How do you find the interior angle of a triangle given the external angle of 125°

How Do You Find The Interior Angle Of A Triangle Given The External Angle Of 125

Answers

Answer 1

Answer:

<x = 55 degrees

<y = 55 degrees

<z = 70 degrees

Step-by-step explanation:

The 125 degree angle and x are supplementary since they form a straight line, which means that their degrees add up to 180. To find x, the interior angle, we must subtract 125 from 180.

180 - 125 = 55

Angle x is 55 degrees. Since the sides opposite x and y are marked with lines, they are congruent, and since the sides are congruent, the angles must be, too. So, y is also 55 degrees.

Finally, the angles in any triangle add up to 180 degrees. To find z, we must subtract the values of x and y from 180.

180 - 55 - 55 = 70, so z is 70 degrees.

Brainliest, please :)

Answer 2

❄Hi there,

the external angle & the interior angle form a linear pair, which means, if you add these angles together, you'll arrive at 180°.

Using this knowledge let's set up an equation and find x:

[tex]\triangleright \ \sf{125+x=180}[/tex]. We let x be the desired angle.

[tex]\triangleright \ \sf{x=180-125=55}[/tex]

So the interior angle is [tex]\angle\sf{55}\textdegree[/tex].


Related Questions

A boat which moves a 15 miles per hour without a current goes 36 miles upstream and 36 miles back in 5 hours. Find the speed of the current

Answers

Answer:

3 mph

Step-by-step explanation:

UPSTREAM:

distance = 36 miles ;

Speed = 15-c mph ;

TIME, t = distance / speed = 36/(15-c)

Downstream :

distance = 36 miles ;

speed = 15+c mph ;

time, t = 36/(15+c)

upstream time + downstream time = 5 hrs

36/(15-c) + 36/(15+c) = 5

36(15+c) + 36(15-c) = 5(15-c)(15+c)

1080 = 5(225 - c²)

1080 / 5 = 225 - c²

216 = 225 - c^2

216 - 225 = c²

-9 = c²

c = 3

expand using exponential form a.) 1492.034 b.) 1200.36​

Answers

Answer:

Step-by-step explanation:

Expanded Exponential Form:

1,492.034 =

1 × 10^3

+ 4 × 10^2

+ 9 × 10^1

+ 2 × 10^0

+ 0 × 10^-1

+ 3 × 10^-2

+ 4 × 10^-3

Expanded Exponential Form:

1,200.36 =

1 × 10^3

+ 2 × 10^2

+ 0 × 10^1

+ 0 × 10^0

+ 3 × 10^-1

+ 6 × 10^-2

4r - 9 = 7r can you help solve

Answers

Answer:

r=4 :)

Step-by-step explanation:

Evaluate the expression when x = 2.5 and y = 6.
5xy

Answers

Answer:

75

Step-by-step explanation:

5(2.5)(6)

5*2.5*6

=75

Answer:

75

Step-by-step explanation:

5*(6x2.5)

6x2.5=15

15x5=75.

I generally need help

Answers

Answer:

24 units²

Step-by-step explanation:

4(12)/2=24

What is the area of the composite figure?
65 cm2
52.5 cm2
40 cm2
60 cm2​

Answers

Answer:

65 cm²

Step-by-step explanation:

follow for more on my id

Answer:

65 cm I just took the test

Step-by-step explanation:

3
Michael split
pounds of candy among 8 people.
What is the unit rate in pounds per person?
Write your answer in simplest form.

Answers

Answer:

1/8

Step-by-step explanation:

The question is incomplete, here is the complete question

Michael split 3/4

pounds of candy among 8 people.

What is the unit rate in pounds per person?

Write your answer in simplest form

SOLUTION:

Micheal splits 3/4 candy among 8 people

Therefore the unit rate per pounds per person can be calculated as follows

= 3/4 ÷ 8

= 3/4 × 1/8

= 3/24

= 1/8

Hence the unit per pound per person is 1/8

In the figure below, m1 =x and m2= x-8. Which statement could be used to prove that x =49?

Answers

Answer:

C.                          m∠1 +m∠2 = 90

Step-by-step explanation:

Which description best fits the graph?

decreasing, then increasing

always increasing

increasing, then decreasing

always decreasing

Answers

always decreasing is the answer

Do the ratios 4/2 and 10/5 form a proportion? Yes or no

Answers

Answer:

These are both 20 so that means that this is proportional, yes.

Step-by-step explanation:

Hi.

To figure this out we can do something called cross multiplying to find a cross product. If we do this and our two answers are equal then it is indeed a proportion.

Here is how we do this.

[tex]\frac{4}{2}[/tex]    [tex]\frac{10}{5}[/tex]

So basically what we are doing is multiplying across in a diagonal direction.

