Applying the angle of intersecting chords theorem, the value of x is: 40º.
What is the Angle of Intersecting Chords Theorem?According to the angle of intersecting chords theorem the following equation is true:
x = 1/2(a + b).
Given the following:
a = 35º
b = 45º
Plug in the values
x = 1/2(35 + 45)
x = 1/2(80)
x = 40º
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the cost of contructing a 63mcube wall is rs 84000. find the volume of each brick if the cost of a bric is rs 13
Answer:
0.00975 m^3 each
Step-by-step explanation:
rs 84000 / rs 13 = 6461.539 bricks
63 m^3 / 6461.539 = 0.00975 m^3 each
Write the equation of the line that passes through the points (8, 14) and (-2,-16) in slope-intercept form.
Answer:
y = 3x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, 14) and (x₂, y₂ ) = (- 2, - 16)
m = [tex]\frac{-16-14}{-2-8}[/tex] = [tex]\frac{-30}{-10}[/tex] = 3 , then
y = 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 14 ) , then
14 = 24 + c ⇒ c = 14 - 24 = - 10
y = 3x - 10 ← equation of line
Please answer ASAP
The perimeter of a rectangle is 176 m. The length is equal to 3 times the width decreased by 4. Find the dimensions of the rectangle.
Answer:
L=65m
W=23m
Step-by-step explanation:
[tex]3W-4=L\\2L+2W=176\\\\2L+2W=176\\-2L+6W=8\\8W=184\\W=23m\\L=23*3-4=65m[/tex]
The length and width of the rectangle are 63m and 25m.
What is a rectangle?A rectangle is a quadrilateral, a 2d shape that has four sides and four vertices.
We have,
The perimeter of a rectangle = 176 m
Length of the rectangle = L = 3 x (W- 4 )
Width of the rectangle = W
The perimeter of a rectangle is given by:
176 = 2 ( L + W )
176 = 2 ( 3 ( W - 4 ) + W )
176 = 2 ( 3W - 12 + W )
176 = 2 ( 4W - 12 )
176 = 8W - 24
176 + 24 = 8W
200 = 8W
W = 200 / 8
W = 25 m
Now,
Put W = 25 in L = 3 x ( W - 4 )
L = 3 x ( 25 - 4 )
L = 3 x 21
L = 63 m
We can cross-check:
Perimeter = 2 ( 63 + 25 ) = 2 ( 88 ) = 176 m
Thus the length and width of the rectangle are 63m and 25m.
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A student claims that x=3 and 2+3i are the zeros of a quadratic function. Explain why this is incorrect
Answer:
Because it's not a quadratic function.
Step-by-step explanation:
The imaginary roots of a quadratic equation will always be in form of a ± b thus 3 and 2 + 3i will be incorrect.
What are the roots of an equation?The roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.
The standard form of a quadratic equation is,
ax² + bx + c = 0
The root of it is given by,
x = [-b ± √(b²-4ac)]/2a
For being this as imaginary the term b²-4ac < 0
Let's say b²-4ac = -m then
x = (-b/2a) ± (m/2a)i so both root will be imaginary.
Given that one root is real (3) and the second is imaginary (2 + 3i) is not possible.
Hence "The imaginary roots of a quadratic equation will always be in form of a ± b thus 3 and 2 + 3i will be incorrect".
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PLEASE ANSWER!!!!!
An eagle is flying at an altitude of 280 feet. The angle of depression from the eagle to a mouse on the ground is 15º. What is the direct line distance from the eagle to the mouse? Round answer to the nearest thousandth.
[tex] \sin = \frac{opp}{hyp} [/tex]
[tex] \sin(15) = \frac{280}{hyp} [/tex]
[tex]hyp = \frac{280}{ \sin(15) } [/tex]
[tex]hyp = 1081.836925 \: feet[/tex]
The direct line distance from the eagle to the mouse is 1081.837 feet
The number of possible high fives, H, within a group of n people is given by the formula h = 1/2(n^2-n). After the Angels won the world series, there were 66 high fives at Jon’s house. How many people were at Jon’s house?
Answer:
maybe uh 34567
Step-by-step explanation:
is 8 x 2/8 less than 8 or greater than 8
Answer: yes if is
Step-by-step explanation:
What is the exact length of each side?
