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nexus9112 [7]
2 years ago
11

Given: ABCD is a parallelogram. Prove:

Mathematics
1 answer:
Zina [86]2 years ago
3 0

Answer:

in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D . We know that the sum of the angles of a quadrilateral is 360o. Hence, ABCD is a parallelogram.

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What is the radius of a circle with an area of 78.5 cubic inches? Use 3.14 for pi. Enter your answer in the box.
UkoKoshka [18]

\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=78.5 \end{cases}\implies 78.5=\pi r^2\implies \cfrac{78.5}{\pi }=r^2 \\\\\\ \sqrt{\cfrac{78.5}{\pi }}=r\implies 4.9987\approx r

5 0
3 years ago
Read 2 more answers
If C(5,-5) and D(7,3), then what is the length of CD?​
Aleks04 [339]

Answer:

≈ 6.16

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = C(5, - 5) and (x₂, y₂ ) = D(7, 3)

d = √ (7 - 5)² + (3 + 5)²

  = √ 2² + 8² = √ 4 + 64 = √68 ≈ 6.16 ( to 2 dec. places )

8 0
3 years ago
Read 2 more answers
A supermarket chain gathers data on the amount they spend on promotional material (e.g., coupons, etc.) and sales revenue genera
vazorg [7]
Answer: The predictor variable in this problem is the amount spent on promotional material.

Explanation: 

A predictor variable refers to variable needed to make a prediction of another variable. If we analyze the problem, we notice that the supermarket chain is predicting the sales revenue generated because once the supermarket spends on promotional material, it will result to sales revenue. Thus, the predictor variable is the amount spent on promotional material.
8 0
3 years ago
To make a bakery's signature chocolate muffins
garri49 [273]

Become a ninja sneak in and steal their recipe and get out and don't get caught. - VEX

7 0
2 years ago
Triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).
kotykmax [81]

Answer:

5y - 6x = 8 or y = 6x/5 + 8/5

Step-by-step explanation:

let M1= gradient of line AB and M2= gradient of the second line

When two lines are perpendicular, the product of their gradients is -1

i.e, M1M2= -1

M2= -1/M1

A(2,9) and B(8,4)

gradient= (y2-y1)/(x2-x1)

M1= (4-9)/(8-2)

= -5/6

M2= -1÷ -5/6

-1 × -6/5= 6/5

Equation of the line passing through C(-3,-2)

[y-(-2)]/[x-(-3)= 6/5

(y+2)/(x+3)= 6/5

5(y+2)= 6(x+3)

5y+10=6x+18

5y= 6x + 8

y= 6x/5 + 8/5

7 0
2 years ago
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