Diagonal meaning like a slash / .

So in this case we would multiply the 4 and the 5 , since they're diagonal from each other.

Do the same for the 2 and the 10.

So we have to multiply :

4 x 5

2 x 10

=

20

These are both 20 so that means that this is proportional, yes.

Hope this helps.

If you have any questions or concerns feel free to message me.

Yes the ratios 4/2 and 10/5 form a proportion.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

To figure this out we can do something called cross multiplying to find a cross product. If we do this and our two answers are equal then it is indeed a proportion.

4/2, 10/5

So basically what we are doing is multiplying across in a diagonal direction.

Diagonal meaning like a slash.

So in this case we would multiply the 4 and the 5 , since they're diagonal from each other.

Do the same for the 2 and the 10.

So we have to multiply :

4 x 5

2 x 10

=20

Hence these are both 20 so that means that this is proportional, yes.

To learn more about Ratios click:

https://brainly.com/question/26974513

#SPJ2

i need help pls i don't know what to do at all pls help

Answers

Answer:

Add all the outer lines and they may add up to be the perimeter, if you need the area multiply 4 times 8 and add that to 5.6*4/2 +4.5*4/2 plus four times eight

Step-by-step explanation:

Answer:

I remember these form when I was like 10 but ok.

Step-by-step explanation:

pretty sure you multiply the base times the height. But first you have to take out all triangwkes which leaves you with two of them.

so 8x4 for the top one and then 14x4.5 for the bottom one.

then for the triangles the one on the left is 5.6x4

the right one is 4.5x14

then divide both triangles answers into two. That should be the triangle areas. Then add the two triangles pieces together.

once don’t add the squares areas with the triangles and that’s THE AREAAAA

im sry I’m a lil rusty so if it’s wrong pwease forgive me :/

Three runners in a relay race share the 8-mile distance equally. How many miles does each runner travel?

Answers

Answer: 2 2/3 miles

Step-by-step explanation:

From the question, we are informed that three runners in a relay race share the 8-mile distance equally.

The number of miles that each runner travel will be the total miles divided by number of runners. This will be:

= 8/3

= 2 2/3 miles

Choose the solution to this inequality.
72≥b+95

Answers

Answer:

B. [tex]b \leq 1\frac{7}{10}[/tex]

Step-by-step explanation:

Isolate b in order to solve the inequality. Subtract [tex]\frac{9}{5}[/tex] on both sides of the inequality, then simplify. (You will need to convert the fractions in order to subtract and simplify further.)

[tex]\frac{7}{2} \geq b + \frac{9}{5} \\\frac{7}{2} -\frac{9}{5} \geq b + \frac{9}{5} -\frac{9}{5} \\\frac{35}{10} -\frac{18}{10}\geq b\\\frac{17}{10} \geq b\\1\frac{7}{10} \geq b[/tex]

Thus, [tex]b \leq 1\frac{7}{10}[/tex].

Answer:

b

Step-by-step explanation:

What is the y intercept and slope??

Answers

Answer:

y = .5x+30

Step-by-step explanation:

[tex]m= \frac{y2-y1}{x2-x1}[/tex]

hope this helps, good luck :)

Can you show me the steps involved in solving this question?

Answers

the Great answer to your problem is A

please help these two questions show working
thank you :)​

Answers

Answer:

a) The acceleration between 20 and 40 seconds is equal to the slope in that range.

Remember that for aline that passes through the points (a, b) and (c, d) the slope is:

slope = (d - b)/(c - a)

In this case we can see the points:

(20s, 2m/s) and (40s, 4m/s)

Then the slope (and thus the acceleration) is:

slope = (4m/s - 2m/s)/(40s - 20s) = (2m/s/20s) = 0.1 m/s^2

The acceleration between 20 seconds and 40 seconds is 0.1 m/s^2

b) The total distance travelled is equal to the area under the curve.

So we could just count the number of squares, this is the easy way.

We can see that each square measures 10 seconds by 1 m/s, then the "area" of each square represents:

a = (10s)*(1m/s) = 10m

This means that each square represents a distance of 10 meters.

We can count that:

between 0s and 10s we have 1 whole square.

between 10s and 20s we have 2 whole squares.

between 20s and 30s we have 2 and half squares.

between 30s and 40s we have 3 and half squares.

Then the total number of squares under the curve is:

1 + 2 + 2.5 + 3.5 = 3 + 2.5 + 3.5 = 3 + 6 = 9

So we have 9 whole squares under the curve, and each square represents a distance of 10 meters, so the total distance traveled is:

Distance = 9*10m = 90m

c) We have an isosceles triangle where we know that one side measures 8.2 cm and another side measures 9.4cm

An isosceles triangle has two equal sides and one different.

