i need help with this

I Need Help With This

Answers

Answer 1

Answer:

A tangent to a circle is a straight line which touches the circle at only one point.  Therefore, if [tex]x=2y+5[/tex] is a tangent of [tex]x^2+y^2=5[/tex] then there will be one point of intersection.

To find the point of intersection, substitute [tex]x=2y+5[/tex] into [tex]x^2+y^2=5[/tex] and solve for y:

[tex]\implies (2y+5)^2+y^2=5[/tex]

[tex]\implies 4y^2+20y+25+y^2=5[/tex]

[tex]\implies 5y^2+20y+20=0[/tex]

[tex]\implies y^2+4y+4=0[/tex]

[tex]\implies (y+2)^2=0[/tex]

[tex]\implies y+2=0[/tex]

[tex]\implies y=-2[/tex]

Substitute found value of y into [tex]x=2y+5[/tex] and solve for x:

[tex]\implies x=2(-2)+5=1[/tex]

Therefore, there is one point of intersection at (1, -2), thus proving that the straight line equation is a tangent to the circle.

I Need Help With This

Related Questions

531x22 long mutipulcation

Answers

Answer:

11,682 the answer is that hope you get a A!

531

×22

+1062

+1062  

=11682

Therefore:

531 × 22 = 11,682

2/5n+ 3/6+ 1/8n
what does it equal

Answers

Answer:

[tex]\frac{21}{40}n[/tex] + [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The important part to understand about this problem is that you need to find a common denominator. You can ONLY add two fractions if they have the same denominator. A way to change the denominator of a fraction is to multiply the numerator and denominator of the fraction by the same number.

So, You want to make the 2/5n and 1/8n to have the same denominator so you can add them. An easy rule of thumb is multiply the one of the fraction by the other fraction's denominator, so in this problem:

[tex]\frac{2 * 8}{5*8} n[/tex] and [tex]\frac{1*5}{8*5}n[/tex]

this comes out as

16/40n and 5/40n

NOW, they have the same denominator and you can add the numerators together to make it one happy fraction

[tex]\frac{16}{40} + \frac{5}{40} = \frac{16+5}{40} = \frac{21}{40}[/tex]

Then, for the 3/6, you can simplify this fraction into:

1/2

This is because if you divide the top and bottom of the fraction by 3 like so:

[tex]\frac{3/3}{6/3}[/tex] (Always make sure you do the same for the top as you do to the bottom)

This comes out as

[tex]\frac{1}{2}[/tex]

Then for the full equation:

[tex]\frac{21}{40} n + \frac{1}{2}[/tex]

Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (1,8) and perpendicular to 3x + 5y = 1

Answers

Step-by-step explanation:

a) 2y = 3x + 4

b) given the perpendicular

3x + 5y = 1

5y = 1 - 3x

y = 1/5 - 3x/5

m¹ = -3/5

perpendicular

m¹m² = -1

-3m²/5 = -1

m² = 5/3

so (1,8)

x¹ = 1 y¹ = 8

m² = (y - y¹)/(x - x¹)

5/3 = (y - 8)/(x - 1)

5x - 5 = 3y - 24

3y - 5x + 5 - 24 = 0

3y = 19 + 5x

^^^^^^^^^^^^^^^^^^^^^^

PLEASE HELP QUICK !!!!

For each of the following functions, list the excluded values from the
domain:
f (x) =
g(x) =
2-3
22 9
h(x) = V16 – 22

Answers

Answer:

fx is 4, gx is 3, hx is anything greater than, not equal to, 4.

Hope this helps!

Find the 10th term of the following geometric sequence 6,24,96,384,…

Answers

Answer:

1572864

Step-by-step explanation:

the nth term of a geoemtric series can be calculated using the following rule : [tex]a_n=a_1(r)^n^-^1[/tex]

where an = nth term, a1 = first term , r = common ratio and n = term position.

here, the first term is 6, the common ratio is 4 and the term position is 10 ( because we want to find the 10th term )

so a1 = 6 , r = 4 and n = 10

using these values we plug them into the rule

recall rule : [tex]a_n=a_1(r)^n^-^1[/tex]

==> plug in a1 = 6 , r = 4 and n - 10

[tex]a_1_0=6(4)^1^0^-^1[/tex]

==> subtract 10 and 1

[tex]a_1_0=6(4)^9[/tex]

==> simplify exponent

[tex]a_1_0=6(262144)[/tex]

==> simplify multiplication

[tex]a_1_0=1572864[/tex]

and we are done!

