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sdas [7]
3 years ago
7

Find the area of the missing piece of the polygon and explain your process for finding it:

Mathematics
1 answer:
Otrada [13]3 years ago
8 0

Answer:

42

Step-by-step explanation:

In short, the sum of the opposite areas are equal.

x + 30 = 24 + 48

x = 42

To prove this, draw a line from each corner to the "center" where the four lines meet.  Along each side of the square are two triangles.  These triangles have the same base and the same height, and therefore have the same area.

If we say the triangles at the bottom have area a, the triangles on the left have area b, the triangles on top have area c, and the triangles on the right have area d, then we can write 4 equations:

a + b = x

b + c = 24

c + d = 30

a + d = 48

Adding the first and third equations:

a + b + c + d = x + 30

Adding the second and fourth equations:

a + b + c + d = 24 + 48

Therefore:

x + 30 = 24 + 48

x = 42

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A seller of the property listed at $200,000 excepted a 90% offer the home appraised at $185,000 and the buyers obtained a loan f
Elza [17]

Answer:

$637.50

Step-by-step explanation:

According to the Question,

  • Given That, A seller of the property listed at $200,000 excepted a 90% offer the home appraised at $185,000 and the buyers obtained a loan for 85% for 30 years at 5% interest

Thus, the first months interest is

$200,000 list price x 0.90 = $180,000 contract sales price.

Since lender always uses the less of the appraised value or the contract sales price, use $180,00 for the remainder of the calculations.

  • $180,000 contract sales price x 0.85 LTV = $153,000 loan.
  • $153,000 loan x 0.05 interest rate = $7,650 annual interest.
  • $7,650 ÷ 12 = $637.50 monthly interest payment for the first month.
5 0
2 years ago
Read 2 more answers
Michael Jordan is 6'6'' tall and could jump 4 feet of vertical distance off the ground.A basketball net's rim is 3.9 meters off
Vaselesa [24]
No. 6+4=10. Michael Jordan's head reaches 10'6" above the ground. A meter is slightly more than 3 feet, so 3.9 meters is more than 11'8". 

MJ's head would not reach the rim by more than a foot.
3 0
3 years ago
Explain what is the difference between (-6) to the power of 2 and -6 to the power of 2.
Allisa [31]

Answer:

Step-by-step explanation:

(-6)² = -6*-6

(-6)² = 36

-(6)² = -(6*6)

-(6)² = -36

The sign is affected by potency

8 0
3 years ago
Determine for what values of x and y are the following equalities always true.
Agata [3.3K]
(k+1)x-(2k+3)y-3k-5=0
kx + x - 2ky - 3y - 3k - 5 = 0
(x - 2y) k + (x - 3y) = 3k + 5

therefore
x - 2y = 3
x - 3y = 5

Subtract 2 equations
y = -2
x = -1
3 0
3 years ago
Multiply. √3 ⋅ 2√2 ⋅ 5√8 ⋅ √18 Enter your answer, in simplest radical form, in the box.
kenny6666 [7]

Answer:

120√6

Step-by-step explanation:

Simplify the 5√8 to 2√2

simplify the √18 to 3√2

so it would be √3 * 2√2 * 5 * 2√2 * 3√2

when a square root of an expression is multiplied by itself:

√3 * 2 * 2* 5 * 2 * <em>3</em>√2

so as we calculate it, 2 * 2* 5 * 2 * <em>3</em> = 120 and √2 * √3 = 6


4 0
3 years ago
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