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2 years ago

Which of the following is a valid reason why the quadrilateral shown below is a parallelogram?

Mathematics

1 answer:

saveliy_v [14]2 years ago

7 0

The correct answer to this question is: " A valid reason why the quadrilateral shown below is a parallelogram is that "B. All pairs of consecutive angles are supplementary."

The choices are:
A. Both pairs of opposite angles are congruent
B. All pairs of consecutive angles are supplementary
C. Both pairs of opposite sides are parallel
D. All pairs of consecutive angles are complementary

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Rounding factors to the greatest place results in this

san4es73 [151]

Estimate is the answer

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1 year ago

If someone was born in 2018 September 12th how old will they be in 2082?

Margaret [11]

Answer: 64 years old

Step-by-step explanation:You subtract 2082 by 2018 to get the sum of 64

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2 years ago

Read 2 more answers

Your friend claims that it is possible to draw a right triangle where the cosine of either angle (theta) is exactly the same val

avanturin [10]

Answer:

B. No

$Cos \ \theta\neq Cos (90-\theta)\textdegree$

Step-by-step explanation:

-A right angle triangle has two complimentary acute angles and one right angle.

- $\theta$ is usually one of the acute angles and is equivalent to 90º minus it's complimentary acute angle.

-Complimentary angles add up to 90º.

#For complimentary angles:

$Sin \ \theta=Cos \ (90-\theta)\textdegree\\\\Cos \ \theta=Sin(90-\theta)\textdegree\\\\\therefore Cos \ \theta\neq Cos (90-\theta)\textdegree$

The two acute angles cannot have the same Cosine value.

Hence, she's not correct.

5 0

2 years ago

The sum of two numbers is 48.when the smaller number is subtracted from the larger number,the difference is 12. What are the two

Savatey [412]

Answer:

The two numbers are:

30 and 18

Step-by-step explanation:

a + b = 48

a - b = 12

From the first eq.

a = 48 - b

Replacing this last value in the second eq.

(48 - b) - b = 12

48 - 2b = 12

48 - 12 = 2b

36 = 2b

36/2 = b

18 = b

from the first eq.

a + 18 = 48

a = 48 - 18

a = 30

Check:

from the second eq.

a - b = 12

30 - 18 = 12

5 0

1 year ago

A mountain is in the shape of a cone whose height is about 3.7 kilometers and whose base radius is about 3 kilometers. Approxima

Lelu [443]

Answer:

34.54 $km^{3}$

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Height (h) = 3.7 km

Base radius (r) = 3 km

We can calculate the volume of mountain by using following formula,

So, volume of cone = (1/3)π $r^{2}$ h

By putting the value in the formula, we get

= (1/3) π × $3^{2}$ × 3.7

= 11.1π

= 34.54 $km^{3}$

Hence, the volume of the mountain is 34.54 $km^{3}$ .

7 0

2 years ago