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Inessa05 [86]
3 years ago
14

The quadrilateral below is a rectangle. Solve for x and m

Mathematics
1 answer:
ad-work [718]3 years ago
4 0

Answer:

x = 13

∠WZX = 57°

Step-by-step explanation:

Because it is a rectangle, ∠XYZ is 90°

∠XZY + ∠YXZ = 90

(5x - 8) + (x + 20) = 90

simplify:

6x + 12 = 90

subtract 12 from each side

6x = 78

divide both sides by 6

x = 13

∠WZX is complimentary to angle (x + 20)

∠WZX = 90 - (13 + 20) = 57°

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One of the legs of a right triangle measures 8 cm and its hypotenuse measures 14 cm.
Ugo [173]

Answer:

about 11.5 cm.

Step-by-step explanation:

I know the measurement of the other leg is about 11.5 cm. I know because I used the Pythagorean theorem.

a^2+b^2=c^2.

"a" and "b" are the values of the legs of the triangle, while "c" is the measure of the hypotenuse. We know that 8cm is the measure of one of the legs, and 14 cm is a measure of the hypotenuse.

8^2+b^2=14^2 simplified: 64+b^2=196

Then, I subtracted 64 on both sides, so I would have "b" by itself.

b^2=132

Next, I found the square root of both b^2 and 132, so I would find the true value of "b."

b=11.4891252931

So, the measure of the other leg rounded to the nearest tenth is about 11.5.

3 0
2 years ago
What is the n in 4 1/2 = 1 1/2n; n =
jasenka [17]

Answer:

9/11

Step-by-step explanation:

4 1/2= 9/2=11/2n

so n =9/11

so 9/2=11/2*9/11

8 0
2 years ago
HELP ASAP!! What’s the answer to this? (with steps)
Goshia [24]

Answer:

x = 13.5°

Step-by-step explanation:

Angles 2 + 3 = a straight line, so 180°

180 - 66 = 114 = angle 2

114 = 10x - 21

114 + 21 = 10x

135 = 10x

135 / 10 = x

13.5 = x

3 0
3 years ago
Given the function f(x) = 4(x + 3) -5, solve for the inverse function when x=3
daser333 [38]

Answer: Your answer would be -120

Step-by-step explanation: Remove Parentheses (3 + 3) add them together and make it 6 and plug in the 6 into the equation. -4 x 6 x 5. Then, you multiply the numbers together and get -120. There is no inverse for -120 since both sides aren't equal.

I hope this helps you!!

6 0
3 years ago
What does the pH of a solution represent?
lana [24]

Answer:

D. The pH indicates how acidic or basic a solution is.

Step-by-step explanation:

The range goes from 0 to 14, with 7 being neutral.

7 0
2 years ago
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