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Dovator [93]
3 years ago
15

What is the value of x? 55 A 105° A. 500 B. 160° C. 20° D. 550

Mathematics
2 answers:
motikmotik3 years ago
4 0

Answer:

A

Step-by-step explanation:

180-105=75

180=75+55+x

x=50

Ludmilka [50]3 years ago
3 0
The answer is A 180-150=75
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Find the measure of angle x in the figure below:
Sav [38]

Answer:

70 degrees

Step-by-step explanation:

The angle opposite x and x itself are vertical angles, meaning that they have the same angle measure. Since the sum of the interior angles of a triangle is 180 degrees:

x+55+55=180

x+110=180

x=180-110=70

Hope this helps!

6 0
3 years ago
In a 10 mile race, Janet covered the first 2 miles at a constant rate. She then sped up and rode her bike the last 8 miles at a
xenn [34]

Answer:

0.83\text{ miles per minute}

Step-by-step explanation:

GIVEN: In a 10 mile race, Janet covered the first 2 miles at a constant rate. She then speed up and rode her bike the last 8 miles at a rate that was 0.5 miles per minute faster. Janet's overall time would have been 2 minutes faster had she ridden her bike the whole race at the faster pace.

TO FIND: What was Janet's average speed (in miles per minute) for the whole race?

SOLUTION:

let the speed of Janet in first 2\text{ miles}  =x\text{ miles per minute}

speed of Janet's bike in last 8\text{ miles}  =x\text{+0.5 miles per minute}

total time taken by Janet,

\text{Time}=\frac{\text{distance}}{\text{speed}}

\text{Time taken}=\frac{2}{x}+\frac{8}{x+0.5}\text{minute}

Time taken if Janet rides whole race at faster pace =\frac{10}{x+0.5}\text{minute}

 

As, Janet's overall time would have been 2\text{ minutes} faster had she ridden her bike the whole race at the faster pace.

\frac{2}{x}+\frac{8}{x+0.5}=\frac{10}{x+0.5}+2

\frac{2}{x}-\frac{2}{x+0.5}=2

\frac{1}{x}-\frac{1}{x+0.5}=1

x^{2} +0.5x-1=0

on solving we get

x=0.5\text{ miles per minute}

\text{Time taken}=\frac{2}{x}+\frac{8}{x+0.5}\text{minute}

\text{Time taken}=\frac{2}{0.5}+\frac{8}{1}\text{minute}

\text{Time taken}=\frac{2}{x}+\frac{8}{x+0.5}\text{minute}

\text{Time taken}=12\text{minute}

Average speed =\frac{\text{total distance}}{\text{time taken}}

Average speed =\frac{10}{12}=0.83\text{miles per minute}

Therefore average speed of Janet was 0.83\text{ miles per minute}

4 0
3 years ago
william won 50 tickets at the arcade. he redeemed 30 tickets for a prize and gave 5 tickets to ketelyn. which expression can wil
mariarad [96]
Hello!

If William originally won 50 tickets, redeemed 30, and gave 5 to his friend, the expression that represents how many tickets he has left is:

50-30-5

If you are looking for how many tickets William has left, you simply need to solve the expression:
50-30-5 = 15

I hope this helps you! Have a great day!
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