All categories

2 years ago

The quadrilateral ABCD is a parallelogram. The value of a is?

Mathematics

1 answer:

Nataly_w [17]2 years ago

6 0

Step-by-step explanation:

in a parallelogram, opposite angles are equal..

so C is 4a + 22. and B is 6a - 12.

sum of interior angles in a quadrilateral = 360

4a + 22. + 6a - 12. + 4a + 22. + 6a - 12 = 360

20a + 20 = 360

20a = 340

a = 17

sum of angles on a straight line = 180

B + x = 180

6 ( 17) - 12 + x = 180

102 + × = 180

× = 180 - 102

× = 78

You might be interested in

Lily is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pa

Nesterboy [21]

Answer:

<h2>The slope is 100</h2>

Step-by-step explanation:

Given that the equation that represents the total cost is given as

C=900+100p--------1

this equation is the same as the equation of a straight line, and we can deduce from it when we compare it the straight line equation

the equation of a line is given as

y=mx+c------2

comparing equation 1 and 2 we have the slope as

m=100

In the context of this problem m=100 means that the cost of producing a phone per material and labour cost is $100

7 0

3 years ago

What is the sum of the arithmetic series: s10 = -20, d = 4, a1 =?

Otrada [13]

<h2>Step-by-step explanation:</h2><h3> $\green\star$ Given</h3>

$\blue\star$ s10 = -20

$\blue\star$ n = 10

$\blue\star$ an = -20

$\green\star$ solution

$\green\star$ s10 = n\2 [a+(n-1)d]

$\green\star$ -20 = 10a2[a+(10-1)4]

$\green\star$ -4 = a +36

$\green\star$ a1 = -40

$\small\boxed{a = -40}$

Hope it helps.

Hope it helps

8 0

3 years ago

Read 2 more answers

On a coordinate grid, both point (−4, −1) and (2, 6) point are reflected across the y-axis. What are the coordinates of the refl

vichka [17]

The reflected points are (4, -1) and (-2, 6).

4 0

3 years ago

Which word is closest in meaning to defiance?

Lina20 [59]

Answer:

4. refusal

Step-by-step explanation:

since defiance means not willing to cooperate

3 0

2 years ago

Read 2 more answers

HELP ME I WILL MARK BRAINLIEST

Westkost [7]

Answer:

The answer is 1/15

I hope it helps

7 0

3 years ago