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Darya [45]
3 years ago
13

Problems with Equations: Mastery Test

Mathematics
1 answer:
GaryK [48]3 years ago
6 0

Step-by-step explanation:

The answer is 8

Because you have to put each value of x given in the equation 3x = 24

So when you put the value 8

3(8) = 24

24 = 24

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Can someone help me find the area of the following figure
ExtremeBDS [4]
1. The area of the full rectangle is 21 * 28 = 588. We will need this later. 

Like you drew, there is an imaginary triangle missing. We can find the dimensions of it by subtracting from the given information. The shorter leg of it is 21 - 12 = 9, the longer leg is 28 - 14 = 14.

Now we find the area of the triangle. Area of a triangle is 1/2 * base * height. So 1/2 * 9 * 14 = 1/2 * 126 = 63. 

Now we do the full area of 588 minus the area of the missing triangle piece. 

588 - 63 = 525 ft²

2. Do the area of the rectangle and then this time add on the area of the triangle. 7 * 15 = 105. Area of the triangle = 1/2 * 2 * 7 = 1/2 * 14 = 7. 

105 + 7 = 112 in²
6 0
3 years ago
F(x) = 5x-2, find f(-3/5) what is the output of the given input
Natasha_Volkova [10]
F(x) = 5x - 2
f(-3/5) = 5(-3/5) - 2
f(-3/5) = -15/5 - 2
f(-3/5) = -3 - 2
f(-3/5) = -5
4 0
3 years ago
How do I find the percent of budget?​
ch4aika [34]

Answer:

First, subtract the budgeted amount from the actual expense. If this expense was over budget, then the result will be positive.

Next, divide that number by the original budgeted amount and then multiply the result by 100 to get the percentage over budget. If your expenses were lower than your budgeted amount, then this number will be negative, describing the percentage under budget.

6 0
3 years ago
Determine whether line segment FG is tangent to circle E.
liubo4ka [24]

The tangent meets the radius at a right angle.

We use (the converse of) the Pythagorean Theorem to check:

26^2 + 17^2 = 965 \ne 30^2

Not a right triangle

Answer: FALSE

4 0
3 years ago
What is the distance between the points (-2, 5) and (4, -3)?
Soloha48 [4]
See the attachment..........

8 0
3 years ago
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