Note:

the common ration was found by dividing the first term by the next term

Find x. Perimeter.

What is the value of x?

What is the perimeter of this triangle?

Answers

Step-by-step explanation:

the distance of a vertex on the 2 outgoing sides to the touching points with the inscribed circle is the same for both sides.

and that applies to all 3 vertexes.

so, we know for the top left vertex the distance to both touching points is 4.

that means the distance to the touching points from the bottom left vertex is 7-4 = 3.

and that means that the distance to the touching points from the bottom right vertex is 16-3 = 13.

so, x = 13

it is the distance to one of the touching points for the bottom right vertex.

and the perimeter of the triangle is therefore

7 + 16 + (13 + 4) = 40

Sam wants to create a linear function and an exponential function, both of which have a y-intercept
of (0,8) and pass through the point (9,512). Help Sam create his functions.

Answers

Step-by-step explanation:

Exponential function is

[tex]y = a \times {b}^{x} [/tex]

where a is the y intercept, or the initial value.

b is the constant rate.

Since a is the y intercept, this means a is 8. So we have

[tex]y = 8 \times {b}^{x} [/tex]

Now, plug in 9 for x. 512 for y to find b.

[tex]512 = 8 \times {b}^{9} [/tex]

[tex]64 = {b}^{9} [/tex]

[tex] \sqrt[9]{64} = b[/tex]

[tex]64 {}^{ \frac{1}{9} } = b[/tex]

[tex]4 {}^{ \frac{1}{3} } = b[/tex]

[tex] \sqrt[3]{4} = b[/tex]

So the equation is

[tex]y = 8( \sqrt[3]{4} ) {}^{x} [/tex]

Jonah's lunch cost $27.50, he paid $1.65 sales tax. What is the percent of sales tax?

Answers

Answer:

6%

Step-by-step explanation:

To get sales tax, you multiply the percentage of sell tax to the total price. In this case, we were looking for the percent of sell tax so we needed to divide the total amount into the amount he payed in sells tax. You will get the decimal value so you will have to multiply it by 100 to get the percent.

HAPPY BIRTHDAY!
You have decided to give your best friend a bag of red
and green marbles for his birthday. Your friend likes
green marbles better than red ones, so the bag has
twice as many green marbles as red. The label on the
bag says it contains a total of 84 marbles.
How many green marbles are in the bag? Write a
system of equations for this problem. Then solve the
problem using any method you like. Be sure to check
your solution

Answers

Answer:

56

Step-by-step explanation:

(84÷3) · 2 = x

28 · 2 = 56

Hope that helps!

=
O FRACTIONS
Fraction multiplication
Multiply. Write your answer as a fraction in simplest form.
3 6
Х
4 5
OL
Х
?

Answers

Answer:

Perhaps 2/5, if I understand your question.

Step-by-step explanation:

i don't understand the format of your question:

"3 6

Х

4 5

OL

Х

?"

Is this meant to be (3/6)*(4/5)  ??

If so:

(3/6)*(4/5) = (12/30)

(12/30) = 6/15

6/1`5 = 2/5

Please Help this is due soon

The table below represents an exponential function.

table represents an exponential function.
What is the interval between neighboring
x-values shown in the table?
1
What is the ratio between neighboring y-values?
4
What is the equation for this pattern?
y = _^x

I only need the last one answered

Answers

Answer:

[tex]y = {4}^{x} [/tex]

is the answer

You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1. 5 feet, and the height will be 20 inches. Part A Find the volume of the fish tank in cubic inches. The volume is cubic inches. Part B Your math teacher tells you that your fish tank will have a capacity of about 976 cups. You have a total of 30 tropical fish. For them to flourish in a fish tank, there needs to be an average of 2 gallons of water for each fish. Convert 976 cups to gallons. 976 cups equals gallons.

