Mathematics High School

9.5) ifm Z WZY - 100º and mZ WXY = 50°, calculate m ZWX. Justify your work with properties or definitions. Note: figure may not be drawn to scale. I​

9.5) Ifm Z WZY - 100 And MZ WXY = 50, Calculate M ZWX. Justify Your Work With Properties Or Definitions.

Answers

Answer 1

Answer:

m∠ZWX = 105°

Step-by-step explanation:

Properties of a kite,

1). One diagonal of a kite bisects at least one pair of opposite angles.

2). Diagonals of a kite kite are perpendicular to each other.

In ΔWTZ,

m∠WZT = [tex]\frac{1}{2}(m\angle WZY)[/tex]

              = [tex]\frac{1}{2}(100)[/tex]

              = 50°

m∠WTZ = 90° [By second property]

m∠WZT + m∠WTZ + m∠ZWT = 180°

50° + 90° + m∠ZWT = 180°

m∠ZWT = 180° - 140°

              = 40°

Similarly, in ΔWTX,

[tex]m(\angle WXT)=\frac{1}{2}(m\angle WXY)[/tex]

m(∠WXT) = [tex]\frac{1}{2}(50)[/tex]

                = 25°

m(∠WTX) = 90°

m∠WTX + m∠WXT + m∠TWX = 180°

90° + 25° + m∠TWX = 180°

m∠TWX = 180° - 115°

              = 65°

Since, m∠ZWX = m∠ZWT + m∠TWX

Therefore, m∠ZWX = 40° + 65°

                                 = 105°

Related Questions

Question 22 of 43
A circle is sliced into 16 pieces and rearranged into a shape that looks like a
parallelogram. The dashed line indicates the base of the shape. Which
statement is correct?
A. The base of the parallelogram is approximately equal to the radius
of the circle
O B. The base of the parallelogram is approximately equal to the
circumference of the circle,
C. The base of the parallelogram is approximately equal to the
diameter of the circle.
D. The base of the parallelogram is approximately equal to half the
circumference of the circle.

Answers

Answer: D. Half of the Circumference

Step-by-step explanation:

I just got it right on my quiz so its ap3x approved.

The answer is option D.The base of the parallelogram is approximately equal to half the circumference of the circle.

What is a circle?

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

Given that:-

A circle is sliced into 16 pieces and rearranged into a shape that looks like a parallelogram.

When the circle is sliced into 16 pieces and rearranged into a shape that looks like a parallelogram. the base of the parallelogram is approximately equal to half the circumference of the circle

To know more about circles follow

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Plz help me giving brainliest

Answers

Answer:

A. 80

Step-by-step explanation:

Count the first top half and you get 40 and you will know the bottom half is 40

which altogether is 80 or you can count the blocks one by one or count the blocks on the right side count the top blocks by five across.

V= l*w*h

V= 5*4*4

V= 80

Hope this Helps! :)

Have a nice day! :)

8g - 24d please help!

Answers

Answer:

-16

Step-by-step explanation:

if 5/7y=105,what is the value of y​

Answers

Answer:

look at the picture i sent......

In how many ways can 12 math students be seated at a round table?

A. 479,001,600
B. 39,916,800
C. 144

Answers

Answer:

479,001,600

Step-by-step explanation:

The first seat could be any of the 12

the second seat could be any of the remaining 11

and so on

12!

12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

479,001,600

the answer would be 479,001,600

Find the value of x. 30,45,x,100; The median is 51.

Answers

Answer:

49

Step-by-step explanation:

a dog is leashed to the corner of a house. how much running area does the dog have? 40 ft

Answers

Answer:

5027.2ft^2

Step-by-step explanation:

Given data

Radius= 40ft

The expression for the area covered is given as

A= πr^2

Substitute

A= 3.142*40^2

A=3.142*1600

A=5027.2ft^2

Hence the area covered is 5027.2ft^2

Select at the tru statements about this graph

Answers

Answer: a,e

Step-by-step explanation:

ASAP
-will mark brianist

Answers

Answer:

20-12

35-21

40-24

Step-by-step explanation:

You times both numbers by the same value

Answer:

1st is 12

2nd is 35

3rd is 40

Step-by-step explanation:

Find the length DE. Round your answer to the nearest tenth of a meter

Answers

Answer:

10.7 m

Step-by-step explanation:

Help me plssssssssssss.

Answers

Answer:

5

Step-by-step explanation:

5———————————————————-

3. For g(x)=5 and h(x)=2x, find lim (g(x)*h(x))

4. Find G(x)= X-10 And H(x)= 2x, Find ) G(x) = X-10 H(x) = 2x, Lim Lim C-3 C-2 2

Answers

Answer:

3. B 10a

4. D 3

Step-by-step explanation:

the value of function lim (g(x)*h(x)) will be 10 a.

What is Function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given, For g(x)=5 and h(x)=2x

[tex]\lim_{x \to \ a }(g(x)*h(x))[/tex]

=> lim (5 * 2x)

=> lim 10x

=> 10a

for  G(x)= X-10 And H(x)= 2x,

g(x)/ h(x) = (x - 10)/2x

[tex]\lim_{x \to \ -2} g(x)/ h(x)[/tex]

=> (-2- 10)/-4

=> 3

therefore, the value of function lim (g(x)*h(x)) will be 10 a.

