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Kisachek [45]
2 years ago
14

EMERGENCY PLEASE HELP STRUGGLING! The triangles in each pair are similar.

Mathematics
1 answer:
Ludmilka [50]2 years ago
5 0

Answer: The missing length is 120 {option C}

Step-by-step explanation: What we have in the question is a triangle placed on top of another triangle and as shown in the attached diagram we can separate them into triangles BFC and GFH.

A close observation shows that line BC is parallel to line GH. Hence we have two similar triangles, and we can determine their similarity ratios as follows;

BF/FC = GF/FH

Similarly BF/BC = GF/GH

We can also express the following ratio

FC/FH = BC/GH

Therefore to calculate the missing side, which is GF, we can use the ratio

FC/FH = FB/FG

30/100 = 36/FG

By cross multiplication we now have 30 (FG) = 100 (36)

30FG = 3600

Divide both sides of the equation by 30

FG = 120

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Solve the equation.
Levart [38]

Answer:

x=34

Step-by-step explanation:

6 - ( x-7) ^ 1/3 = 3

Subtract 6 from each side

6-6 - ( x-7) ^ 1/3 = 3-6

- ( x-7) ^ 1/3 = -3

Divide each side by a negative

 ( x-7) ^ 1/3 = 3

Cube each side

 ( x-7) ^ 1/3 ^3 = (3)^3

x-7 = 27

Add 7 to each side

x-7+7 = 27+7

x = 34

Check

6 - ( 34-7) ^ 1/3 = 3

6 - (27^1/3 = 3

6 -3 =3

3=3

Good solution

8 0
3 years ago
Find the next three terms.<br> -32, -16, -8,...
gtnhenbr [62]

Answer:

-4,-2,-1

Step-by-step explanation:

The next term is going to be the previous number divided by two

8 0
2 years ago
Which answer is an equation in point-slope form for the given point and slope?
Butoxors [25]

Answer:

Step-by-step explanation:

Point-slope equation for line of slope m that passes through (x₀,y₀):

y-y₀ = m(x-x₀)

In your case, m=5 and (x₀,y₀)=(1,9):

y-9 = 5(x-1)

5 0
2 years ago
Prove that the value of the expression: 17^5+17^4 is divisible by 18.
Rudik [331]

Answer:

17^5+17^4 = 17^4 * (17^1 + 1) = 17^4 * 18

Step-by-step explanation:

8 0
3 years ago
Could someone help me with this ASAP? thanks !
Maru [420]
<h3>Answer:</h3>

A. 6x^2+-5x+14x+-35

           6x^2+9x-35

B. 5x^4+-3x^3+10x^3+-6x^2

           5x^4+7x^3-6x^2

C. 25x^2+-20x+20x+-16

             25x^2-16

D. x^4+-4x^2+-7x^2+28

           x^4-11x^2+28

====================================

Step-by-step explanation:

A. (3x*2x)+(3x*-5)+(7*2x)+(7*-5)

        Multiply and simplify.

                6x^2+9x-35

B. (x^2*5x^2)+(x^2*-3x)+(2x*5x^2)+(2x*-3x)

         Multiply and simplify.

              5x^4+7x^3-6x^2

C. (5x*5x)+(5x*-4)+(4*5x)+(4*-4)

         Multiply and simplify.

                  25x^2-16

D. (x^2*x^2)+(x^2*-4)+(-7*x^2)+(-7*-4)

         Multiply and simplify.

                x^4-11x^2+28

I hope this helps!

But you should really do this yourself.

3 0
3 years ago
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