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
vlabodo [156]
3 years ago
14

Given triangle PRS is congruent to triangle CFH, find the values of x, y, and z.

Mathematics
1 answer:
Mashutka [201]3 years ago
7 0

Answer:

x = 23

y = 7

z = 11

Step-by-step explanation:

Since ∆PRS ≅ ∆CFH, therefore,

m<R = m<F

13y - 1 = 90° (substitution)

Add 1 to both sides

13y - 1 + 1 = 90 + 1

13y = 91

Divide both sides by 13

13y/13 = 91/13

y = 7

Since ∆PRS ≅ ∆CFH, therefore,

PS = CH

2x - 7 = 39 (substitution)

Add 7 to both sides

2x - 7 + 7 = 39 + 7

2x = 46

Divide both sides by 2

2x/2 = 46/2

x = 23

Since ∆PRS ≅ ∆CFH, therefore,

m<S = m<H

Find m<S

m<S = 180 - (m<P + m<R) (sum of ∆)

m<S = 180 - (28 + (13y - 1)) (substitution)

Plug in the value of y

m<S = 180 - (28 + (13)(7) - 1))

m<S = 180 - (28 + 91 - 1)

m<S = 180 - 118

m<S = 62°

Therefore, since m<S = m<H,

62° = 6z - 4 (substitution)

Add 4 to both sides

62 + 4 = 6z - 4 + 4

66 = 6z

Divide both sides by 6

66/6 = 6z/6

11 = z

You might be interested in
Simplify the expression (x^19 y^21)^4/(x^2 y^6)^2<br><br> The simplified expression is ________.
Masja [62]
I got x^72y^72 i hope this helps

3 0
3 years ago
Read 2 more answers
10 points!!! Please help I’m stuck on this question.
kakasveta [241]

Answer:

9m^2+17m-9

Step-by-step explanation:

4 0
3 years ago
3 + x = 9 solve for x
Lerok [7]
X is equal to 6
3+6=9
X=6
4 0
2 years ago
Read 2 more answers
Jerry deposited 20,000 on an investment that will give 1,750 for every year that his money stays in the account. How much money
lesya692 [45]

Answer:

$34,000

Step-by-step explanation:

Jerry will get $1,750 for every year that his money stays in the account thus for 8 years he will get:

8*1,750 = $14,000

Together with the deposited money:

$20,000 + $14,000 = $34,000

By the end of year 8 there will be $34,000 of Jerry's account.

3 0
2 years ago
I don't understand the first one.
lyudmila [28]
Basically the question is asking if the proportions for the dimensions of the 2 rugs are the same, so in this case yes, since 6 X 8 can be written as 3 X 4 which if you set up a fraction you can easily multiply both the top and bottom number by 3 to get 9 X 12.
6 0
3 years ago
Read 2 more answers
Other questions:
  • A triangle has a base of 5 centimeters and a height of 8 centimeters.
    14·2 answers
  • ***urgent***
    11·1 answer
  • Jen goes to a carnival with $25.00 to spend.
    13·1 answer
  • 50/22 rounded to the hundredth
    14·1 answer
  • Can you help me with this question? Please.
    10·1 answer
  • GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a m
    6·1 answer
  • The length of a rectangle is
    9·1 answer
  • The different building has office space for rent that does not require a one-time fee, but you must pay rent of $1000 per month.
    15·1 answer
  • What is the square root of 9
    14·2 answers
  • Which monomial is a perfect cube?<br><br> 49p9q3r24<br> 81p12q15r12<br> 121p9q3r6<br> 343p6q21r6
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!