Answers

Unit conversion is a way of converting some common units into another without changing their real value. 30 fishes can flourish in a fish tank with a capacity of 976 cups.

What is Units conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that the length will be 1 yard 3 inches, the width will be 1. 5 feet, and the height will be 20 inches. Therefore, Converting all the dimensions to inches.

Length = 1 yard 3 inches = 36 inches + 3 inches = 39 inches

Width = 1.5 feet = 1.5×12 = 18 inches

Height = 20 inches

A.) The volume of the fish tank can be written as,

[tex]\rm \text{Volume of the Fish Tank} = Length \times Width \times Height[/tex]

                                      [tex]= 39 \times 18 \times 20\\\\= 14,040\rm\ in^3[/tex]

Thus, the volume of the fish tank is 14,040 in³.

B.) As we know that a cup is equal to 0.0625 gallons. Therefore, the capacity of the fish tank in gallons can be written as,

[tex]\rm 1\ cup= 0.0625\ gallons\\\\976\ cup= 976 \times 0.0625\ gallons\\\\976\ cup= 61\ gallons[/tex]

Now, for a total of 30 fish, the water that will be needed is one fish needs 2 gallons of water is,

[tex]\rm Water\ Needed = 30 \times 2 = 60\ gallons[/tex]

As the water needed for the 30 fishes to flourish is 60 gallons while the tank has a capacity of 61 gallons.

Hence, 30 fishes can flourish in a fish tank with a capacity of 976 cups.

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What is the area Of the desk

Answers

Answer:

28 ft²

Step-by-step explanation:

area of the desk = (5×4) + (4×2) = 20 + 8 = 28 ft²

Answer:

28

Step-by-step explanation:

5 times 4 = 20

4 times 2= 8

20 plus 8=28

wich one' is the right answer need help

Answers

Answer:

C

Step-by-step explanation:

because density equal all the rest

I’ll give Brainly but can somebody help me with this?

Answers

Answer:

give me 2 minutes and I will

If 12 workers can dig a tunnel in 100 days, how long will it take 20 workers to dig the tunnel

Answers

Answer:

60 days.

Step-by-step explanation:

This is  a proportion question. You compare two ratios. Unfortunately it is an inverse ratio.

12 = k/100                   Multiply both sides by 100

1200 = k

20 = k/x                       Multiply both sides by x

20x = k

20x = 1200                 Divide by 20

20x/20 = 1200/20

x = 60 days.  

An inverse proportion works by making a constant k. The  constant k makes the days shorter when the number of people increases. You should expect that. More people , less time.

A kite is inscribed in a square with a side length of 9 units. What is the area of the kite? 27. 5 square units 36. 0 square units 40. 5 square units 45. 0 square units.

Answers

45. 0 square units.

The area of the kite is 40.5 unit square.

The side of the kite inscribed in square is 9

We have to find the area of the kite

What is the formula for the area of the kite?

The area of a kite is,

[tex]A = (d_1d_2) / 2[/tex]

Where [tex]d_1[/tex] and [tex]d_2[/tex] are the diagonals of the kite.

The kite is inscribed in the square, and the sides of the square are 9 units, the diagonals of the kite are both 9 units.

Therefore we get,

[tex]d_1 = 9 units[/tex]

[tex]d_2 = 9 units[/tex]

[tex]A = (9units \times 9units) / 2[/tex]

[tex]A = 81units^2 / 2[/tex]

[tex]A = 40.5 units^2[/tex]

So the third option is correct .

Therefore ,The area of the kite is 40.5 unit square.

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is it adjacent or vertical


find the value of X

Answers

Answer:

Adjacent, x = 60°

Step-by-step explanation:

Adjacent angles are pairs of angles next to each other. Vertical angles make an x shape, are across from each other, and have the same measure. These are adjacent angles.

