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Charra [1.4K]
3 years ago
14

Solve for x, the triangles are similar

Mathematics
1 answer:
elixir [45]3 years ago
5 0

Answer:

x = 12

Step-by-step explanation:

Δ ESR and Δ EGF are similar, then ratios of corresponding sides are equal, so

\frac{ES}{EG} = \frac{ER}{EF} , substitute values

\frac{45}{12x-3} = \frac{55}{143} ( cross- multiply )

55(12x - 3) = 6435 ( divide both sides by 55 )

12x - 3 = 117 ( add 3 to both sides )

12x = 120 ( divide both sides by 12 )

x = 10

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HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!
mamaluj [8]

Answer:

☆ Emily has $16 more

Step-by-step explanation:

<u>FOR JAXON:</u>

You want to calculate the interest on $600 at 2.5% interest per year after 3 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $600.00.

r is the interest rate, 2.5% per year, or in decimal form, 2.5/100=0.025.

t is the time involved, 3....year(s) time periods.

So, t is 3....year time periods.

To find the simple interest, we multiply 600 × 0.025 × 3 to get that:

The interest is: $45.00

Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),

or 600.00 + 45.00 = 645.00.

Jaxon will have $645 after he closes his account.

<u>FOR EMILY</u>

You want to calculate the interest on $600 at 5.1% interest per year after 2 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $600.00.

r is the interest rate, 5.1% per year, or in decimal form, 5.1/100=0.051.

t is the time involved, 2....year(s) time periods.

So, t is 2....year time periods.

To find the simple interest, we multiply 600 × 0.051 × 2 to get that:

The interest is: $61.20

Usually now, the interest is added onto the principal to figure some new amount after 2 year(s),

or 600.00 + 61.20 = 661.20.

Emily will have $661 when she closes her account.

<u>☆ Therefore, Emily will have $16 more than Jaxon.</u>

<u></u>

I would really appreciate if you would mark me brainliest!!

I hope you have a good day!!! ☆ :D

8 0
2 years ago
What is the algebraic expression for the difference between nine times a number and four more than six times the number?
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Answer:

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Step-by-step explanation:

n is number

7 0
3 years ago
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RUDIKE [14]
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6 0
2 years ago
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Answer:

triangle A= 1/2bh

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Triangle Area plus semi circle Area = 126+127.17= 253.17

4 0
2 years ago
When 8 is subtracted from Ollie’s age, the result is the same as subtracting 16 from 3 times his age.
Scilla [17]
X - Ollie's age

8 is subtracted from Ollie's age = x-8
the result is the same as
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Ollie is 4 years old.
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2 years ago
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