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Ulleksa [173]
3 years ago
5

Somebody please help me out!

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0
Since the triangles are similar, all sides are proportional by the same scale factor.
The relationship between the bases 32 and 8 is 4 (32/8 = 4). This means that the smaller triangle need to be multiplied by a scale factor 4 to result in the bigger triangle.
This means that 4x + 12 is 4 times greater than 15.
The equation to solve for x can be written as:
4x + 12 = 4*15
Now just solve for x as u normally would
4x + 12 = 60
(Subtract twelve from both sides)
4x = 48
(Divide both sides by 4 to isolate x)
x = 12

I hope this somewhat helped :)
Was my explanation clear enough?
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Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now.
vovikov84 [41]
R=3*S
in 6 years ⇒R+6=2*(S+6)
3*S+6=2*S+2*6
3S+6=2S+12
3S-2S=12-6
S=6 
R=3*6=18 ( Ralph 's age now)

in 6 years Ralph's age will be 3*x+6

6 0
3 years ago
Factor 2x^2 - 50 completely.
alekssr [168]

Answer:

The answer is C

Step-by-step explanation:

There are 2 X's therefore there will be two sets of quotations with one X in each. Then find the multiples of 50.

Try -5 and +5 go in with the x which makes the answer C

7 0
3 years ago
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The mean of 100 numerical observation is 51.82. What is the value of the sum of all 100 numbers?
irina [24]
X / 100 = 51.82....multiply by 100 on both sides
x = 51.82 * 100
x = 5182 <== sum of all 100 numbers
5 0
3 years ago
A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a fiat packing fee of $
Marina CMI [18]

Answer:

f(x)=2.25x+5

Step-by-step explanation:

8 0
2 years ago
Equation: w = 112 + 8t Which input results in an output of 176? What is the output in the ordered pair (4, 144)?
Grace [21]

9514 1404 393

Answer:

  • 8
  • 144

Step-by-step explanation:

Generally, the single variable on the left side of the equation is the "output" or dependent variable, while any other variables on the right side of the equation are considered to be independent variables, or "input."

So, we assume your first question is asking for the value of t that makes w=176. Put the values in the equation and solve for the unknown.

  w = 112 +8t

  176 = 112 + 8t

  64 = 8t . . . . . . . subtract 112

  8 = t . . . . . . . . . divide by 8

The input for an output of 176 is 8.

__

Ordered pairs are always written as ...

  (input, output)

So, (4, 144) means the output is 144 for an input of 4.

7 0
3 years ago
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