Learn more about function here:

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how would u read the expression 2*3​

Answers

it is 2 multiplied by 3

7/9
×
3/7
just need help

Answers

Answer:

Let me hep you then :)

Step-by-step explanation:

7/9 x 3/7 = 1/3 or 0.3

Have a nice day <3

Answer:

Fraction Form = 1/3

Decimal Form= 0.3 repeating or just 0.3

Step-by-step explanation:

Heres a free Quote  for you- “Believe you can and you're halfway there.”

Zoey made 6 3/4 of fruit salad for a picnic. At the picnic, they ate 1/3 of the fruit salad. How much fruit salad did they eat?

Answers

Answer:

[tex]4\frac{1}{2}[/tex] of fruit salad

Step-by-step explanation:

Answer:

2 1/4

Step-by-step explanation:

6 3/4 = 21 / 4

27 /3 x 4 =

9 / 4 =

2 1/4

PLEASE HELP ASAP

answer has to be in simplest radical form

find s

Answers

Answer:

s = 6√3

Step-by-step explanation:

We can recognize that the triangle in the image is a special 30 - 60 - 90 triangle. In a 30 - 60 - 90 triangle, the leg opposite the 60 degree angle, s,  is √3 times the leg opposite the 30 degree angle, in this case 6m. We can write an equation to model the situation:

s = 6 * √3

s = 6√3

The temperature in Michigan one night was -12°F. By
morning the temperature rose 8°F. What was the
temperature that morning?

Answers

The morning the temp was -4 degrees F

Answer:

-4 degrees F

Step-by-step explanation: So the temperature was -12F add 8F that gets you to -4F. It rose 8F.

In the diagram below of triangle NOPNOP, QQ is the midpoint of \overline{NP}
NP
and RR is the midpoint of \overline{OP}
OP
. If m\angle PON=-5x+171∠PON=−5x+171, and m\angle PRQ=-9x+207∠PRQ=−9x+207, what is the measure of \angle PON∠PON?
N

Answers

Answer:

126 degrees

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+174x+78
equation

Answers

Answer:

551.06feet

Step-by-step explanation:

Given the equation

y=-16x^2+174x+78

At maximum height, dy/dx = 0

dy/dx = -32x + 174

0 = -32x+174

32x = 174

x = 174/32

x = 5.4375

GEt the maximum height

y=-16x^2+174x+78

y=-16(5.4375)^2+174(5.4375)+78

y = -473.0625 + 946.125 + 78

y = 551.0625

Hence the maximum height is 551.06feet to the nearest hundredth

Select the correct answer. Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition? A. 0 B. 1 C. 2 D. 4 E. infinitely many

Answers

Answer:

2

Step-by-step explanation:

Please Help Quick ASAP Hurry
What is the approximate volume of the cone? Use 3.14 for π.
A. 848 cm 3
B. 1272 cm 3
C. 3815 cm 3
D. 6359 cm 3

Answers

Answer: B. 1272 cm 3

What are factors of 72 that add to be -18?

Answers

Answer:

-12 and -6

Step-by-step explanation:

In order to add 1 ⁄ 4 and 2 ⁄ 5, the denominators have to be the same. This means multiplying both the numerator and denominator of each fraction by the opposite fraction's denominator.

1 ⁄ 4 + 2 ⁄ 5

( 1 ⁄ 4 × 5 ⁄ 5 ) + ( 2 ⁄ 5 × 4 ⁄ 4 )

(1 × 5)/(4 × 5) + (2 × 4)/(5 × 4)

5 ⁄ 20 + 8 ⁄ 20 = 13 ⁄ 20

1/3 + 3/8 =

Answers

Answer:

1/3 + 3/8 = 17/24

Step-by-step explanation:

LCD is 24

3*8 = 24

8*3 = 24

3/24 + 9/24 = 17/24

The base area of a triangular pyramid is 22 square yards and the height of the pyramid is 15 yards. What is the volume of the triangular pyramid

Answers

Answer:

110 yards^3

Step-by-step explanation:

volume of a  triangular pyramid=  1/3 area x height

1/3 x (22) x 15 = 110 yd^3

Wilbur paid $7 for a sandwich. He now has $10. With how much money did he start?

Answers

seventeen dollarsStep-by-step explanation:

Answer: 17 i think

brainliest????

Step-by-step explanation:

Which angles are vertical angles?

Answers

Answer:

∠GFC and EFH

Hope this helps!

What is the sum of 15 and it's addictive inverse

Answers

Answer:

zero

Step-by-step explanation:

the additive inverse of 15 is -15 so the sum is zero

Answer: The sum Is zero, explanation below

Step-by-step explanation:

The Addictive inverse of a number is its opposite so for example the addictive inverse of   12 is -12   or   x is -x so the equation would be

15 + -15

making your answer zero :D

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What is the slope of line 3x - y = 18

Answers

Answer:

ok do 3 times whatever to make 18 so the answer is probly 6y

Step-by-step explanation:

5.6 dividido en 18.8

Answers

Answer:

3.357

Step-by-step explanation:

18.8 / 5.6 = 3.357

solve ABC triangle if b=15, c=13, and A=50
Emergency question!! Please help right now!!

Answers

145 my answer jajanansnananajajaksk. Snsnajnasnsnsnsn s sksksks
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