All categories

3 years ago

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

Mathematics

1 answer:

Nataly_w [17]3 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

A bag contains red, green, and yellow marbles. The probability of selecting a red marble is 35%. What is the probability of not

KonstantinChe [14]

Probablity of selecting a red marble= 35%

Probablity of not selecting a red marble= 100%-35%

=65%

Hope it helps you. Please mark brainliest.

6 0

3 years ago

Find the volume of a rectangular prism with a base that has an area of 22 square centimeter and a height of 8 centimeters.

Jlenok [28]

Answer:

176cm³

Step-by-step explanation:

Multiply area of base times height

22cm² × 8cm = 176cm³

3 0

3 years ago

Celia measures her heart rate at 124 beats per minute. This is 62 beats more than her reasting rate r. Write an equation to find

Luda [366]

124-62=62 so the answer will be 62

7 0

3 years ago

Tony bought a skateboard online. It cost $96 plus 20% shipping and handling. What was the total cost?

Anvisha [2.4K]

The answers would be 480

4 0

3 years ago

Whoever can answer this will get brainlyest

azamat

Answer:

The proportion is $\frac{35}{108}$ = $\frac{x}{84}$ , and the length of the unknown side is $\frac{245}{9}$ or 27.22 approximately rounded to the nearest hundredth.

Step-by-step explanation:

Since the triangles are similar, the proportion of corresponding sides are equal. The pairs of corresponding sides in these triangles which we'll use to solve it are LK, KE, MK, and KF. LK and KE are corresponding sides, and their proportion is $\frac{35}{108}$ . MK and KF are corresponding sides, and their proportion is $\frac{x}{84}$ in which x represents the missing side. The proportions are equal, so $\frac{35}{108}$ = $\frac{x}{84}$ . Multiply both sides by 84 to isolate the variable, and you'll get $x = \frac{35*84}{108}$ , which is $\frac{2940}{108}$ or $\frac{245}{9}$ .

6 0

3 years ago