Answer:
[tex]6a^{2} \sqrt{ab}[/tex]
Step-by-step explanation:
area of square = side x side
thus, each side = square root of area
[tex]\sqrt{36a^5b}[/tex] = 6[tex]\sqrt{a^{4} ab}[/tex] = 6[tex]a^{2}[/tex][tex]\sqrt{ab}[/tex]
Pleaseeee help I need a answer fast
Answer:
300
Step-by-step explanation:
im smart
please help me I will mark brainiest
Answer:
x = 6
Step-by-step explanation:
To solve for x, do inverse operations on both sides of the equation:
x + 4 = 10
- 4 - 4
---------------
x = 6
x = 6
Answer:
6
Step-by-step explanation:
x + 4 = 10
6 + 4 = 10
Identify the cross section that results from slicing the three-dimensional figure with a plane that is parallel to its base
A)Pyramid
B)Rectangle
C)Square
D)Triangle
Answer:
D) triangle
Step-by-step answer:
A pyramid is a three-dimensional figure with a plane that is parallel to its base.
PyramidA three dimensional figure is a figure with a length, width and height. 3D shapes have faces, edges, and vertices.
Rectangle, square and triangle are two dimensional shapes while pyramid is a three dimensional shape.
A pyramid is a three-dimensional figure with a plane that is parallel to its base.
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factor out the gcf 12y³+10y²
Answer:
Find the prime factors of each term in order to find the greatest common factor (GCF).
2y^2
Factoring out the greatest common factor (GCF)To factor the GCF out of a polynomial, we do the following: Find the GCF of all the terms in the polynomial. Express each term as a product of the GCF and another factor. Use the distributive property to factor out the GCF.
Step-by-step explanation:
Hope it is helpful.....
A
walking path across a park is represented by the equation y = -3x - 6. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-3, 3). Identify the equation that represents the new path.
Answer:
We are given the path, y=-3x-6
The general form of the straight line is 'y=mx+b', where 'm' is the slope and 'b' is the y-intercept.
Thus, the slope of the given line is -3.
As, we have that the incipient path is perpendicular to the given path.
And, we ken that, 'Product of slopes of perpendicular lines is -1'.
Since, the incipient path passes through the point (-3,3). Superseding the values in the general form, we get,
b= 3+1
b= 4.
Step-by-step explanation:
The product of two numbers is 24. One of the numbers is 10 units less than the other. The numbers are:
A. 0 and 12
B. 12 and -2
C. 10 and 14
D. -12 and 2
E. -12 and -2
Which is true?
Please I need your help fast
Answer:
E. -12 and -2
Step-by-step explanation:
-12 x -2 = 24
brainliest please
Answer:
Obviously -12 and -2 is true.
Check whether -2 is a zero of the polynomial 3x2 + 4x + 32 .
Answer:
x = - 2 is not a zero
Step-by-step explanation:
If x = - 2 is a zero of the polynomial then f(- 2) = 0
f(x) = 3x² +4x + 32
f(- 2) = 3(- 2)² + 4(- 2) + 32 = 3(4) - 8 + 32 = 12 - 8 + 32 = 36
Since f(- 2) ≠ 0 , then x = - 2 is not a zero of the polynomial
el área de un mosaico es de 900cm2 ¿cuánto mide por lado cada mosaico
Answer:
El lado de cada mosaico tiene una longitud de 30 cm.
Step-by-step explanation:
El area de un mosaico cuadrado es:
[tex]A=l^{2}[/tex]
Donde l es el lado del mosaico.
Entonces, si sabes que el area es 900 cm², el lado valdra:
[tex]900=l^{2}[/tex]
[tex]l=\sqrt{900}[/tex]
[tex]l=30\: cm[/tex]
Por lo tanto el lado de cada mosaico tiene una longitud de 30 cm.
Espero te haya servido!
find the value of a and b of a+root5 is (root5+root3)(root5-root3)
Given:
Consider the value of [tex]a+b\sqrt{5}[/tex] is [tex](\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})[/tex].
To find:
The values of a and b.
