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Mariulka [41]
3 years ago
6

What is the length of the hypotenuse?

Mathematics
2 answers:
Sidana [21]3 years ago
6 0

Answer:

c = 13 millimeters

Step-by-step explanation:

c^2 = a^2 + b^2 Pythagoras Theorem

c^2 = 12^2 + 5^2

c^2 = 144 + 25

c^2 = 169

c = √169

c = 13

Hope this helped!

serg [7]3 years ago
3 0

Answer:

c = 13 mm

Step-by-step explanation:

I used the Pythagorean theorem

Formula - a^2 + b^2 = c^2

(5)^2 + (12)^2 = c^2

25 + 144 = c^2

169 = c^2

c = 13

Hope this helps :)

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Can someone please help me and explain if you can
nadezda [96]

Answer:

∠6=116°

Step-by-step explanation:

Buckle up :)

  • We are given the values of ∠4 (-2x+94) and ∠8 (-5x+139).
  • Vertical angles are congruent. Angle 4 and angle 1 are vertical angles, so angle 1 is also -2x+94.
  • ∠1 and ∠8 are alternate exterior angles. The transversal is the line that crosses over the parallel lines. When two angles are on opposite sides of the transversal, they are alternate angles. When the two angles are on the outside of the parallel lines, they are exterior angles. This makes them alternate-exterior angles.
  • Alternate exterior angles are congruent. This means that ∠1≅∠8. Write an equation in order to solve for x:

-2x+94=-5x+139

Solve for x. Subtract 94 from both sides:

-2x+94-94=-5x+139-94\\\\-2x=-5x+45

Add 5x to both sides:

-2x+5x=-5x+5x+45\\\\3x=45

Divide both sides by 3:

\frac{3x}{3} =\frac{45}{3} \\\\x=15

Insert the value of x into angle 4 because they are same-side interior angles. This is because they are on the same side of the transversal and within the parallel lines. Same-side interior angles are supplementary, so their value will add up to 180°. Therefore, in order to find angle 6, we need to first find the true value of angle 4:

x=15\\\\-2(15)+94\\\\-30+94\\\\64

∠4 is 64°. Use ∠a+∠b=180 to find angle 6:

a+64=180

a represents angle 6. Subtract 64 from both sides:

a+64-64=180-64\\\\a=116

Angle 6 has a measure of 116°.

:Done

4 0
3 years ago
Which of the following terms correctly describe the object below?<br> Check all that apply.
nadya68 [22]

Answer:

Pyramid

Step-by-step explanation:

Because a pyramid has a polygon as its base

3 0
3 years ago
Consider these three numbers expressed in scientific notation: 8.2 × 10-3, 5.2 × 10-6, and 4.1 × 10-6. Which number is the great
Vedmedyk [2.9K]
1) 8.2 times 7
2)5.2 times 4
3)4.1 times 4
1) 57.4
2)20.8
3)16.4
Greatest:57.4
Least:16.4
Answer:57.4-16.4=41
6 0
3 years ago
At the movies, you order 3 boxes of popcorn and a bottle of water. The cost of the bottle of water is $1.75. Your total cost is
anastassius [24]
X=cost of one box of popcorn.
we can suggest this equation:

3x+1.75=9.25

3x=9.25-1.75
3x=7.5
x=7.5/3
x=2.5

Answer: the equation to find the cost of one box of popcorn is 3x+1.75=9.25, and the cost of one box of popcorn is $2.5. 
8 0
3 years ago
Read 2 more answers
Given f(x)=1/4(5-x)2 what is the value of f(11)
iren [92.7K]

Answer:

f(x)=1/4(5-x)²

Step-by-step explanation:

f(11)=1/4(5-11)²

1/4(-6)²

1/4(36)

=9

7 0
3 years ago
Read 2 more answers
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