1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitry [639]
3 years ago
7

Which statement could be used in step 2 when proving x = 30?

Mathematics
2 answers:
evablogger [386]3 years ago
5 0

we know that

m∠ORP+m∠ORN=180\° ------> by supplementary angles

substitute the values

80\°+(3x+10)\°=180\°

3x+10=180-80\\ 3x=100-10\\x =90/3\\x =30\°

therefore

<u>the answer is</u>

x =30\°

lawyer [7]3 years ago
5 0

Answer:

Option A is the correct choice.

Step-by-step explanation:

We have been given a graph of angles formed around a line and we are asked to choose the correct option that could be used in step 2 to prove that x equals 30.

\text{ Given}: m\angle ORP=80^o

We can see that angle ORP and angle ORN (3x+10) forms a linear pair as they are adjacent and formed by line PN intersected by line MO.

Therefore, the step 2 to prove that measure of x is 30 will be: \angle ORP\text{ and }\angle ORN is linear pair of angles and option A is the correct choice.

Let us solve for x.

Since linear pair of angles add up-to 180 degrees, so we can set an equation as:

m\angle ORP+m\angle ORN=180

80+3x+10=180

90+3x=180

90-90+3x=180-90

3x=90

\frac{3x}{3}=\frac{90}{3}

x=30

Hence proved.

You might be interested in
The formula is: <br><img src="https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%7Br%7D%5E%7B3%7D%20" id="TexFor
uranmaximum [27]

Answer:

Volume of hemisphere=

<u>\frac{2}{3} \pi   {r}^{3}</u>

<u>Volume</u><u> </u><u>of</u><u> </u><u>sphere</u><u>=</u><u> </u>

<u>\frac{4}{3} \pi {r}^{3}</u>

Step-by-step explanation:

\frac{2}{3}  \times  \frac{22}{7}  \times  {8}^{3}

Using calculator=

1072.761905

Round to the nearest tenth=

1072.8

5 0
3 years ago
Mrs . Haider went to the mall and purchased tacos and burritos at the food court. 20 of her family member were visiting, so she
-BARSIC- [3]
the correct answer to your problem is a
7 0
4 years ago
If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?
arlik [135]

Answer:

5

Step-by-step explanation:

20/5 = 5/1

so the answer is c

4 0
3 years ago
Read 2 more answers
Multiply: –3.2 × (–13) × 6.
PIT_PIT [208]

Answer:

249.6

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
There are 752 cal in 8 ounces of a certain ice cream how many calories are there in 2 pounds
Irina18 [472]
So, 8 ounces is equivalent to .5 pounds. Therefore, 32 ounces is equivalent to 2 pounds. Or, there are 4 8ounce measurements to get to 2 pounds.

752 calories * 4 = 3008 calories in 2 pounds of ice cream.
4 0
2 years ago
Other questions:
  • If CDEF ≅ MNPQ, then EF≅ _____
    5·1 answer
  • Jerry weighs 95 pounds. This is 15 pounds less than Mikey weighs. How much does Mikey weigh? *
    9·2 answers
  • One exterior angle of a regular pentagon has a measure of (2x) what is the value of x
    6·2 answers
  • Sam makes some bread rolls. He gives 2/5 of the bread to his neighbor and 4/9 of the remainder to his cousin. He has 15 tools le
    6·1 answer
  • -8(2y + 3) is equivalent to 8(-2y - 3)<br> False<br> True
    10·2 answers
  • 19) A submarine ascended from 56.8 meters under the sea level to 27.4 meters under the sea level.
    13·1 answer
  • What is the slope of the line?
    8·2 answers
  • Wren wants to build a box to organize her scrapbook supplies. She has a stencil set that is 12 inches wide that needs to lay fla
    6·2 answers
  • Some instructions for the time it takes to roast a turkey are: allow 20 minutes for every 450g
    8·1 answer
  • The mode is the
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!