Solution:
According to the given information,
[tex]a+b\sqrt{5}=(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})[/tex]
[tex]a+b\sqrt{5}=(\sqrt{5})^2-(\sqrt{3})^2[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]a+b\sqrt{5}=5-3[/tex]
[tex]a+b\sqrt{5}=2[/tex]
It can be written as
[tex]a+b\sqrt{5}=2+0\sqrt{5}[/tex]
On comparing both sides, we get
[tex]a=2,b=0[/tex]
Therefore, the value of a is 2 and the value of b is equal to 0.
Find an ordered triple that represents 65 = (2, 6, 8) and Ž = (1, -2, 6).
Answer:
< 40, 28, 72 >
Step-by-step explanation:
Given
y = < 2, 6, 8 > and z = < 7, - 2, 6 > , then
6y + 4z
= 6 < 2, 6, 8 > + 4 < 7, - 2, 6 >
Multiply each component by the scalar quantity
= < 6(2), 6(6), 6(8) > + < 4(7), 4(- 2), 4(6) >
= < 12, 36, 48 > + < 28, - 8, 24 >
Add corresponding components
= < 12 + 28, 36 - 8, 48 + 24 >
= < 40, 28, 72 >
How do the 6s in 0.96 and 93.601 compare?
The value of the 6 in 0.96 is 100 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 10 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 110 the value of the 6 in 93.601.
The value of the 6 in 0.96 is 1100 the value of the 6 in 93.601.
Answer:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.9 compared to the 6 in 93.601 which is in the tenths place.
Step-by-step explanation:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.96 is in the hundredths place, compared to the 6 in 93.601 which is in the tenths place.
Answer:
The value of the 6 in 0.96 is 110 the value of the 6 in 93.601
Step-by-step explanation:
(GIVING BRAINILEST) Which characteristic do stable ecosystems tend to have s
Answer:
It will be C
Step-by-step explanation:
This is because ecosystems worh high biodiversity tend to be more stable
Hope this Helped
Answer:
The awnser is c i took the test ( a high amount of bio deversety)
Step-by-step explanation:
1 + 7x
The sum of two numbersis 23. The greater number
is b. Select the expression that represents the lesser
number.
Answer:
Step-by-step explanation:
a+b = 23
a<b
a = 23-b
–4v – 9z – 9v + 2 – 4v find the sum
Answer:
-1x(13v+9z+2)
Step-by-step explanation: try solve this :)
Answer
-17v-9z+2
Step-by-step explanation:
First collect the like terms
-4v-4v-9v-9z+2
-17v-9z+2
Since we can no longer add up due to they are unlike term. Therefore our answer is -17v-9z+2
Write Each Ratio as a Percent
1. 14 losses in 50 games
2. 4/5 of the students ride the bus
3. if AB represents 25% what is the length of a line segment that is 100%?
A________________B
5ft
Answer:
28%
80%
20
Step-by-step explanation:
hope this helps
Please solve this question
For a school fundraiser, Tory sold 28 bags of popcorn and 40 candy bars and made $282. Jake sold 17 bags of popcorn and 20 candy bars and made $160.50.
Write a system of equations which represents this situation.
A. 28p + 17p and 40c + 20c = 160.50
B. 28p + 20c = 282 and 17p + 40c = 160.50
C. 28p + 40c = 282 and 17 + 20c = 160.50
D. 28p + 40c + 17p + 20c = 282 + 160.50
Help please! Thank youuuuuy
Step-by-step explanation:
can an.y gi.rl message me. i have no power to inbox
Answer the photo below thanks
Drop the answer love:)
Or.. i'll drop ur ip<3
mwa
First okay and second umm my what?! Lol
The answer is : - 112
We add 14 to both side
-16x - 14 = -126
+ 14 +14
-16x = - 112. <- that’s the answer
Then we divide both sides by 16
X = 7
Ta -Da!!
Also I’ll leave this.....
I need help, I don't just need to answer I need to know the steps on how to solve it asap
I really don't understand this
Answer:
First Game: She wins
Second game: She loses
Third game: She loses
Step-by-step explanation:
If the graph go down she loses, if it goes up she win.
for example on the first try she won so she gets 1 point there is a dot at 1, for the second try she loses so she gets 0 points, the mean score which is (1+0)/2 is .5
on the third try she lost again so she gets another 0 point so (1+0+0)/3 = .33
and so on