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
Masteriza [31]
3 years ago
8

Point P is in the interior of ∠OZQ. If m∠OZQ = 125° and m∠OZP = 62°, what is m∠PZQ?

Mathematics
2 answers:
Westkost [7]3 years ago
6 0

Answer:

\angle PZQ=63^{\circ}

Step-by-step explanation:

We are given that point P is interior of angle OZQ.

We are given that angle OZQ =125^{\circ}

The measure of angle OZP=62^{\circ}

Angle OZQ=Angle OZP+Angle PZQ

Substitute the values

Then, we get

62+\angle PZQ=125

\Angle PZQ=125-62

Using by subtraction property of equality

\angle PZQ=63^{\circ}

denis-greek [22]3 years ago
4 0
Hehehe idk if true...

You might be interested in
For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range. (2 points)
son4ous [18]

Answer:

2) The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.

Step-by-step explanation:

Look at the photo below for the graph.

:)

8 0
2 years ago
Which graph is an example of a function whose parent graph is of the form y = √x?
Maksim231197 [3]

Answer:

The correct option is 1.

Step-by-step explanation:

The given parent function is

y=\sqrt{x}

1. Domain of the function is all positive real number including 0.

2. Range of the function is all positive real number including 0.

3. It is an increasing function. It increases at decreasing rate.

First graph increase at decreasing rate and it starts from (-4,-1), therefore the required function is

y=\sqrt{x+4}-1

Therefore graph 1 is an example of a function whose parent graph is of the form y = √x.

Second graph is a parabola, so it is the graph of a quadratic function.

Third graph is a rectangular hyperbola, so it is the graph of a rational functions.

Fourth graph is increasing at increasing rate, so it is the graph of an exponential function.

Therefore options 2, 3 and 4 are incorrect.

6 0
3 years ago
Read 2 more answers
What is the GCF of the numerator and denominator in the following fraction? -<img src="https://tex.z-dn.net/?f=%5Cfrac%7B99%7D%7
I am Lyosha [343]

The answer is C: 11.

8 0
3 years ago
If ABCD is an A4 sheet and BCPO is the square, prove that △OCD is an isosceles triangle. And find the angles marked as 1 to 8 wi
Dmitry [639]

Answer:

The diagram for the question is missing, but I found an appropriate diagram fo the question:

Proof:

since OC = CD = 297mm Therefore, Δ OCD is an isoscless triangle

∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

∠DOP = 22.5°

∠PDO = 67.5°

∠ADO = 22.5°

∠AOD = 67.5°

Step-by-step explanation:

Given:

AB = CD = 297 mm

AD = BC = 210 mm

BCPO is a square

∴ BC = OP = CP = OB = 210mm

Solving for OC

OCB is a right anlgled triangle

using Pythagoras theorem

(Hypotenuse)² = Sum of square of the other two sides

(OC)² = (OB)² + (BC)²

(OC)² = 210² + 210²

(OC)² = 44100 + 44100

OC = √(88200

OC = 296.98 = 297

OC = 297mm

An isosceless tringle is a triangle that has two equal sides

Therefore for △OCD

CD = OC = 297mm; Hence, △OCD is an isosceless triangle.

The marked angles are not given in the diagram, but I am assuming it is all the angles other than the 90° angles

Since BC = OB = 210mm

∠BCO = ∠BOC

since sum of angles in a triangle = 180°

∠BCO + ∠BOC + 90 = 180

(∠BCO + ∠BOC) = 180 - 90

(∠BCO + ∠BOC) = 90°

since ∠BCO = ∠BOC

∴  ∠BCO = ∠BOC = 90/2 = 45

∴ ∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

For ΔOPD

Tan\ \theta = \frac{opposite}{adjacent}\\ Tan\ (\angle DOP) = \frac{87}{210} \\(\angle DOP) = Tan^-1(0.414)\\(\angle DOP) = 22.5 ^{\circ}

Note that DP = 297 - 210 = 87mm

∠PDO + ∠DOP + 90 = 180

∠PDO + 22.5 + 90 = 180

∠PDO = 180 - 90 - 22.5

∠PDO = 67.5°

∠ADO = 22.5° (alternate to ∠DOP)

∠AOD = 67.5° (Alternate to ∠PDO)

3 0
3 years ago
the diameter of your bicycle wheel is 34 inches.What is its radius?How far will you move in one turn if your wheel?What is the d
gulaghasi [49]

Answer:

Step-by-step explanation:

The radius of a circle is always half the radius.

Thus, in this case, the radius is (1/2)(34 in) = 17 in.

The "how far" question is answerable by finding the circumference of the wheel.  The circumference, C, is found by calculating C = πd, where d is the diameter of the circle in question.

Here, C = (34 in)π, which comes out to 106.81 inches.  The bike will move 106.81 inches forward if the wheel turns once.

If the wheel turns 5 times, the total distance traveled is 5 times the circumference, or 5(106.81 in) = 534.07 in.

6 0
3 years ago
Other questions:
  • How can a shape be separated into two equal shares?
    11·1 answer
  • Explain how knowing that 5÷8=0.625 helps you write the decimal for 4 5/8
    12·1 answer
  • Solve these equations.<br><br> |x-7|=x-7<br><br> pls help!
    13·1 answer
  • Calculate the perimeter of the rectangle
    7·1 answer
  • Determine if they are similar, congruent or neither
    5·1 answer
  • Write the equation in general form of a line with a slope of 1 and a y-intercept of -1
    12·1 answer
  • 6 times a number x minus 3 is less than 15 <br> what’s the inequalitys
    10·1 answer
  • George is building a fence he builds his fence at a constant rate of 1/3 section of fence every 1/2 hour at this rate what facti
    12·1 answer
  • Simplify 8 over 56 fraction
    12·1 answer
  • A
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!