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son4ous [18]
3 years ago
7

What is the value of x? Enter your answer in the box. Ft Triangle V T K with segment T Y such that Y is on segment V K, between

V and K. Angle V T Y is congruent to angle Y T K. V T equals 77 feet, V Y equals 22 feet, V K equals x, and T K equals 87.5 feet.

Mathematics
2 answers:
Yanka [14]3 years ago
6 0

Answer:

x=47 feet

Step-by-step explanation:

Since angle VTY is congruent to angle VTK, segment TY bisects angle VTK. Since Y is on segment VK, between V and K, we can use the Angle Bisector Theorem, which states that:

\frac{VY}{YK}=\frac{VT}{TK}

\frac{22}{YK}=\frac{77}{87.5}

YK=\frac{22{\times}87.5}{77}

YK=25 feet

Now, X=VY+YK

Substituting the values, we get

X=22+25

X=47 feet

andriy [413]3 years ago
3 0

Answer:

47 ft

Step-by-step explanation:

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Answer:

n = the first

n + 1 = the 2nd

n + 2 = the 3rd

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n2 + 2n - n - 1 = 10n + 20 + 1

n2 - 9n - 22 = 0

(n - 11)(n + 2) = 0

If two factors = 0, at least one must = 0.

n - 11 = 0

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11,12,13

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7 0
3 years ago
PLEASE ANSWER ASAP! MUST BE CORRECT! MORE POINTS GIVEN!!!
Tasya [4]
These are the two rules for when a and b are positive numbers.
a + b = b + a
a - b ≠ b -a
a - b = -b + a

For example:

5.71 + 2.84 = 2.84 + 5.71
8.55 = 8.55

5.71 - 2.84 ≠ 2.84 - 5.71
2.87 ≠ -2.87

5.71 - 2.84 = -2.84 + 5.71
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These are the rules for when a and b are negative numbers.
a + b = b + a
a - b = b + a

For example,

-6.2 + (-3.96) = -3.96 + (-6.2)
-6.2 - 3.96 = -3.96 - 6.2
-10.16 = -10.16

-6.2 - (3.96) = -3.96 + (-6.2)
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Also, if a is a positive number, while b is a negative number, we see these rules:
a + b = a - b
a - b = a + b

For example,

5.71 + (-6.2) = 5.71 - 6.2
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5.71 - (-6.2) = 5.71 + 6.2
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Also, if a is a negative number while b is a positive number, then these rules will apply:
a + b = b - a
a - b = -b - a

For example,

-3.96 + 2.84 = 2.84 - 3.96
-1.12 = <span>-1.12
</span>
-3.96 - 2.84 = -2.84 - 3.96
-6.8 = -6.8


I hope this helps! :)
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