All categories

3 years ago

∠ABC and ∠DEF are supplementary.

1 answer:

8 0

As the angles are supplementary, their sum would be equal to 180
∠ABC + ∠DEF = 180
138 + ∠DEF = 180
∠DEF = 180 - 138
∠DEF = 42

In short, Your Answer would be Option A

Hope this helps!

You might be interested in

An interior angle of a regular polygon has a measure of 108°. What type of polygon is it?

Alexxx [7]

Answer:

a polygon with an interior angle of 108 is a pentagon

5 0

2 years ago

Read 2 more answers

Solve the equation 7b-27=8(6+4b)

Snowcat [4.5K]

Answer:

b = -3

Step-by-step explanation:

7b-27=8(6+4b)

Distribute

7b -27 = 48 + 32b

Subtract 7b from each side

7b-7b-27=48+32b-7b

-27 = 48+25b

Subtract 48 from each side

-27-48 = 48+25b -47

-75 = 25b

Divide each side by 25

-75/-25 =25b/25

-3 =b

3 0

3 years ago

Read 2 more answers

Incline mats, or triangle mats, are offered with different levels of incline to help gymnasts learn basic moves. As the name may

nata0808 [166]

Answer:

The length of the mat is 30 inches.

Step-by-step explanation:

Let H be the hypotenuse of the incline mat, L its length and h its height.

It is given that H = L + 4 and h = L - 14. Now, using Pythagoras' theorem for right-angled triangles, H² = L² + h²

(L + 4)² = L² + (L - 14)²

Expanding, we have

L² + 8L + 16 = L² + L² -28L + 196

collecting all the terms to the right side, we have

L² + L² -28L + 196 - L² - 8L - 16 = 0

L² - 36L + 180 = 0

Using the quadratic formula, L =

L $\frac{-(-36) +/- \sqrt{(-36)^{2} -4X1X180} )}{2X1} = \frac{36 +/- \sqrt{1296 - 720} }{2} \\= \frac{36 +/- \sqrt{576} }{2} \\= \frac{36 +/- 24 )}{2}\\=\frac{36 + 24}{2} or \frac{36 - 24}{2} \\=\frac{60}{2} or \frac{12}{2} \\= 30 or 6$

We use the larger answer L = 30 inches since L = 6 would give h = L -14 = 6 - 14 = -8 .

So, the length of the mat is 30 inches.

3 0

3 years ago

Factorise completely 8p-12pq

Likurg_2 [28]

Answer:

4p(2-3q)

Step-by-step explanation:

Factor out 4 first:

8p-12pq

4(2p-3pq) Next, factor out p like you would any other number.

4p(2-3q)

5 0

4 years ago

Read 2 more answers

Convert the following number to scientific notation. .0101234

mylen [45]

Answer:

1.01234 x 10^-2

Step-by-step explanation:

I think you wanted the number in standard form. I hope this helps.

3 0

3 years ago

∠ABC and​ ∠DEF ​are supplementary.

∠ABC and ∠DEF are supplementary.