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tamaranim1 [39]
3 years ago
10

Could someone help me please?

Mathematics
1 answer:
fenix001 [56]3 years ago
5 0

Answer:

a. 7.2

b. 6

Step-by-step explanation:

Since the side lengths of similar polygons are proportional to each other, therefore:

\frac{b}{10} = \frac{9}{15} = \frac{a}{12}

Thus, let's find b using:

\frac{b}{10} = \frac{9}{15}

Cross multiply

b*15 = 10*9

15b = 90

Divide both sides by 15

b = 6

Let's find a using:

\frac{9}{15} = \frac{a}{12}

Cross multiply

9*12 = 15*a

108 = 15a

Divide both sides by 15

a = 7.2

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Solve for x. -0.65 + 0.45x = 5.4
FinnZ [79.3K]

Answer:

x = 13.444 ... (repeating decimal) or;

x = 13 4/9

Step-by-step explanation:

-0.65 + 0.45x = 5.4

First we will add 0.65 to each 'side' of the equation.

0.65 + (-0.65) + 0.45x = 0.65 + 5.4

        0.65 + (-0.65) = 0

        0.65 + 5.4 = 6.05

Input the numbers, and now the equation looks like this:

0 + 0.45x = 6.05

Remove the zero:

0.45x = 6.05

Divide each 'side' by 0.45.

0.45x ÷ 0.45 = 6.05 ÷ 0.45

        0.45x ÷ 0.45 = 1x = x

        6.05 ÷ 0.45 = 13.444 ... repeating decimal

Input the numbers, and now the equation looks like this:

x = 13.444 ... repeating decimal

We can also write this as:

x = 13 4/9 in fraction form

3 0
3 years ago
What is the area of the trapezoid if the bottom base is 4x-5 and the top is 6x+3 with both sides being -5x+10?
Salsk061 [2.6K]

Step-by-step explanation:

Area=(a+b)/2 x h

a=6x+3

b=4x-5

h=-5x+10

Area= -25x^2+55x-10

6 0
3 years ago
The price of a burger went from $6.00 to $8.00. What is the percent of change? This is increase and decrease
Lubov Fominskaja [6]
The cost of the burger went up 2%/ and you can also subtract 6 from8 and get the answer. Thank you have a nice day
7 0
3 years ago
Please help me! I will make you as the best answer
Alexandra [31]

Answer:

40

Step-by-step explanation:

The area of a rectangle is length*width. So, 200=8(1/2x+5). Dividing by 8, 25=1/2x+5. Subtracting 5, 20=1/2x, multiplying by 2, 40=x.

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3 years ago
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