This is a 90° angles, which is signified by the little red box. To solve for x, make an equation by adding the two angles together and set them equal to 90.

x - 30 + x = 90

2x - 30 = 90

2x - 30 + 30 = 90 + 30

2x = 120

2x/2 = 120/2

x = 60°

Here, the angles and (x - 30)° both are complementary angles, so they will add upto 90°, thus we can obtain a equation as ;

[tex]{:\implies \quad \sf x^{\circ}+(x-30)^{\circ}=90^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2x^{\circ}-30^{\circ}=90^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2x^{\circ}=120^{\circ}}[/tex]

[tex]{:\implies \quad \sf x^{\circ}=\dfrac{120^{\circ}}{2}=\bf \boxed{60^{\circ}}}[/tex]

Hence, the required value of x is 60

Baba Clothing store is a having a 5% off sale on all of its clothing. Which expression represents the discounted price if p is the original price?

Answers

Answer:

The total of the prices of all of the baby shirts and sweaters that the store sold during the sale was $420.00. It's possible that 12 sweaters and 8 shirts are sold a bargen

Step-by-step explanation:

In ΔVWX, x = 110 inches, v = 700 inches and ∠W=9°. Find ∠X, to the nearest degree.

Answers

The value of ∠X in triangle VWX ( ΔVWX) to the nearest degree is 2 degrees.

The angle X can be found using the cosine rule.

Cosine rule

w² = x² + v² - 2xv cos W

w² = 110² + 700² - 2 × 110 × 700 cos 9°

w² = 12100 + 490000 - 154000 cos 9°

w² = 502100 - 154000 × 0.98768834059

w² = 502100 - 152104.004452

w = √349995.995548

w = 591.604593921

w = 591.60 inches

Using sine rule, let's find ∠X

Sine rule

110 / sin X = 591.60 / sin 9°

Therefore,

110 sin 9 = 591.60 sin X

sin X = 110 sin 9 / 591.60

sin X = 110 × 0.15643446504 / 591.60

sin X = 17.2077911544 / 591.60

X= sin⁻¹ 0.02908686807

∠X = 1.66678986656

∠X = 2 degrees

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Evaluate the expression for m = -3.

-4|5 + m|

Type the correct answer in the box. Use numerals instead of words.

Answers

Answer:

The answer is -8

-4 l5 +(-3)l

-4 (2) = -8

Answer: Correct answer is  -8

Step-by-step explanation:

Substitute the given value of m into the expression:

-4|5 + (-3)|.

Then evaluate using the order of operations:

-4|5 + (-3)|

= -4|2|

= -4(2)

= -8

Edmentum Answer

parts of an algebraic expression separated by plus or minus signs are

Answers

Answer:  called tthe term of an algebraic expression.

Step-by-step explanation: We know an algebraic expression is a collection or combination of constant and variables of one or more terms, which are separated by the fundamental operations (+, –, × and ÷).Some of the examples of algebraic expression are 7b + 5m, 5x + 3y + 10, 5x/y + 3, x + y + z, etc.Terms of an algebraic expression:Each part of an algebraic expression which are separated by plus sign (+) or minus sign (-) is called the term of an algebraic expression. It’s important to remember that the division sign (÷) or multiplication sign (×) does not separate the terms of an algebraic expression.

Examples of algebraic expressions and their terms:

(i)  x + 10

We observe that the number of terms used in the expression x + 10 is 2. The terms are x and 10.

(ii)  5m + 2n - 7

We observe that the number of terms used in the expression 5m + 2n – 7 is 3. The terms are 5m, 2n and 7.

(iii)  3a/b

We observe that the number of term used in the expression 3a/b is 1. The term is 3a/b.

(iv) 3xy + 7xz + 2yz - 6

We observe that the number of terms used in the expression 3xy + 7xz + 2yz - 6 is 4. The terms are 3xy, 7xz, 2yz and 6.

)  2abc + 1

We observe that the number of terms used in the expression 2abc + 1 is 2. The terms are 2abc and 1.

Therefore, the algebraic expressions are either simple or compound.

(i) Simple algebraic expressions consist of one term.

(ii) Compound algebraic expressions consist of two or more terms.

