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3 years ago

The interior angles of a triangle have measures k°, 27°, and 10°. What is the value of k? Enter your answer in the box.

2 answers:

8 0

I just took this quiz.

The answer is 143 because the angles of a triangle always add up to 180. And if you subtract off 27 and 10 from 180, you will get 143.

Triss [41]3 years ago

3 0

To find the measure of the third angle you should keep in mind the following:
The sum of the three interior angles of a triangle is 180 °.
We have then
k + 27 + 10 = 180
Clearing k:
k = 180-27-10 = 143
K = 143 °
Answer:
the value of k is 143 °

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The length of a rectangle is three inches more than the width. the area of the rectangle is 180 inches. find the width of the re

ch4aika [34]

We have a rectangle with length L that is 3 inches more than the width W. Then we can write this as:

$L=W+3$

The area of the rectangle is 180 square inches.

We have to find the width W.

As the area is equal to the product of the length and the width, we can write this equation and solve for W as:

$\begin{gathered} A=180 \\ L\cdot W=180 \\ (W+3)\cdot W=180 \\ W^2+3W=180 \\ W^2+3W-180=0 \end{gathered}$

We have a quadratic equation. The roots of this equation will be the mathematical solutions.

We can find the roots using the quadratic formula:

$\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-180)}}{2\cdot1} \\ W=\frac{-3\pm\sqrt[]{9+720}}{2} \\ W=\frac{-3\pm\sqrt[]{729}}{2} \\ W=\frac{-3\pm27}{2} \\ W_1=\frac{-3-27}{2}=-\frac{30}{2}=-15 \\ W_2=\frac{-3+27}{2}=\frac{24}{2}=12 \end{gathered}$

The solutions are W = -15 and W = 12.

The first one is not valid, as W has to be greater than 0.

Then, the solution to our problem is W = 12 in.

Answer: the width is W = 12 inches.

6 0

1 year ago

85 points, Brainliest, ill report random answers>ban

Leya [2.2K]

all the coordinates of the original triangle have been multiplied by 1/2

A (-4,-6) x 1/2 = -2,-3

B (-8,2) * 1/2 = -4,1

C (-2,4) *1/2 = -1,2

so the scale factor is 1/2

Answer is B

8 0

3 years ago

Read 2 more answers

What’s the correct answer

victus00 [196]

20 mins: it says the answer in the graph

6 0

3 years ago

Read 2 more answers

Help with my math <3

denpristay [2]

4. 1st option
5. 2nd option

8 0

3 years ago

8. Johnny had $20. He went to the store and

Bogdan [553]

Answer:

Step-by-step explanation:

%change=100(final-initial)/(initial)

final=20-12=8 and initial=20 so

%change=100(8-20)/20

%change=100(-12)/20

%change=-1200/20

%change= -60%

7 0

3 years ago