All categories

3 years ago

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

Where can the perpendicular bisectors of an acute triangle intersect?

lilavasa [31]

The answer is A. I only

8 0

4 years ago

Read 2 more answers

3. Which graph best represents the solution to the following system? (1 point)<br> (5x – 2y <10

Step2247 [10]

Answer:

The graph in the attached figure

Step-by-step explanation:

The complete question is

Which graph best represents the solution to the following system?

5x - 2y < (less than or equal to) 10

x + y < 5

we have

$5x-2y\leq 10$ ----> inequality A

isolate the variable y

Adds 2y both sides

$5x \leq 10+2y$

Subtract 10 both sides

$5x-10 \leq 2y$

Divide by 2 both sides

$2.5x-5 \leq y$

Rewrite

$y \geq 2.5x-5$

The solution of the inequality A is the shaded area above the solid line

The equation of the solid line is $y=2.5x-5$

The slope of the solid line is positive $m=2.5$

The y-intercept of the solid line is (0,-5)

The x-intercept of the solid line is (2,0)

$x+y < 5$ -----> inequality B

Isolate the variable y

Subtract x both sides

$y < -x+5$

The solution of the inequality B is the shaded area below the dashed line

The equation of the dashed line is $y=-x+5$

The slope of the dashed line is negative $m=-1$

The y-intercept of the dashed line is (0,5)

The x-intercept of the dashed line is (5,0)

using a graphing tool

The solution of the system of inequalities is the shaded area between the solid line and the dashed line

see the attached figure

7 0

3 years ago

WILL GIVE BRIANLEST!!!!!!!!

Elenna [48]

Answer:

3ft * 8ft

Step-by-step explanation:

The base of the pyramid is the rectangle, and the rectangle has the dimensions of 3ft * 8ft.

7 0

2 years ago

Read 2 more answers

to make hummingbird nectar you must use 4 cups of water and 1 cup of sugar. what is the ratio of water to sugar

Nutka1998 [239]

Your ratio is 4:1 because it takes 4 cups of water for every cup of sugar.

6 0

3 years ago

If f(x)= 3x squares +1 and g(x) =1-x what is the value of (f-g)(2)

ZanzabumX [31]

Answer: (f-g)(2)=14

Step-by-step explanation:

(f – g) (-2) means the same as subtracting f(2) and g(2). Since we are given f(x) and g(x), we can use them to solve. There are two ways to solve. One is to find f(2) and g(2), and then subtract them. Another way is to do (f-g)(x), then plug in x=2. I will show both methods.

Method 1

f(2)=3(2)²+1 [exponent]

f(2)=3(4)+1 [multiply]

f(2)=12+1 [add]

f(2)=13

g(2)=1-(2) [subtract]

g(2)=-1

(f-g)(2)=13-(-1) [subtract f(2) and g(2)]

(f-g)(2)=14

--------------------------------------------------------------------------------------------------------

Method 2

(f-g)(x)=3x²+1-(1-x) [distribute -1]

(f-g)(x)=3x²+1-1+x [combine like terms]

(f-g)(x)=3x²+x

(f-g)(2)=3(2)²+2 [plug in x=2, exponent]

(f-g)(2)=3(4)+2 [multiply]

(f-g)(2)=12+2 [add]

(f-g)(2)=14

--------------------------------------------------------------------------------------------------------

Now, we know that (f-g)(2)=14. We confirmed this with both methods.

8 0

4 years ago