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
olga55 [171]
3 years ago
15

Point P is the interior of LaTeX: \angle OZQ.\: ∠ O Z Q . If LaTeX: m\:\angle\:OZQ\: m ∠ O Z Q = 125 and LaTeX: m\angle OZP\: m

∠ O Z P =62, what is LaTeX: m\angle PZQ m ∠ P Z Q ?
Mathematics
1 answer:
Tanya [424]3 years ago
4 0

Answer:

<h2>63°</h2>

Step-by-step explanation:

If Point P is the interior of ∠OZQ, then ∠ O Z P +∠ P Z Q = ∠ O Z Q

Given  O Z Q = 125 and m ∠ O Z P =62, to get  ∠ P Z Q, substitute the given angles into the formula above as shown;

∠ O Z P +∠ P Z Q = ∠ O Z Q

62 +<em>∠ P Z Q</em> = 125

subtract 62 from both sides

62 +<em>∠ P Z Q</em> - 62= 125 - 62

<em>∠ P Z Q</em>  = 63°

<em>Hence the angle ∠ P Z Q  is 63°</em>

You might be interested in
A landscaper wants to create a 12-foot-long diagonal path through a rectangular garden. The width of the garden is x feet and th
dolphi86 [110]

Answer:

Width of the rectangle =  6.7 ft

length of the rectangle = 10.7 ft

Step-by-step explanation:

ABCD is the rectangle.

AB = length of the rectangle = 4 + x ft

BC = width of the rectangle = x ft

AC = Diagonal of the rectangular field = 12 ft

Since ΔABC is the Right angle triangle. So

AC^{2} = AB^{2} + BC^{2}

12^{2} = (4 + x)^{2} + x^{2}

144 = x^{2} + 16 + x^{2} + 8 x

144 = 2x^{2} + 8x + 16

x^{2} + 4x -72 = 0

By solving above equation we get

x = 6.7 ft

Thus is the width of the rectangle.

And length of the rectangle = 4 + x

⇒ 4 + 6.7

⇒ 10.7 ft

5 0
3 years ago
Read 2 more answers
Is the statement true or false? If false, give a counterexample.
scoundrel [369]

Answer:

D. false; if a = 1, b = 2, and c = 3, then 1(2 + 3) ≠ 1(2) + 2(3)

Step-by-step explanation:

A is false, because the a is being distributed/ being multiplied to all terms inside the parenthesis, and not the term b.

B is also false. There is no indicated negative signs.

C is also false because 1(1 + 1) is EQUAL to 1(1) + 1(1)

D is true.

6 0
3 years ago
The ratio of 17 and a number as an expression​
Strike441 [17]
Lemme think real quick...
3 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (-10, 9) and (9, 9)
ivanzaharov [21]

Step-by-step explanation:

the answer is on foto

y = 9

7 0
3 years ago
MR BEAN TRIES TO PUSH HIS CAR UP AN 800 YARD SLOPE TO A GAS STATION. IN ONE HOUR HE PUSHES THE CAR 200 YARDS UP THE HILL. THE NE
Annette [7]
Goal= 800 yards.
For every 200 yards he pushes in an hour, he ends up resting and it goes back a 100 yards the next hour after.

so (200-100)+(200-100)+(200-100)+(200-100)+(200-100)+(200-100)+(200).
2 hours + 2 hours + 2 hours + 2 hours + 2 hours + 2 hours + 1 hour = 13 hours.

So it will take 13 hours for Mr. Bean to push up his car up to the gas station.

         
8 0
3 years ago
Read 2 more answers
Other questions:
  • Hello, how can I do this exercise the help is appreciated
    9·1 answer
  • An above-ground pool holds
    9·2 answers
  • HELP. I have tried and tried and I CAN NOT solve these equations!
    12·1 answer
  • Bill, Lucas, Carmen, and Dena go bowling every week. When ordered from highest to lower, how many ways can their scores be arran
    12·1 answer
  • Square root of -16 over (1+i) +(6+3i)
    8·1 answer
  • Pls look at picture and answer
    6·1 answer
  • Please help I’ll mark you as brainliest if correct
    12·2 answers
  • Linear equations <br><br> Show your work<br><br> Solve for x<br><br> x-4/y+2 = 5
    11·1 answer
  • 11. John puts a fence around his rectangular backyard. The width of his backyard is 10 feet. He
    10·1 answer
  • Answer this. pleaaaaseeee
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!