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
Rus_ich [418]
3 years ago
9

SOMEONE PLZZZ HELP ME THIS IS DUE IN LIKE 5 MINS (I WILL MARK BRAINLIEST)

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0

Answer:

1) x = 8

2) ∠RPS = 36°

Step-by-step explanation:

<u>GIVEN :-</u>

  • ∠QPS = 180°
  • ∠QPR = 7x + 88
  • ∠RPS = 3x + 12

<u>TO FIND :-</u>

  1. Value of x
  2. Measure of ∠RPS

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.

<u>PROCEDURE :-</u>

1)

Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.

⇒ ∠QPR & ∠RPS are linear pair.

⇒ ∠QPR + ∠RPS = 180°

⇒ 7x + 88 + 3x + 12 = 180°

⇒ 10x + 100 = 180

⇒ 10x = 180 - 100 = 80

⇒ x = 80/10 = 8

2)

x = 8. So,

∠RPS = 3×8 + 12 = 24 + 12 = 36°

You might be interested in
Select the correct answer from each drop-down menu.
sdas [7]

Answer:

see below

Step-by-step explanation:

12 banana muffins, 10 chocolate muffins, 6 blueberry muffins, and 7 vanilla muffins.

The total number of muffins is 35 muffins

P(vanilla) = number of vanilla/ total

               = 7/35

               = 1/5

This is not likely to occur so it is an unlikely event

3 0
3 years ago
Read 2 more answers
Determine (a) the slope of the line parallel to the line whose slope is m=2 and (b) the slope of the line perpendicular to the l
kotykmax [81]

Answer:

(b) \displaystyle -\frac{1}{2} = m

(a) \displaystyle 2 = m

Step-by-step explanation:

Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], whereas Parallel Lines have SIMILAR <em>RATE OF CHANGES</em> [SLOPES].

I am joyous to assist you anytime.

7 0
3 years ago
A triangle has a base of 4/5 of a yard and a height of 2/3 of a yard. What is the area of this triangle?
Elena-2011 [213]

Answer:

8/15

Step-by-step explanation:

4/5 times 2/3

4 0
3 years ago
Gavin and Caleb go to the movie theater and purchase refreshments for their friends. Gavin spends a total of $22.25 on 2 bags of
gavmur [86]

Answer:

Drinks = 6.75

Popcorn= 1

Step-by-step explanation:

Let the popcorn = P

Let the drink = D

2*P + 3*D = 22.25         multiply this equation by 6

12*P + 4D = 39.00

<u>12P + 18D = 133.5</u>          Subtract these two equations

- 14D = - 94.50               Divide by -14

-14D/-14 = -94.5/-14        Do the division

D = 6.75

=========================

12P  +  4D = 39            Substitute for D

12P + 4*6.75 = 39        Combine

12P + 27 = 39               Subtract 27 from both sides

12P + 27-27=39-27      Collect like terms

12P = 12                        Divide by 12

12P/12 = 12/12

P = 1                               Answer

8 0
3 years ago
Read 2 more answers
What are the four major categories of securities? How are they evaluated?
Xelga [282]

Answer:

Cash, Bonds, Stocks and Mutual funds

Step-by-step explanation:

The four major categories of securities are:  

  1. Cash
  2. Bonds
  3. Stocks
  4. Mutual funds

These 4  major categories are evaluated as given below:  

  • Cash: Cash is your normal money. You can use it to buy your everyday goods and services or invest in cash in various asset classes.
  • Bonds: Bond is debt instrument and bonds are the agreement of debt. and bonds carry coupon rate that is (interest equivalent), tenure and final capital repayment
  • Stocks: Ownership of stock in a company. A group (or a single) share of any company is called stock. Stock means you have some stake in the company.
  • Mutual Funds: A mutual fund is an asset basket that can hold cash, bonds, stocks, real estate, and so on. The type and structure of mutual funds will vary depending on the client's choice of the fund manager and the category of the category
5 0
3 years ago
Other questions:
  • Which best describes the range of the function f(x)=2/3(6)^x after it's been reflected over the x-axis
    15·1 answer
  • 2(x-3)=7x-31<br><br> 3x-2 (x+5)=-3+18<br><br> Please show your work
    13·1 answer
  • What is 1/2+2/5 what is the answer of this question
    11·2 answers
  • Can someone help me out with this
    10·2 answers
  • Please help me&lt;3 &lt;3 &lt;3 &lt;3 &lt;3
    6·1 answer
  • Use special right triangle find the exact value of x. <br> X=?
    13·1 answer
  • A radio station had 228 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. How many tick
    8·1 answer
  • URGENTT!!!!!!!
    6·1 answer
  • Calculate m∠ABC and m∠CBD, what is the value of x?<br><br> Enter your answer in the box.
    8·2 answers
  • PLEASE ANSWER -( 1 - 6n )
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!