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
Gwar [14]
4 years ago
15

if ray NP bisects angle MNQ and measure of angle MNQ= 8x + 12 and measure of PNQ= 78 degrees and measure of angle RNM= 3y -9, fi

nd the values of x and y
Mathematics
1 answer:
blsea [12.9K]4 years ago
3 0
(8x+12)+(3y-9)= 8x+3y+3=78

subtract 3 from both sides

8x+3y=78

subtract 8x from both sides

3y=-8x+78

divide both sides by 3

y=-8/3x+26 or y=-2.666666666x+26

substitute for y

8x+3(-8/3)+26=78

subtract the 26 from both sides

8x+3(-8/3)=52

distribute the 3

8x- 7.99999999998=52

add the -7.999999999998 to bother sides

8x=60

divide both sides by 8

x=7.5

substitute for x

8(7.5)+3y=78

60+3y=78

subtract 60 from both sides

3y=18

divide both sides by 3

y=6

so x=7.5 and y=6

You might be interested in
Change 3 radians to degree measures
uysha [10]

<span>π radians =180∘</span>

1 radian = tex] \frac{180°}{ \pi} [/tex]π

3 radians = \frac{540°}{ \pi}

7 0
3 years ago
Read 2 more answers
Aaron’s age is three years less than Devon‘s age the sum of their ages is 31 find each of their ages
Goryan [66]
  • Answer:

<em>Aaron 14 years</em>

<em>Devon 17 years</em>

  • Step-by-step explanation:

<em>D = A + 3</em>

<em>D + A = 31</em>

<em>replace D</em>

<em>A + 3 + A = 31</em>

<em>2A = 31 - 3</em>

<em>2A = 28</em>

<em>A = 14 years</em>

<em>D = 17 years</em>

6 0
3 years ago
The figure shows the path of a track. It consists of a semicircular arc BCD and three sides of a rectangle in which AB = 20 cm,
fredd [130]

\large \mathcal{Answer}

A. Area of given figure = 280 + 77 = 357 cm²

B. length of semicircle = 22 cm

7 0
3 years ago
Kdy se nachazi jmenovatel na zlomku​
pochemuha

Answer:

nooooooo

Step-by-step explanation:

nooooo. vhjggbbb

5 0
3 years ago
USE DISTANECE= RATE * TIME
torisob [31]
A]
D=R×t
d=5.8r
d2=5.1(r+7)
0.7r=35.7
r=51 mi/hr
thus the average speed on the outbound trip would be:
51+7=58 mi/hr

b]
let speed of fishing boat=x km/h
speed of cruise ship=(x+12.5) km/h
distance traveled by fishing boat=11.5×x=11.5x km
distance traveled by cruise ship=(x+12.5)×11=(11x+137.5) km
Total distance covered by the ships:
11.5x+11x+137.5=322
22.5x=322-137.5
22.5x=184.5
thus
x=184.5/22.5
x=8.2 km/h
The speed of fishing boat is 8.2 km/hr





4 0
3 years ago
Read 2 more answers
Other questions:
  • What value of x will make this proportion true 14/x=1/2?
    9·2 answers
  • Use the formula for the total surface area of a cone to solve for the slant height, l.
    8·1 answer
  • PLZ HELP HEART AND 5 STAR
    10·2 answers
  • If you have 27 questions and score 70% how many questions did u miss?
    9·2 answers
  • + 11ab - 10b2
    5·1 answer
  • L (-1,-1)
    11·2 answers
  • The local museum had 10,000 visitors in 1995.
    14·1 answer
  • The Cohens found 8 pairs of shorts with the following prices:
    9·1 answer
  • 4) Answer the question about the verbal situation.
    8·2 answers
  • Find the definition to the match ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!