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Gwar [14]
3 years ago
14

Write and solve an equation to find the value of x and the missing angle measures​

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
6 0

Answer:

x=-5

x+85 = 80 degrees

x+105= 100 degrees

Step-by-step explanation:

(x+85)+(x+105)=180 since it is a straight line

2x+190=180

2x=-10

x=-5

so x+85 = 80 degrees

x+105= 100 degrees

meriva3 years ago
5 0

Answer:

x+85  + x+105 = 180

x = -5

x+85 = -5+85 = 80

x+105 = -5+105 = 100

Step-by-step explanation:

The two angles form a straight line so they add to 180

x+85  + x+105 = 180

Combine like terms

2x + 190 = 180

Subtract 190 from each side

2x+190-190 = 180-190

2x = -10

Divide by 2

2x/2 = -10/2

x = -5

x+85 = -5+85 = 80

x+105 = -5+105 = 100

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On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole. On his second stroke, the ball traveled 79 met
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Answer:

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Step-by-step explanation:

Given:

On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole.

On his second stroke, the ball traveled 79 meters and went into the hole.

<u>Question asked:</u>

How many kilometres from the hole was Martin when he started?

<u>Solution:</u>

Let distance from Martin starting point to the hole in meters = x

On Martin's first stroke, ball traveled = \frac{4}{5} \ of \ total \ distance\ to\ the\ hole

                                                             =\frac{4}{5} \times x=\frac{4x}{5}

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Total distance from starting point to the hole = Ball traveled from first stroke + Ball traveled from second stroke

x=\frac{4x}{5} +79\\ \\ Subtracting\ both\ sides\ by \ \frac{4x}{5}\\ \\ x- \frac{4x}{5}= \frac{4x}{5}- \frac{4x}{5}+79\\ \\ \frac{5x-4x}{5} =79\\ \\ By \ cross\ multiplication\\ \\ x=79\times5\\ \\ x=395\ meters

Now, convert it into kilometre:

1000 meter = 1 km

1 meter = \frac{1}{1000}

395 meters = \frac{1}{1000}\times395=0.395\ kilometre

Thus, there are 0.395 kilometre distance from Martin starting point to the hole.

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