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3 years ago

Solve for x. x = ___

Mathematics

1 answer:

const2013 [10]3 years ago

3 0

Answer:

x = 2

Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.

A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

$\frac{little}{big} =\frac{little}{big}$ .

$\frac{36}{36 + 12}=\frac{24}{24 + 6x - 4}$

To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$36(24 + 6x - 4)=(36+12)(24)\\36(6x + 20)=48(24)\\216x + 720 = 1152 \\216x = 432\\\frac{216x}{216}=\frac{432}{216} \\x = 2$

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Given the system of equations: 2x – y = –2 x = 14 2y

SSSSS [86.1K]

If you would like to solve the system of equations, you can do this using the following steps:

2x - y = -2
x = 14 + 2y
__________
2x - y = -2
2 * (14 + 2y) - y = -2
28 + 4y - y = -2
28 + 3y = -2
3y = -2 - 28
3y = -30 /3
y = -30/3
y = -10

x = 14 + 2y = 14 + 2 * (-10) = 14 - 20 = -6

(x, y) = (-6, -10)

The correct result would be (-6, -10).

5 0

3 years ago

A department store has a discount box of cell phone cases. In the box are 10 leather cases, 12 protective plastic cases, and 6 f

Kisachek [45]

28 cell phone cases in all.
6 of the 28 cases are fabric.

6/28 simplified to 3/14

So the answer to your question would be 3/14

Hope this helps! :)

7 0

3 years ago

Read 2 more answers

10.The function f(x) is shown below:

Tom [10]

A. -f(1)=1,f(2)=2,f(n)=2f(n-1)f(n-2);n>2

7 0

3 years ago

The International Business Club starts the school year with $250.50 in their account. They spend $35 each month on activities. T

svlad2 [7]

Answer:

250.50 - 35m = 300 - 45.25m

Step-by-step explanation:

Whenever an equation asks for when it will take x (or m in this case) amount of things or time you should know that there will be 2 different equations that have to equal each other

The equation will be 250.50 - 35m = 300 - 45.25m

The 35m is being subtracted from 250.50 because they are losing money each time they spend. This also applies to 45.25m

Also 35m and 45.25m are variables because it says they spend that much money each month. They don't specify how many months, so we have to put a variable after it.

7 0

3 years ago

Answer question 8,9 and 10 with full details.

Lelechka [254]

Answer:

See Explanation

Step-by-step explanation:

8. (1)

Area of trapezoid = 1/2(sum of || sides) *perpendicular distance

36 =1/2(x+ y) * 6

36 = ((x + y)*3

36/3 = x + y

12 = x + y

x + y = 12.... (1)

8(2)

It is given that:

x = 2y....(2)

From equations (1) & (2)

2y + y = 12

3y = 12

y = 12/3

y = 4

From equation (2)

x = 2y = 2*4

x = 8

Area of square = 1 square m

Side of square = 1 m

Area of circle = 1 square m

$\pi {r}^{2} = 1 \\ {r}^{2} = \frac{1}{\pi} \\ r = \frac{1}{ \sqrt{\pi} } \\ c = 2\pi \: r \\ c = 2\pi \times \frac{1}{ \sqrt{\pi} } \\ c = 2 \sqrt{\pi} \\ c = 2 \sqrt{3.14} \\ c = 2 \times 1.77200451 \\ c = 3.54400902 \\ c = 3.544 \\ difference = 3.544 - 1 = 2.544 \\difference \approx \: 2.54$

4 0

3 years ago