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Mkey [24]
4 years ago
12

Can someone help me with this question? will give thanks!

Mathematics
1 answer:
marin [14]4 years ago
3 0

Answer:

B. 63

Step-by-step explanation:

There are two similar triangles given in the diagram above. Since they area similar, they also have corresponding side lengths that are proportional.

Therefore:

(6 + 3)/3 = x/21

9/3 = x/21

3 = x/21

Cross multiply

21*3 = x

63 = x

x = 63

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I need answer on this graphing va substitution.Problem 7 I tried to solve it but not sure that’s correct
Bond [772]

Given the system of equations:

\begin{gathered} 2x+9y=27 \\ x-3y=-24 \end{gathered}

To solve it by substitution, follow the steps below.

Step 1: Solve one linear equation for x in terms of y.

Let's choose the second equation. To solve it for x, add 3y to each side of the equations.

\begin{gathered} x-3y=-24 \\ x-3y+3y=-24+3y \\ x=-24+3y \end{gathered}

Step 2: Substitute the expression found for x in the first equation.

\begin{gathered} 2x+9y=27 \\ 2\cdot(-24+3y)+9y=27 \\ -48+6y+9y=27 \\ -48+15y=27 \end{gathered}

Step 3: Isolate y in the equation found in step 2.

To do it, first, add 48 to both sides.

\begin{gathered} -48+15y=27 \\ -48+15y+48=27+48 \\ 15y=75 \end{gathered}

Then, divide both sides by 15.

\begin{gathered} \frac{15y}{15}=\frac{75}{15} \\ y=5 \end{gathered}

Step 4: Substitute y by 5 in the relation found in step 1 to find x.

\begin{gathered} x=-24+3y \\ x=-24+3\cdot5 \\ x=-24+15 \\ x=-9 \end{gathered}

Answer:

x = -9

y = 5

or (-9, 5)

Also, you can graph the lines by choosing two points from each equation, according to the picture below.

7 0
1 year ago
One pizza was cut into 12 pieces. Eddie ate 1/12 and Melanie ate 1/12. Mom ate 1/6 and dad ate 1/4. Albert ate 1/6 of the pizza.
Akimi4 [234]

Answer:

I thinks it's A

Step-by-step explanation:

1) 12:6×1=2

2) 12:4×1=3

3) 1+1+2+3+2=9

4) 12-9=3

5 0
3 years ago
Read 2 more answers
Six less than the quotient of a number and 7 is 8.<br><br><br><br> Help
elena55 [62]

Answer:

X ÷ 7 - 6 = 8

Is your expression.

8 0
4 years ago
Read 2 more answers
I don’t know how to solve this
Colt1911 [192]

Answer:

x=0, -3/4

Step-by-step explanation:

We can solve by factoring. We will factor by GCF the greatest common factor. 8x^2 and 6x share several factors in common:

  • they both share an x
  • they both share 2

I pull out 2x and I get 2x(4x+3)=0. I now set each factor equal to 0 and solve for x.

2x=0

x=0


4x+3=0

4x=-3

x=-3/4

3 0
3 years ago
In 1995, the total box office in U.S movie theaters was about $5.02 billion. From 1995 through 2008, the box office revenue incr
soldier1979 [14.2K]

Answer:

1.06 x 10^{10} (3sf)

Step-by-step explanation:

using compound interest formula A = P(1+\frac{R}{100}) ^{n}

from 95 to 08 is 13 yrs

Total Revenue = (5.02 x 10^{9})(1 + \frac{5.9}{100}) ^{13} = 1.057 x 10^{10}

6 0
3 years ago
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