Determine whether or not the equation below is balanced. If it isn’t balanced, write the balanced form. Also, identify the reactant(s) and product(s) in this equation. Finally, label this as one of the five types of reactions: combination, decomposition, substitution, double replacement, or reversible.

Zn+ HCl → ZnCl2 + H2

Answers

Answer:

1. The equation isn't balanced because there aren't equal numbers of hydrogen or chlorine atoms on both sides of the equation. To correct this, a coefficient of 2 must be placed in front of HCl on the left-hand side of the equation.

Zn+2HCl→ZnCl2+H2

Zn and 2HCl are the reactants; ZnCl2 and H2 are the products. This is a substitution reaction because a free element (Zn) replaces another element (H) in a compound.

2. This is a balanced equation because the same types of atoms and the same numbers of each atom are present on both sides of the equation. 8 S atoms are found on both sides of the equation, and 48 F atoms are found on both sides of the equation. S8 and 24F2 are the reactants; 8SF6 is the product. This is a combination reaction because two substances (S8 and 24F2) undergo a chemical union to form a more complex substance (8SF6).

S8+24F2→8SF6

3. In ferric oxide (Fe3O4), there are 3 atoms of iron (Fe) and 4 atoms of oxygen (O). From the Periodic Table of Elements, we know that the atomic mass of iron is 55.8457 and the atomic mass of oxygen is 15.9994.

Fe3 = 55.8457 × 3 = 167.5371

O4 = 15.9994 × 4 = 63.9976

167.5371 + 63.9976 = 231.5347 (231.535 rounded)

Therefore, the molecular mass of ferric oxide is 231.535.

4. The percentage composition of chlorine in CaCl2 is derived as follows:

The molecular mass of the entire compound is:

Ca = 40.078 × 1 = 40.078

Cl2 = 35.4527 × 2 = 70.9054

40.078 + 70.9054 = 110.9834 (110.983 rounded)

The atomic mass of each element (or its multiple) is divided by the molecular mass of the compound:

Ca = 40.078 ÷ 110.983 = 0.361

Cl2 = 70.9054 ÷ 110.983 = 0.639

Multiplying each by 100 will turn these into percents. Therefore, the percentage composition of chlorine is 63.9%.

5. i. a, c, f, h

ii. e

iii. b, d, g, i

iv. i

Step-by-step explanation:

PENN FOSTER

The given chemical equation represents a type of reaction known as a single replacement (or displacement) reaction. In this reaction, zinc (Zn) displaces hydrogen (H) from hydrochloric acid (HCl) to form zinc chloride ([tex]ZnCl_2[/tex]) and hydrogen gas ([tex]H_2[/tex]).

The given chemical equation is:

[tex]Zn + HCl \rightarrow ZnCl_2 + H_2[/tex]

To determine if the equation is balanced, we need to check if the number of atoms of each element is the same on both sides of the equation.

On the left side (reactant side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 1

Chlorine (Cl) atoms: 1

On the right side (product side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2 (from[tex]ZnCl_2 + H_2[/tex])

Chlorine (Cl) atoms: 2 (from [tex]ZnCl_2[/tex])

The number of hydrogen (H) and chlorine (Cl) atoms is not balanced between the reactants and products. To balance the equation, we need to have the same number of atoms on both sides.

Balanced equation:

[tex]Zn + 2HCl → ZnCl_2 + H_2[/tex]

Now, the equation is balanced with the following number of atoms on both sides:

On the left side (reactant side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2

Chlorine (Cl) atoms: 2 (2 from HCl)

On the right side (product side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2 (from H2)

Chlorine (Cl) atoms: 2 (from ZnCl2)

Identification of reactants and products:

Reactants: Zn (zinc) and HCl (hydrochloric acid)

Products: [tex]ZnCl_2[/tex] (zinc chloride) and [tex]H_2[/tex] (hydrogen gas)

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Math tangent of a circle Also sorry my sister got a hold of it
ASAP!!!

Answers

Imagine we drew a line from the centre (2,0) to the point (0,4).

Essentially the line we drew from the centre to that point on the circle is perpendicular to the tangent line slope-wise.

