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ZanzabumX [31]
2 years ago
7

Triangle R Q S is cut by line segment T V. Line segment T V goes from side Q R to side R S. The length of R V is x + 10, the len

gth of V S is x, the length of R T is x + 4, and the length of T Q is x minus 3.
Which value of x would make Line segment T V is parallel to Line segment Q S?



3


8


10


11

Mathematics
2 answers:
irina1246 [14]2 years ago
7 0

Answer:

C.

Step-by-step explanation:

Lovely.

Alexxx [7]2 years ago
6 0

Answer:

Option C.

Step-by-step explanation:

Given information: TV║QS, RV=x+10, VS=x, RT=x+4 and TQ=x-3.

Triangle Proportionality Theorem: This theorem states that if a line segment is parallel to the base of a triangle and it intersects the other two sides, then it divides those sides proportionally.

Using the Triangle Proportionality Theorem, we get

\dfrac{RT}{TQ}=\dfrac{RV}{VS}

Substitute the given values in the above equation.

\dfrac{x+4}{x-3}=\dfrac{x+10}{x}

On cross multiplication we get

x(x+4)=(x+10)(x-3)

x^2+4x=x^2-3x+10x-30

x^2+4x=x^2+7x-30

Subtract x² from both sides.

x^2+4x-x^2=x^2+7x-30-x^2

4x=7x-30

Subtract 7x from both sides.

4x-7x=7x-30-7x

-3x=-30

Divide both sides by -3.

x=\frac{-30}{-3}

x=10

The value of x is 10. Therefore, the correct option is C.

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Please help me with 9 I really need it
MissTica

Answer:

605 boys

Step-by-step explanation:

If the ratio of boys to girls is 5:7

and there are 847 girls

we can plug this value into the ratio by doing something like:

5:7

= 5/7

= x/847

Because the ratio has to be the same, we can substitute x for the number of boys and solve by the cross method or whatever you guys call it.

5            x

---   x    ------

7          847

The x in the middle is just to show the direction you are multiplying.

the 5 is multiplied by the 847 and the 7 is multiplied by x.

847 * 5 = 4,235

4,235  divided by 7 is 605

605 is your answer.

The cross method can be used in most situations.

* is used to represent multiplication btw

4 0
2 years ago
Two numbers are between 20 and 30. their greatest common factor is 4.Which two numbers could they be?
Andrew [12]
24 and 28
These are the only two numbers (other than 20 itself) that have a factor of 4. And if you were to find all of their common factors, 4 would be the greatest!

7 0
3 years ago
13x-6y=22 x=y+6 find x and y
Vesna [10]
13x - 6y = 22
x - y = 6
6(x-y) = 6*6
6x - 6y = 36
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x = -2
13*-2 -6y=22
-26 -6y=22
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answer: x = -2
y = -8
8 0
2 years ago
Is 4 kilograms is egual to 4000mgs
Zigmanuir [339]
No.
So, there are 1000 milligrams in one gram, making the 4000 mgs equal to 4 grams.
There are 1000 grams in one kilogram, so 4 kilograms is equal to 4000 grams.

4000 =/= 4
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7 0
3 years ago
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N76 [4]

Answer:

c.

Step-by-step explanation:

4 0
3 years ago
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