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Dennis_Churaev [7]
3 years ago
6

Which statement can be used to prove that a given parallelogram is a rectangle?

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
6 0

Answer:

Diagonals of the parallelogram are congruent.

Step-by-step explanation:

Thepotemich [5.8K]3 years ago
5 0
Diagonals of the parallelogram are congruent.
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⦁ Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism
vlabodo [156]

If the surface area of the stand to be 35 ft². The number of ropes purchase is 45.3125ft and  Percent of stand area is 83%.

<h3> Number of ropes  and Percent of stand area</h3>

Given:

Base area=3ft²

Height=3.2 feet

Surface area=35ft²

a. Number of ropes

Surface area=2×Base area×Base perimeter×Height

Base perimeter(BP):

35=2×3+BP×3.2

35=6+3.2BP

Collect like term

3.2BP=35-6

3.2BP=9

Divide both side by 3.2BP

BP=29/3.2

BP=9.0625ft

Number of ropes=5×9.0625ft

Nimber of ropes=45.3125ft

b. Percent of stand area:

Percent of stand area=(9.0625ft×3.2)÷35ft²

Percent of stand area=29ft²÷35ft²×100

Percent of stand area=82.857ft×100

Percent of stand area=83% (Approximately)

Therefore the number of ropes purchase is 45.3125ft and  Percent of stand area is 83%.

Learn more about Percent of stand area here:brainly.com/question/2639075

7 0
2 years ago
Write the equation of the circle in general form. Show your work.
vlabodo [156]
(x+1)²+(y+1)²=9

the answer can be found with 
(x-h)²+(y+k)²=r²
where the point (h,k) is the center.
7 0
4 years ago
Solve the following equation. Then place the correct number in the box provided. 5x/8+10=2
QveST [7]

Answer:

3 with a remaider of 2

Step-by-step explanation:

10+8=18 5/18=3 with a remainder of 2

4 0
4 years ago
Read 2 more answers
Solve for x. Show EACH step for full credit. Circle your final answer
adelina 88 [10]

Answer:

x=4

Step-by-step explanation:

2(8 - 12x) + 8x = -25x + 52

Distribute

16 -24x +8x = -25x +52

Combine like terms

16 - 16x = -25x +52

Add 25x to each side

16 -16x+25x = -25x+52+25x

16+9x = 52

Subtract 16 from each side

16+9x-16 = 52-16

9x = 36

Divide by 9

9x/9 = 36/9

x =4

3 0
3 years ago
Read 2 more answers
Find the area of the shaded region. All angles are right angles.
elena-s [515]

Answer:

166 m^2

Step-by-step explanation:

Break the diagram into 3 rectangles:

rectangle 1 has 5 m width and 9 m length

rectangle 2 has 19 m width and 4 m length

rectangle 3 has 5 m width and 9 m length

area of rectangle 1 = l * w = 9m * 5m = 45 m^2

area of rectangle 2 = l * w = 4m * 19m = 76 m^2

area of rectangle 3 = l * w = 9m * 5m = 45 m^2

total area = area of rectangle 1 + area of rectangle 2 + area of rectangle 3

                = 45m^2 + 76 m^2 + 45 m^2

                = 166m^2

5 0
3 years ago
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