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REY [17]
2 years ago
11

What is the value of x? Enter your answer in the box.

Mathematics
1 answer:
uysha [10]2 years ago
6 0

From the picture you can see that TY bisects angle T.

Use the bisector property:

\dfrac{TK}{KY} =\dfrac{TV}{VY}.

If YK=68 mm and VK=x mm, then VY=x-68 mm.

Then \dfrac{129.2}{68} =\dfrac{57}{x-68}.

Express x-68:

x-68=\dfrac{57\cdot 68}{129.2}=30 mm.

Therefore, x=30+68=98 mm.

Answer: x=98 mm.

You might be interested in
According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population increa
qwelly [4]
Canton: 7,720 and increases at a rate of 80 people per year.
Holly Spring: 3,200 and increases at rate of 120 people per year.

Let x be the number of years.

Canton = 7,720 + 80x
Holly Spring = 3,200 + 120x

7,720 + 80x = 3,200 + 120x
80x - 120x = 3,200 - 7720
-40x = -4520
x = -4520 / -40
x = 113

It would take 113 years before the populations are equal.

7,720 + 80x = 3,200 + 120x
7,720 + 80(113) = 3,200 + 120(113)
7,720 + 9,040 = 3,200 + 13,560
16,760 = 16,760
5 0
3 years ago
Read 2 more answers
Please help thank you
daser333 [38]

Answer:

21

Step-by-step explanation:

Add 34 to both sides.

14x = 11x + 63

Subtract 11x from both sides

3x = 63

Divide both sides by 3

21

Hope I helped :)

Please consider Brainliest :)

6 0
3 years ago
I need help with this! Which one is it?
bija089 [108]

Answer:

82 degrees

let the point where the lines cross be E

ABD angle is 108 / 2 = 54 degrees

CAB angle is 56 / 2 = 28 degrees

the missing angle in ABE triangle is 180-54-28=98 degrees. angle x is 180 - 98 = 82

6 0
2 years ago
Read 2 more answers
A triangle has sides with lengths of 5 millimeters, 8 millimeters, and 10 millimeters. Is it a right triangle?
Crank

Answer:

It is not.

Step-by-step explanation:

Using the Pythagorean Theorem, a squared + b squared = c squared, we get 25 + 64 = 100, and this is not true.

4 0
2 years ago
Round 3.45 to the nearest whole number
denis23 [38]
3.45 rounded to the nearest whole number would be 3 because 5 or more let it soar 4 or less let it rest
3 0
3 years ago
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