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GREYUIT [131]
3 years ago
15

I need to find the measurements of the angles 1,2,3,and 4

Mathematics
1 answer:
Sonja [21]3 years ago
4 0
1)40 2) 75 3)105 4)140
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Helpppppppppppppp !!!
Artemon [7]

Answer:

a) 8

b) 2 1/4 hours

c) 4 7/8 hours

d) 4 1/8 hours

Step-by-step explanation:

a) LCD to be used to solve this problem is calculated as the Lowest common denominator of the above mixed fractions.

We have 1 1/2 hours and 1 1/8 hours

The lowest common denominator is the denominator calculated by

Multiplying the two denominators together and dividing by the common factor of the two denominators

Hence , we have

2 × 8 = 16

The common factor of 2 and 8 = 2

LCD = 16/2 = 8

b) How long did Matt drive?

We are told that Matt drove twice as long as John

John drove for 1 1/8 hours

Hence, the number of hours that Matt drove for =2 × 1 1/8

= 2 × 9/8 = 9/4 hours = 2 1/4 hours

c) How long the Sam, John and Matt drive ?

We are told in the question that

Sam drove for 1 1/2 hours

John drove for 1 1/8 hours

Matt drove for 2 1/4 hours

We would sum up the number of hours that each of them drove.

1 1/2 + 1 1/8 + 2 1/4

The Lowest common multiple of denominators is 8

= (1 + 1 + 2)( 4 + 1 +2/8)

= 4(7/8)

= 4 7/8 hours

d) How many hours is left for Bob to drive

We are told that the entire journey = 9 hours

The number of hours Sam, John and Matt drove for has been calculated in question c as 4 7/8 hours

The number of hours Bob will drive for is calculated as

9 hours - 4 7/8 hours

= 4 1/8 hours

6 0
2 years ago
Solve the two-step equation.<br><br> 14 = 31.7 – 3x<br><br> What is the solution?
shtirl [24]

Answer:

The answer is 5.9

Step-by-step explanation:

1) Subtract 31.7 from both sides.

14 - 31.7 =  - 3x

2) Simplify 14 - 31.7 to -17.7

- 17.7 =  - 3x

3) Divide both sides by -3.

\frac{ - 17.7}{ - 3}  = x

4) Simplify -17.7/-3 to 5.9

5.9 = x

5) Switch sides.

x = 5.9

Therefor, the answer is x = 5.9.

3 0
2 years ago
Rewrite quadratic equation<br> -×^2+2x-10
Lostsunrise [7]
It has no solution because it is not factorable 
6 0
3 years ago
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What are the solutions of 3(x - 4)(2x - 3) = 0? Check all that apply.
11111nata11111 [884]

Answer:

4 and 3/2

Step-by-step explanation:

x = 4

2x = 3 \\ x =  \frac{3}{2}

3 0
3 years ago
How do you solve this equation? 5y+9=2x
Art [367]
Are we solving for x or y?

4 0
3 years ago
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