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3 years ago

Solve the system of equations. Show ALL your work. Write your answer as an ordered pair, in this form: (x, y)

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

8 0

I hope it helps, if you have anymore math questions message me

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I’ll give you all stars

Lesechka [4]

Answer:

∠ HCF = 108°

Step-by-step explanation:

∠ ABG and ∠ HCF are alternate exterior angles and are congruent, thus

12x = 11x + 9 ( subtract 11x from both sides )

x = 9

Thus

∠ HCF = 11x + 9 = 11(9) + 9 = 99 + 9 = 108°

4 0

3 years ago

A new car's original price is $13,999. If it's on sale for 10% off, what's the new price?

Bad White [126]

Answer:

12,599.1

Step-by-step explanation:

13,999 * 0.9 = 12,599.1

8 0

3 years ago

Read 2 more answers

What is 6 divided by 258?

Andreas93 [3]

258 / 6 = 43

Hope this helps!

7 0

3 years ago

Read 2 more answers

Annie wants to make several plates of apples and apricots, so that each plate has the same number of apples and the same number

Roman55 [17]

6 , 9 , 69 to the decimal reception apricot

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3 years ago

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