So if we want to have the maximum perimeter, the two equal sides must have the longest side length (9.4 cm)

Then the (largest) perimeter of the triangle (the sum of the lengths of all 3 sides) is:

8.2cm + 9.4cm + 9.4cm = 27cm

someone pls help me 10 points

Answers

The answer to the system of equationsis (-3,-1)
-3,-1 is the anwser to it

12 = 6y - 36
Solve for y

Answers

Answer:

y=8

Step-by-step explanation:

add 36 to 12. then divide 48 (the result) by 6 to get 8

Answer:

Y=8

Step-by-step explanation:

12 = 6 x y - 36

12=6 x 8 - 36

12 = (6x8) - 36

12 = 48 - 36

Y= 8

Hope this helps

Mark brainliest if it helps.

How much would a house cost today if it cost $100,000 2 years ago before a 4% increase each year in housing prices?

Answers

Answer:

100000 × 1.04 × 1.04

Step-by-step explanation:

108160

I need help pleaseeeeee

Answers

Given:

[tex]\Delta MAT\cong \Delta MHT[/tex] and [tex]m\angle 2=82^\circ[/tex].

To find:

Whether [tex]m\angle 1=47^\circ[/tex] is possible or not.

Solution:

We have,

[tex]\Delta MAT\cong \Delta MHT[/tex]

[tex]\angle AMT\cong \angle HMT[/tex]                      (CPCTC)

[tex]m\angle 3=m\angle 8[/tex]              ...(i)

And,

[tex]m\angle 1=m\angle 8[/tex]              ...(ii)        (Vertically opposite angles)

From (i) and (ii), we get

[tex]m\angle 1=m\angle 3[/tex]              ...(iii)

Now,

[tex]m\angle 1+m\angle 2+m\angle 3=180^\circ[/tex]          (Linear pair)

[tex]m\angle 1+82^\circ+m\angle 1=180^\circ[/tex]             (Using (iii))

[tex]2m\angle 1=180^\circ-82^\circ[/tex]

[tex]2m\angle 1=98^\circ[/tex]

Divide both sides by 2.

[tex]m\angle 1=\dfrac{98^\circ}{2}[/tex]

[tex]m\angle 1=49^\circ[/tex]

The measure of angle 1 is 49 degrees so it cannot be equal to 47 degrees.

Therefore, the required answer is "no", the given statement [tex]m\angle 1=47^\circ[/tex] is not possible.

solve the system by graphing

x+3y=-3
x-3y=-3​

Answers

Answer:

This one

1

_

3

1

-_

3

Step-by-step explanation:

I know this is easy but I got a diff answer so pls help. Worth 5 points

Answers

Step-by-step explanation:

[tex] \frac{5}{8} \times \frac{3}{2} \div \frac{15}{16} \\ \frac{15}{16} \times \frac{16}{15} \\ = 1[/tex]

Answer:

1

Step-by-step explanation:

5/8 x 1 1/2 / 15/16 = 1                        (5/8 / 15/16 = 2/3,   2/3 x 1 1/2 =1 )

A rectangular playground has an area of 3,162 square meters. If the width of the rectangle is 51 meters, find the length.

Answers

Answer:

   

Step-by-step explanation:

What does this add up to 5/27 + 1/27 =

Answers

Answer:

6/27

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

5/27+1/27=6/27

reduced to lowest denominator

(divide top & bottom by 3)

2/9

Another math problem

Answers

Answer:

sorry no se la respuesta

5-1(b+2) =

3+4(3m+2n) =

Answers

hope this helps! feel free to clarify

Answer:

5-1(b+2) = 5-b-2=3-b

3+4(3m+2n) =3 +12m +8n

11w+5w-1=65w-36
Ayuden poniendo tambien el procedimiento plis

Answers

Answer:

w=1.4

Step-by-step explanation:

11w+5w-1=65w-36

16w-1=65w-36

16w-65w= -36+1

-49w= -35

w= -35/-49

w= 1.4

What's the equation of a line that passes through point (–1, 3) with a slope of 1?

Answers

Answer:

y = 1x + 4

OR

y = x + 4

Step-by-step explanation:

PLEASE HELP!!!!
If angles P and Q are complementary, which statement about the two angles is true?

P and Q are opposite facing.

P and Q add up to 90°.

P and Q are always adjacent.

P and Q sum to 180°.

Answers

P and Q add up to 90 degrees

Answer:

P and Q add up to 90°.

Step-by-step explanation:

Hey can someone please help me with this

Answers

Answer:

Esteban

Step-by-step explanation:

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