$. 15 to 18 what is the percentage of 15 to 18

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

3 years ago

What did Galton use to calculate how strong the relationship was for the line of best fit? a bell shaped curve forensics genetic

liubo4ka [24]

"Correlation Coefficient" is the value from between -1 and 1 indicates the strength of the correlation between two variables. Galton calculated the correlation coefficient for the line of best fit, to see how strong the relationship was. Hope this helps you! Thank you for posting your question at here on Brainly. Have a great day. -Charlie

4 0

3 years ago

Read 2 more answers

Slope of (16, 8) (8, 4)

Tom [10]

Answer:

slope of (16,8) (8,4) is 1/2

8 0

2 years ago

I need help with this question i dont understand it

RUDIKE [14]

The perimeter, by definition, is the outside measure of that figure. MN and LM are the same length and LK and NK are the same length....we just need to find the lengths! Use the distance formula to find the distance between the 2 points:
$\sqrt{( x_{2} - x_{1} ) ^{2} +( y_{2}- y_{1} ) ^{2} }$
For the segment MN, use the coordinates of M as your x1, y1, and use the coordinates of N for x2, y2:
$\sqrt{(3-2) ^{2}+(4-3) ^{2} }$
which simplifies to
$\sqrt{(1 )^{2}+(1) ^{2} }$ which is $\sqrt{2}$
So that is the length of both MN and LM. So far our perimeter is $\sqrt{2} + \sqrt{2}=2 \sqrt{2}$
Now let's use the same formula to find out the length of one of the longer segments:
$\sqrt{(5-3) ^{2} +(3-2) ^{2} }$
which simplifies down to
$\sqrt{(2) ^{2} +(1) ^{2} }$
which is of course $\sqrt{5}$
Since we have 2 of those lengths, $\sqrt{5} + \sqrt{5}=2 \sqrt{5}$
So our perimeter is, in the end, $2 \sqrt{2}+2 \sqrt{5}$
That's the third choice down

7 0

3 years ago

Use The Scale Factor 1:12 To Find The Missing Dimension

adell [148]

Answer:

The length of the model is 21 inches

Step-by-step explanation:

we have

The scale factor

$\frac{1}{12}$

That means

1 unit in the model represent 12 units in the actual

1 inch in the model represent 12 inches in the actual

Remember that

$1\ ft=12\ in$

so

1 inch in the model represent 1 ft in the actual

The scale factor is

$\frac{1}{1}\ \frac{in}{ft}$

therefore

21 ft in the actual represent 21 inches in the model

6 0

3 years ago