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denis-greek [22]
2 years ago
7

Need some help it'd be appreciated ​

Mathematics
1 answer:
Natalka [10]2 years ago
8 0

Answer:

C

Step-by-step explanation:

The parallel postulate is one of Euclid main axioms. Since it was accepted as self evident.

A is wrong, any two points can be drawn a straight line through. And straight lines exist in plane geometry.

B and D is wrong, the angle measures of a triangle must add up to 180 degrees in plane geometry.

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The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h
Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

(2 × 14) + 20 = 48 inches

7 0
3 years ago
a computer store bought a program at a cost of $20 and sold it at a selling price$26. what is the percent markup
tekilochka [14]

it would be a 6 percent mark up :)

8 0
3 years ago
"If &lt; A and then m&lt; A + m/B = 90°"<br> A. Complement Theorem<br> B. Definition of a Right Angle<br> C. Congruent Complemen
9966 [12]

If < A and then m< A + m/B = 90°, then D. Definition of Complementary Angles

<h3>What is a complementary angle?</h3>

When the sum of two angles is 90°, the angles are said to be complementary. In other words, if two angles add up to form a right angle, they are called complementary angles. The two angles are said to complement each other in this context.

Supplementary angles are two angles that add up to 180 degrees, whereas complementary angles are two angles that add up to 90 degrees.

An angle measuring 72 degrees has a complement of 18 degrees.

Therefore, based on the information given, the correct option is D.

Learn more about complementary angles on:

brainly.com/question/16281260

#SPJ1

8 0
1 year ago
If 4/5 of a population of a certain town is considered to be middle class and the population of the town is 2000 how many people
const2013 [10]
First, you would need to create an equation for this problem.
\frac{4}{5} = \frac{x}{2,000}

Next, you would cross multiply. 
5x = 8,000

Now, all you would have to do is isolate the x. To do this, you would divide both sides by 5. 
x = <span>1,600

1,600 people are considered middle class. 

I hope this helps!</span>
8 0
2 years ago
Find the length of the unknown side of the right triangle with sides a, b, and c, where c is the hypotenuse. Give an exact answe
notsponge [240]

Answer:

16.97

Step-by-step explanation:

Therefore b= 16.97

8 0
2 years ago
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