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bagirrra123 [75]
3 years ago
15

One of the same side angles of two parallel lines is 20° smaller than the other one. Find all angles.

Mathematics
1 answer:
KiRa [710]3 years ago
3 0
Hello.

First, draw a picture of two parallel lines and a transversal.
Find the two same side angles, either the same side interior or the same side exterior.
We do not know the measurement of the angle, so we'll label it x.
The second angle is 20° smaller than the other one so we'll label is x-20

Same side angles are supplementary. Meaning that they add up to 180°

Next, make an equation.
1st angle + 2nd angle = 180°
Now substitute the first and second angle to x and x-20
The substituted equation should now look like this.
x+x-20=180
solve it and you'll get...
x=100

But we're not done.

The angle labeled x is 100°
The other one is x-20
And since x=100, the second angle is 100-20=80°
Now use linear pairs, more same side angles, vertical angles, alternate angles, and linear pairs, to label the rest. Remember that each angle is either 100° or 80°.

Hope this helped!

-Emily
 

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Pls I need help with this ASAP
andrew-mc [135]

Answer:

The answer is 30.

Step-by-step explanation:

All of those angles will add up to 360 degrees. Since 150 is the same as the angle across from it that means the other one is 150. Add those 2 together that gets 300. So what is left? It is 60. So divide 60 between those two angles and you get 30.

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3 years ago
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Jean works as a secretary for a local business. She is paid $10.50 per hour. She
PIT_PIT [208]

Answer:

$472.5

Step-by-step explanation:

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5 0
3 years ago
Emilio writes the inequality 17(f+2)+45.99<200 The situation using the variable as to represent the number of friends solve a
larisa [96]

Answer:

7 friends

Step-by-step explanation:

Given the inequality expression

17(g+2)+45.99<200

We are to find the value of g that satisfies the inequality

Expand

17g+34 +45.99<200

17g+79.99<200

Subtract 79.99 from both sides

17g+79.99-79.99<200-79.99

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7 0
3 years ago
Standard deviation of 300, 785, 670, 187, 760, 724
White raven [17]
STEP 1

Mean = \frac{300+785+670+187+760+724}{6} = \frac{3426}{6}=571

STEP 2

Subtract the mean from each data value then square the answer
300-571=-271 ⇒ (-271)^{2} =73441
785-571=214 ⇒ (214)^{2}=45796
670-571=99 ⇒ (99)^{2}=9801
187-571=-384 ⇒ (-384)^{2} =147456
760-571=189 ⇒ 189^{2}=35721
724-571=153 ⇒ 153^{2} =23409

STEP 3

Add the squared answers in STEP 2 then find the mean

\frac{73441+45796+9801+147456+35721+23409}{6}= \frac{335624}{6}=55937.3

STEP 4

Square root the answer in STEP 3
\sqrt{55937.3} =236.5

Standard deviation is 236.5
 
7 0
3 years ago
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