Select the correct answer.

Find the angles of a parallelogram in which an exterior angle is one-third that its interior angle.

iogann1982 [59]

Answer:

The angles of a parallelogram are 135°-45°-135°-45°

Step-by-step explanation:

we know that

In a parallelogram opposites angles are congruent and consecutive angles are supplementary

Remember that

The sum of a exterior angle and its interior angle is equal to 180 degrees

Let

x ----> the measure of one interior angle of parallelogram

y ----> the measure of the other interior angle of parallelogram

we have that

$x+\frac{x}{3}=180^o$

solve for x

$\frac{4}{3}x=180^o\\\\x=(180^o)3/4\\\\x=135^o$

Find the measure of the other interior angle of parallelogram

Remember that consecutive interior angles are supplementary

$x+y=180^o$

substitute the value of x

$135^o+y=180^o$

solve for y

$y=45^o$

therefore

The angles of a parallelogram are 135°-45°-135°-45°

3 0

4 years ago

A number is equal to three times the smaller number also the sum of the smaller number and four is the larger number situation i

emmainna [20.7K]

Answer:

this question is missing needed information

8 0

3 years ago

Diego said that the awnser to the question "How many groups of 5/6 are in 1?" Is 6/5 or 1 1/5.Do you agree with his statement? E

slamgirl [31]

Answer:

Diego is correct.

He has correctly divided 1 in groups of $\frac{5}{6}$ .

Step-by-step explanation:

The question 'How many groups of 5/6 are in 1?' means that we need to divided 1 into groups of $\\frac{5}{6}$ .

When we form groups from a given total, we divided the total by the size of the group.

If we are dividing $N$ number of people in groups of $x$ number of people, then the expression to find the number of groups formed can be given as:

⇒ $\frac{N}{x}$

For this question the data given is:

$N=1$

$x=\frac{5}{6}$

So, the number of groups formed can be given as:

⇒ $\frac{1}{\frac{5}{6}}$

When divisor is a fraction, then we multiply the reciprocal of the divisor with the dividend.

⇒ $1\times\frac{6}{5}$

⇒ $\frac{6}{5}$

In order to convert fraction to mixed number we will divide numerator with denominator and then write the quotient as whole number, remainder as numerator and the denominator remains as it is.

On dividing 6 by 5, the quotient =1 and remainder =1. Thus the mized number is:

⇒ $1\frac{1}{5}$

Thus, there are $\frac{6}{5}$ or $1\frac{1}{5}$ groups in 1. This matches with Diego's answer and hence he is correct.

3 0

3 years ago

What’s the correct answer for this question?

choli [55]

Answer:

C

Step-by-step explanation:

A cylinder is formed when rotating the 3-D figure around y-axis

3 0

3 years ago

Which statement could be used to prove to provide that the function f(x)= -4x+6 grows by equal differences over any x-interval o

Ivahew [28]

Find the Greatest Common Factorthe largest number that divides evenly into 4x4x and -6−6?
It is 22.
the highest degree of xx that divides evenly into 4x4x and -6−6?
It is 1, since xx is not in every term.Multiplying the results above,
The GCF is 22.

2(24x−26)


−2(2x−3)

3 0

3 years ago