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3 years ago

Will give brainliest to whoever replies with the correct answer. (Question is in the image)

Mathematics

1 answer:

EastWind [94]3 years ago

5 0

Answer:x = 7

Step-by-step explanation:

Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':

Cross-multiply: 3(x + 1) = 6(x - 3)

Distribute: 3x + 3 = 6x - 18

Combine like terms: 21 = 3x

Solve for 'x': x = 7

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A group of mathematical symbols that express a relationship or that are used to solve a problem

pogonyaev

A group of mathematical symbols that express a relationship or that are used to solve a problem is a FORMULA

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3 years ago

The ratio of the longer side of a rectangle to its shorter side is 4 to 3. If the shorter side of the rectangle is 21ft, what is

Eduardwww [97]

Answer:

28 ft

Step-by-step explanation:

Let longer side of rectangle be $L$ and the shorter side be $S$ , thus we can write the ratio:

$\frac{L}{S}=\frac{4}{3}$

Now putting 21 into S, we solve for L:

$\frac{L}{21}=\frac{4}{3}\\3L=4*21\\3L=84\\L=\frac{84}{3}=28$

Hence, length of longer side is 28 ft.

5 0

3 years ago

Read 2 more answers

Could someone help me understand how to solve this?

monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula $I=P\cdot r\cdot t,$ where

I = interest

P = principal

r = rate (as decimal)

t = time.

4% account:

$P_1=x\\ \\r_1=0.04\\ \\t_1=1,$

then

$I_1=x\cdot 0.04\cdot 1=0.04x$

5% account:

$P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,$

then

$I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)$

You have earned $69.50 in total, so

$I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950$

Amount in 4% account: $550

Amount in 5% account: $950

8 0

3 years ago

41% of what number is 83

AleksAgata [21]

Do a proportion. 41/100= 83/x. Now cross multiply and divide. 83 x 100= 8300 , 8300 divided by 41= 202.439 (I would just round it to nearest tenth). Answer is 202.4

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4 years ago

which of the following is not a true statement angle 1 and angel 5 are corresponding angles angle 2 and angle 8 are alternate in

stiv31 [10]

Answer:

answer: B: Angle 2 and angle 8 are alternative interior angles

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3 years ago