MATHEMATICS MIDDLE SCHOOL

For ΔABC, the measure in degrees of angles A, B, and C are 60, 55, and x + 20 respectively. What is the value of x?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

All sides of a triangle equel 180 degrees, so 180-60-55=115. 180-115 is 65. 65-20-45. Hope this works!

Answer 2

Answer: Ok x = 45 because 180-60-55-20 = 45

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There are two connected gears. One has 60 teeth and it makes 50 complete revolutions in a minute. How many complete revolutions will the second gear complete, if it has 40 teeth?

Answers

60 teeth = 50 revolutions

40 teeth = x revolutions

To figure this out, you can multiply 60 and 50 together to get 3000, and 40 and x to get 40x.

If you solve this equation, 40x = 3000,

x = 75

Hope this helped!

The Second gear will complete 75 revolutions.

Hope this helps. I tried using my past knowledge.

Kara used the formula P=2(l+w) to find the perimeter of the photograph. She tells Jim that the length is 6 cm, and the perimeter is 22 cm. How can Jim find the width of the photo?

Answers

$Given\n Perimeter (P) = 22cm \n Length (l) = 6cm \n\n We\ know, \n P=2(l+w)\n 22=2(6+w)\n 2(6+w)=22\n\n 6+w = (22)/(2)\n\n w=11-6 \n\n \boxed {w=5cm }$

Find the combined volume of the cube and pyramid.

Answers

Answer:

Step-by-step explanation:

How do I factor y^2-16

Answers

this is a difference of 2 perfect square so if we have
a^2+b^2=(a-b)(a+b)
16=4^2
y^2-4^2=(y-4)(y+4)

What is the measure of ehg?

Answers

Answer:

The measure of EHG = 120°

Step-by-step explanation:

There are three vectors originating from point H and joining three points E, F and G.

The given angles between vector HG and HF is 30° and between vector HE = 90°

Therefore, Angle between vector HE and HG = angle between HE and HF + angle between HF and HG.

∠ EHG = ∠ EHF + ∠ FHG

= 90° + 30°

= 120°

The measure of EHG = 120°

(Answer: 120) angle EHF = 90 degrees+30 degrees=120 angle

A wooden board 100 centimeters long is cut into two pieces. One piece is 16 centimeters longer than the other. What are the lengths of the two pieces?