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Kisachek [45]
3 years ago
14

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

Mathematics
1 answer:
Ludmilka [50]3 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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Answer:

x\hookrightarrow -1\hookrightarrow 0\hookrightarrow 1\hookrightarrow 2\hookrightarrow 3\hookrightarrow 4\hookrightarrow 5

y\hookrightarrow 5\hookrightarrow 0\hookrightarrow -3\hookrightarrow -4\hookrightarrow -3\hookrightarrow 0\hookrightarrow 5

The curve (B) matches the graph of y=x²-4x.

----------\\Hope \ it\;helps

4 0
3 years ago
The axis of symmetry for the function f(x)=-2x^2+4x+1 is the line x=1 where it's the vertex of the function located
vodomira [7]
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8 0
3 years ago
Read 2 more answers
The pressure applied to a leverage bar varies inversely as the distance from the object. If 150 pounds is required for a distanc
AlexFokin [52]

Answer:

500 pounds

Step-by-step explanation:

Let the pressure applied to the leverage bar be represented by p

Let the distance from the object be represented by d.

The pressure applied to a leverage bar varies inversely as the distance from the object.

Written mathematically, we have:

p \propto \dfrac{1}{d}

Introducing the constant of proportionality

p = \dfrac{k}{d}

If 150 pounds is required for a distance of 10 inches from the object

  • p=150 pounds
  • d=10 inches

150 = \dfrac{k}{10}\\\\k=1500

Therefore, the relationship between p and d is:

p = \dfrac{1500}{d}

When d=3 Inches

p = \dfrac{1500}{3}\\\implies p=500$ pounds

The pressure applied when the distance is 3 inches is 500 pounds.

4 0
3 years ago
Help me! pleaseeeeeeeeee i would really appreciate it
Aloiza [94]
I did this before and the answer is b
8 0
3 years ago
Help me please I need help :((((((
serg [7]
Flour: 2 3/4 cups = 11/4

11/4 * 2 = 22/4 = 5 2/4 cups

Sugar: 1 1/2 cups = 3/2

3/2 = 6/4 = 1 2/4 cups

1 2/4 * 2 = 3 cups

So it *should* be 8 1/2 cups.


3 0
3 years ago
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