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Marysya12 [62]
3 years ago
14

. State the length of the missing side. Note: This quadrilateral is a parallelogram.

Mathematics
1 answer:
Svetllana [295]3 years ago
5 0

7.7

Step-by-step explanation:

In a parallelogram opposite sides are congruent.

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Please Help!
alisha [4.7K]

Diagonal of the parallelogram divides the parallelogram in to two equal areas.

So area of parallelogram = 2(area of triangle)

According to the given diagram,

AB= 8, AD = 5 and BD = 11

So according to the Heron's formula,

Area of triangle = \sqrt{s(s-a)(s-b)(s-c)}\\\\where,\\ s =\frac{a + b + c }{2}

and a, b and c are the three sides of the triangle

Area of triangle ABD =s=\frac{8 + 5 + 11}{2} \\\\s = \frac{24}{2}\\\\s = 12Area of triangle ABD = \sqrt{12(12 - 8) (12 - 5) (12 - 11)}\\\\Area of triangle ABD = \sqrt{12(4) (7) (1)}\\\\Area of triangle ABD = \sqrt{336}\\\\Area of triangle ABD = 18.33

So, area of parallelogram ABCD = 2(area of triangle ABD)

area of parallelogram ABCD = 2 (18.33)

area of parallelogram ABCD = 36.66

area of parallelogram ABCD = 36.7 sq. units

6 0
3 years ago
Read 2 more answers
What's the slope of -4,6 and 3,-8
notsponge [240]

Answer:

The slope is -2

Step-by-step explanation:

(-4,6) (3,-8)

(y₂ - y₁) / (x₂ - x₁)

((-8) - (6)) / ((3) - (-4))

(-8 - 6) / (3 + 4)

-14/7 = -2

4 0
3 years ago
What is the value of 10P10
storchak [24]
ONO THAT NOT THE ANSWER THIS IS [3,628,800] 10P10=10, AND 0!= 10 TIMES 9 TIMES 8 TIMES 7 TIMES 6 TIMES 5 TIMES 4 TIMES 3 TIMES 2 TIMES 1= 3,628,800.
7 0
3 years ago
Mary is melting a rectangular block of wax that measures 10 cm×9 cm×20 cm. Determine how many candles she can make of the follow
Rashid [163]

Answer:

7

Step-by-step explanation:

https://www.numerade.com/questions/reasoning-in-exercises-35-and-36-you-are-melting-a-rectangular-block-of-wax-to-make-candles-how-ma-2/

This link lets you access a video for the correct answer

4 0
2 years ago
Which value must be added to the expression x2 + x to make it a perfect-square trinomial? One-fourth One-half 1 4
SVEN [57.7K]

Answer:

\frac{1}{4}

Step-by-step explanation:

Given

x² + x

To complete the square

add ( half the coefficient of the x- term )² to x² + x

x² + 2(\frac{1}{2} )x + (\frac{1}{2} )² = x² + x + \frac{1}{4}

= (x + \frac{1}{2} )² ← perfect square

3 0
3 years ago
Read 2 more answers
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