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Ann [662]
4 years ago
7

If j = h and k = m, then which expression represents the value of g?

Mathematics
1 answer:
Anton [14]4 years ago
6 0

Answer:

g = \frac{f}{2}

Step-by-step explanation:

The segment DE joining the midpoints of 2 sides of the triangle is parallel to the third side and half the length of the third side, thus

g = \frac{f}{2}

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Find the area of a 2-inch-wide decorative border around a rectangular canvas painting, where L is the length and W is the width
lions [1.4K]

Answer:

  4L +4W +16 square inches

Step-by-step explanation:

The area of the border is the equivalent of that of a rectangle with a width equal to the width of the border, and a length equal to the length of the midline of the border. That length is the perimeter of the rectangle that is L+2 units long and W+2 units wide.

  border midline length = 2((L+2) +(W+2)) = 2L +2W +8

Then the border area is ...

  border area = (border width)(border length) = (2)(2L +2W +8)

  border area = 4L +4W +16 . . . square inches

_____

You can also figure this as the difference between the area of the rectangle with the border and the area of the rectangle inside the border:

  border area = total area - canvas area

  = (L+4)(W+4) -LW = LW +4L +4W +16 -LW

  = 4L +4W +16 . . . . square inches

4 0
3 years ago
An isosceles triangle has a perimeter of 80 inches. The congruent sides are 7 inches longer than the third side of the triangle.
masya89 [10]

Answer: the length of each of the congruent sides is 29 inches.

The length of the third side is 22 inches.

Step-by-step explanation:

In an isosceles triangle, two sides are equal. The base angles are also equal.

Let x represent the Length of each of the congruent side.

The congruent sides are 7 inches longer than the third side of the triangle. This means that the length of the third side of the triangle is

x - 7

The formula for determining the perimeter of a triangle is

a + b + c

Where a, b and c are the length of each side of the triangle.

If the isosceles triangle has a perimeter of 80 inches, it means that

x + x + x - 7 = 80

3x - 7 = 80

3x = 80 + 7 = 87

x = 87/3 = 29 inches

The length if the third side would be

29 - 7 = 22 inches

5 0
3 years ago
Give the degree and classify the polynomial by the number of terms.
cestrela7 [59]

Answer:

degree 3, binomial

Step-by-step explanation:

the highest exponent is the degree, it's two terms so bi meaning 2 makes it a binomial

5 0
3 years ago
While shopping for clothes, Consuelo spent $3 less than twice what Brenda spent. Consuelo spent $81. How much did Brenda spend?
mash [69]
Consuelo spent $81.
Brenda spent $81 x 2 + $3 = $185
3 0
3 years ago
Please answer if you are SURE.
Aleonysh [2.5K]

Answer Step-by-step explanation:

2x-7

-14

3x

2+7

6 0
3 years ago
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