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2 years ago

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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Find angle a given that a equals 18.2 angle B equals 62° and angle C equals 48°

alexdok [17]

Answer:

Angle a is already 18.2°

Step-by-step explanation:

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3 years ago

Rewrite the equation by completing the square.

Pavlova-9 [17]

Answer:

$(x-\frac{1}{2})^2=\frac{81}{4}$

Step-by-step explanation:

Hi there!

$x^2-x-20=0$

This equation is written in the form $ax^2+bx+c=0$ . First, use partial factoring:

$(x^2-x)-20=0$

For x^2-x, the b value is -1 in $ax^2+bx+c$ . To complete the square, take the square of half of 1 and add it in the parentheses as the c value:

$(x^2-x+\frac{1}{2}^2 )-20=0$

However, when adding values to one side of the equation, we must to the same to the other side:

$(x^2-x+\frac{1}{2}^2 )-20=\frac{1}{2}^2$

Complete the square:

$(x-\frac{1}{2})^2-20=\frac{1}{4}$

Move 20 to the other side

$(x-\frac{1}{4})^2=\frac{1}{4}+20\\(x-\frac{1}{2})^2=\frac{81}{4}$

I hope this helps!

7 0

3 years ago

When solving negative one over eight (x + 35) = −7, what is the correct sequence of operations? (5 points)

sasho [114]

The correct answer choice is:
______________________________________________
[C]: "Multiply each side by −8, subtract 35 from each side" .
_______________________________________________
Explanation:
_______________________________________________
Given: " $\frac{-1}{8}$ (x + 35) = -7 " ;

We can START by multiply each side of the equation by "-8" to completely get rid of the " $\frac{-1}{8}$ " fraction on the "left-hand-side" of the equation:

since: " $\frac{-1}{8}$ * -8 = 1 ; and: "1" , multiplied by any given value, is equal to that given value; so in effect, the "1" becomes eliminated.

" $\frac{-1}{8}$ * -8 =

$\frac{-1}{8}$ * $\frac{-8}{1}$ =

$\frac{(-1*-8)}{(8* 1)}$ = $\frac{8}{8}$ = 1 .
____________________________________________________
So, given: " $\frac{-1}{8}$ (x + 35) = -7 " ; ;

We multiply each side of the equation by "-8" ;

→ -8 * { $\frac{-1}{8}$ (x + 35) } = -7 * {-8) " ;

→ 1 (x + 35) = 56 ;

→ x + 35 = 56 ;

Then, we SUBTRACT "35" (FROM EACH SIDE OF THE EQUATION) ; to isolate "x" on ONE SIDE OF THE EQUATION; and to solve for "x" ;

→ x + 35 − 35 = 56 − 35 ;

→ x = 21 .
______________________________________________________
So, as explained, the correct answer is:
______________________________________________________
Answer choice: [C]:
______________________________________________________
"Multiply each side by −8, subtract 35 from each side" .
______________________________________________________

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3 years ago

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