MATHEMATICS MIDDLE SCHOOL

What is the measure of arc GH??

Answers

Answer 1

Answer:

Option C:

The measure of arc GH is 45°.

Solution:

Given data:

m∠GFH = 22.5°

To find the measure of arc GH:

By inscribed angle theorem,

The measure of an inscribed angle is equal to the half of the measure of the intercepted arc.

$$m\angle GFH = (1)/(2)* m \ {(arc \ GH)}$

$$ 22.5^\circ= (1)/(2)* m \ {(arc \ GH)}$

Multiply by 2 on both sides, we get

$$ 2* 22.5^\circ= 2* (1)/(2)* m \ {(arc \ GH)}$

$$ 45^\circ= m \ {(arc \ GH)}$

Switch the sides.

m(arc GH) = 45°

The measure of arc GH is 45°.

Option C is the correct answer.

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How to multiply a mixfraction by a whole number

Explain when you know you need to rename a mixed Number to subtract.

Answers

You know that you need to rename a mixed Number to subtract when the numbers involved have different denominators. In such a case, the lowest common multiple (LCM) of the denominators must be calculated and subsequently used to adequately rename the mixed numbers before subtraction can be done.

Use the formula A=1•w , solve the following word problem. You have enough wallpaper to cover 240 square feet. If your walls are 8 feet high, what wall length can you paper?
a.
Wall length of 40 feet
b.
Wall length of 30 feet
c.
Wall length of 3 feet
d.
Wall length of 16 feet

Please select the best answer from the choices provided

A
B
C
D

Answers

b. wall length is 30 feet

What is the solution for this equation 13m-22=9m-6. This is a equation with variables on both sides

Answers

13m-22=9m-6
4m-22=-6
4m=16
m=4

13m-22=9m-6
13m-9m=22-6 <-- integer signs change when it goes to the other side of the equal to sign
4m=16
m=16/4
m=4

I need help with my math! The problem is : 150% of what number is 18

Answers

The answer would be 27 =)

Please help lots of points

Answers

1. (5/8)x=2.50
x=(8*2.50)/5
x=$4 <-- Answer
2. 0.5x+(1/3)x=10
(5/6)x=10
x=$12 <-- Answer
3. (1/3)x+0.25x=1050
(7/12)x=1050
x=$1800 <-- Answer
4. 0.5x+0.25x=18.5
0.75x=18.5
x=24 2/3 gal <-- Answer

Answer:

1. (5/8)x=2.50

x=(8*2.50)/5

x=$4 <-- Answer

2. 0.5x+(1/3)x=10

(5/6)x=10

x=$12 <-- Answer

3. (1/3)x+0.25x=1050

(7/12)x=1050

x=$1800 <-- Answer

4. 0.5x+0.25x=18.5

0.75x=18.5