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
makvit [3.9K]
3 years ago
8

It is known that Ray AP bisects angle CAT. If m<CAT = 5x+17 and m<PAT = 3x-4, then determine the value of x.​

Mathematics
1 answer:
Sonja [21]3 years ago
8 0

Answer:

x = 25

Step-by-step explanation:

It is given that, ray Ray AP bisects angle CAT. It means,

\angle CAT=\angle CAP+\angle PAT

Also, \angle CAP = \angle PAT

It gives, \angle CAT=2\angle PAT

ATQ,

\angle CAT = 5x+17 \ \text{and}\ \text{PAT}=3x-4

So,

5x+17=2(3x-4)\\\\5x+17=6x-8

Taking like terms together,

5x-6x=-8-17\\\\-x=-25\\\\x=25

So, the value of x is 25.

You might be interested in
six times jasons collection of books and one-third of nathans collection add up to 134 books one-third of jasons collection and
atroni [7]
6j + 1/3n = 134...multiply by 3....18j + n = 402
1/3j + n = 31....multiply by 3....j + 3n = 93

the multiplying by 3 is optional...I just did it because it is easier to work with equations when there are no fractions.

18j + n = 402....multiply by -3
j + 3n = 93
----------------
-54j - 3n = - 1206 (result of multiplying by -3)
j + 3n = 93
----------------add
-53j = - 1113
j = -1113/-53
j = 21

j + 3n = 93
21 + 3n = 93
3n = 93 - 21
3n = 72
n = 72/3
n = 24

so Jasons collection (j) consists of 21 books and Nathans collection (n) consists of 24 books

6 0
3 years ago
Helpppp pleaseeee!!!!
dimaraw [331]
I could be wrong but I think you solve for y then graph it then find where the lines intersect. You’re using ed puzzle though so just rewatch the part of the video and you’ll get the answer.
6 0
3 years ago
Read 2 more answers
How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
anyanavicka [17]

Let <em>q</em> be the number of quarts of pure antifreeze that needs to be added to get the desired solution.

8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.

The new solution would have a total volume of 8 + <em>q</em> quarts, and it would contain a total amount of 3.2 + <em>q</em> quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means

(3.2 + <em>q</em>) / (8 + <em>q</em>) = 0.60

Solve for <em>q</em> :

3.2 + <em>q</em> = 0.60 (8 + <em>q</em>)

3.2 + <em>q</em> = 4.8 + 0.6<em>q</em>

0.4<em>q</em> = 1.6

<em>q</em> = 4

4 0
2 years ago
100 POINT QUESTION + BRANLIESt What is 2+2?
Maru [420]

Answer:

4

Step-by-step explanation:

Yeah if you don't know this one... you're... special.

4 0
3 years ago
Read 2 more answers
Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and roun
notka56 [123]

Answer:

1,177.5

Step-by-step explanation:

I have not done this is a while but the formula is v = 3.14 r^2 h

so 3.14 x 5^2 x 15

then 3.14 x 25 x 15

lastly multiply it all to get 1,177.5

Hope this helps <3

3 0
2 years ago
Other questions:
  • What is the verbal phrase for the following expression? 5n
    6·2 answers
  • What is the circumference of a circle with a diameter of 9
    10·2 answers
  • What is the volume of a cone with the given dimensions?<br> Diameter = 14 cm.; Height = 2 cm.
    10·1 answer
  • What is the value of x? y = 3 − 3x
    6·1 answer
  • What is the answer to the equation x^2-6x-16
    10·1 answer
  • PLZZ help me with this I will give brilliantis to whoever gets it right
    8·1 answer
  • 1. Evan does some shopping at a market.
    15·1 answer
  • Please let me know ​
    8·1 answer
  • Find MN <br> Segment addition postulate
    14·1 answer
  • Which is greater 6/11 or 5/9 or are they equal?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!