The slope of that line from the centre to the point is -2 based on the slope's equation or formula.

  slope = [tex]\frac{y2-y1}{x2-x1}=\frac{4-0}{0-2} =-2[/tex]

Therefore the tangent equation's slope is 1/2 since any perpendicular line's slope is the negative reciprocal of the original line's slope.

By using the point-slope form, we must have the point on the tangent plane (0,4) and the slope we found which is 1/2.

 [tex]y - 4 = \frac{1}{2}(x-0)\\ y= \frac{1}{2}x + 4[/tex]

Hope that helps!

What is the domain of the function in this table?
х
2
3
4
5
у
5
8
11
14

Answers

5 lol it’s simple just use the two numbers in the middle or the one number in the middle

Mayrin has rectangular rug with an area of 36 square feet. The area is represented by the equation f(x)= x2 + 5x – 36 and this rug is 5 feet longer than it is wide. What are the dimensions of the rug?

Answers

Answer:

B)  width = 4 ft

    length = 9 ft

Step-by-step explanation:

Area = 36 ft²

Let width = x

⇒ length = x + 5

Area of a rectangle = width × length

⇒ 36 = x(x + 5)

⇒ x² + 5x - 36 = 0

⇒ x² + 9x - 4x - 36 = 0

⇒ (x² + 9x) + (-4x - 36) = 0

⇒ x(x + 9) - 4(x + 9) = 0

⇒ (x + 9)(x - 4) = 0

⇒ x = -9, x = 4

As distance is positive, x = 4 only

Therefore,

width = x = 4 ft

length = x + 5 = 4 + 5 = 9 ft

100 BRAINLY POINTS!!!

Each point on the scatter plot below represents the number of hours a student studied for a test and the
student's test scores.

Which equation is the closest approximation to the line of best fit?

A. y = -10x + 92

B. y = 6x + 59

C. y = 10x + 45

D. y = 15x + 30

PLEASE HURRY CUH

EXPLAIN YOUR ANSWER
SHOW YOUR WORK

Answers

Let's take 1 of x axis from plot (It has three values in y so much useful)

#A

y=-10x+92=-10+92=82

#B

y=6x+59=6+59=65

#C

y=10x+45=10+45=55

#D

y=15x+30=15+30=45

A and D are out of radar .Now we need to find most approx between B and C

Go to 2 now.(Same 3 values)

#B

y=12+59=71

#C

y=20+45=65

65 lies between 60 and 70 ,most approximately equal .

Option C is correct

Answer:

C [tex]y=10x+45[/tex]

Step-by-step explanation:

Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.

All the given options for the line of best fit are linear equations.

Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.

Linear equation:  [tex]y=mx+b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 45.  So this suggests that option C is the solution.

We can also see that the line of best fit appears to be the same distance from points (3, 75) and (4, 85).  So we can use the slope formula with these points to give a rough estimate of the slope of the line of best fit:

[tex]\sf{slope=\dfrac{y_2-y_1}{x_2-x_1}}=\dfrac{85-75}{4-3}=10[/tex]

Therefore, this concurs that C is the solution and that the closet approximation to the line of best fit is [tex]y=10x+45[/tex]

Bananas cost $0.48 per pound. If you spent $1.84, how many pounds of bananas did you
purchase?

Answers

Answer:

3 pounds of bananas

Step-by-step explanation:

1.84 ÷ 0.48 = 3.8333etc

since you can't buy 4 pounds with the money you have its 3 pounds of bananas

I need help, please? I am just really confused about this.

Answers

Answer:

blank space 1: 120

blank space 2: 85

Step-by-step explanation:

you subtract 35 from it

Find X using the diagram.

Answers

Answer:

58°

Step-by-step explanation:

Refer to the letters in my diagram.

Angle AOB measures 64°. Angle ACB, since itis a circle angle o nthe same chord AB, measure half of it, or 32°.

Furthermore, angle ABC is a right angle since triangle ABC has side AC on a diameter and B on the circle.

Now, since the sum of all internal angles in a triangle is 180°, we have , [tex]x+32\°+90\°=180\°\rightarrow x = 58°[/tex]

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