Complete the table below. If it is possible to work out the measure of the angle, write it down and show your method. If it is not possible, explain how you know.

Angle: W X Y Z

Is it possible to find the measure of the angle? If so, what is it?

Explain carefully how you decided.

Complete The Table Below. If It Is Possible To Work Out The Measure Of The Angle, Write It Down And Show

Answers

Answer 1

Answer:

w = 70°

x = 70°

y = 40°

z = 40°

Step-by-step explanation:

Notice that two sides of the figure are parallel to each other according to the arrow marking on both sides. This means that by definition this figure must be a parallelogram. This also means that the two other sides must be parallel as well so that there are also two sets of parallel sides.

There is also a transversal (line that cuts across two lines) of which are parallel, this forms different angles which are corresponding, alternate interior, alternate exterior, and supplementary.

70° at <BDC and w are alternate interior which means that they must be the same measure.

Therefore

w = 70°.

Since a parallelogram consists of 2 equal triangles, and we know that two angles are both 70° given that w is 70°, all interior angles must add up to 180° according to the triangle angle sum theorem. So 70° + 70° + y° = 180°.

140° + y° = 180°

–140° –140

Therefore

y = 40°.

Since angle x is exterior and adjacent of (next to) the two interior angles (70° and y), they are supplementary pairs which means that they add up to 180°, because they form a straight line.

Knowing that y is 40°,

x° + 40° + 70° = 180°.

x° + 110° = 180°

–110 –110

Therefore

x = 70°.

Now since angle z is alternate interior of angle y, alternate interior angles have the same measure by definition.

Given that we already know the measure of y = 40°. z must also be 40°

Therefore

z = 40°.

Answer 2

Answer:

∠W = 70°

∠X = 70°

∠Y = 40°

∠Z = 40°

Step-by-step explanation:

∠W = 70°      because they are alternate interior angles

∠Y = 180° - 70° + 70° = 40°       because all the interior angles of a triangle add up to 180°

∠X = 180° - 70° - ∠Y = 70°

∠Z = ∠Y + ∠70° - ∠W = 40°


Related Questions

Please help and give right answers please!

Answers

Answer:

7

Step-by-step explanation:

x * x = 7x

7 x 7 = 7 x 7

49 = 49

so if x is 7, the equation is true...

I need help with this thank you i will give branliest

Answers

Answer:

A

Step-by-step explanation:

Answer:

option A is correct

Step-by-step explanation:

because angle 1 and angle 5 are not equal

PLZ HELP I WILL GIVE BRAINLIST IF YOU ANSWER ALL OF THE QUESTIONS

Answers

90 29 52 48 18 20 45 13 51 37 64 (:
May u please have brainlist

How far is the elephant away from the grass in the following graph?
A. 4 units
B. 5 units
C. 6 units
D. 7 units

Answers

The elephant is 7 units away from the grass in the graph
The elephant is 7 units

What is the area. Also if you can explain that would be great. ​

Answers

Answer:

11m^2

Step-by-step explanation:

So first it would probably help to split it into different shapes. then you find the area of those shapes and add them.  

36 + 45 + 30 = 111 m^2

The area would be 111m^2.
First I broke the figure into three pieces and I did 12x5 which is 60, then 10x3 which is 30. Add them together and get 90. Lastly, 7x3 is 21 so add 21+90 and this gets you the area of 111m.

PLEASE HELP I BEG OF YOU
( f + g ) ( x ) = 3^x + 10 x + 5 x - 3

Answers

Answer:

-5x+3

Step-by-step explanation:

If f(x) = 3x

+ 10x and g(x) = 5x – 3, find (f – g)(x).

A. 18x – 3

B. 3

x

+ 5x + 3

C. 3

x

+ 15x – 3

D. 3

x

– 5x + 3

Answer would be -5x+10 I believe

A ball is thrown from an initial height of 6 feet with an initial upward velocity of 17 ft/s. The ball's height h (in feet) after t seconds is given by the following.


h=6+17t-16t^2


Find all values of t for which the ball's height is 10 feet.


Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
t=___seconds

Answers

Answer:

6 + 29t - 16t^2 = 18

16t^2 - 29t + 12 = 0

t = (29 +- √(29^2 - 4*12*16))/32

t = (29 +- √73)/32

t  = 0.639249882958827, 1.1732501170411

Step-by-step explanation:

The values of t for which the ball's height is 10 feet are approximately 0.71 seconds or 0.35 seconds

The given equation for the height of the ball is a quadratic equation, which is solved using the quadratic formula to find the values of t.

The quadrature formula for ax² + bx + c = 0 is:

[tex]x = \frac{-b \pm \sqrt{(b^2- 4ac)}}{2a}[/tex]

Given that,

The initial height of the ball: 6 feet

The initial upward velocity of the ball: 17 ft/s

The equation for the ball's height after t seconds: h = 6 + 17t - 16t²

The goal is to find the values of t for which the ball's height is 10 feet.

To find the values of t when the ball's height is 10 feet,

Set the equation h = 10 and solve for t.

Plugging in the given equation h = 6 + 17t - 16t²

And substituting h with 10, we get:

10 = 6 + 17t - 16t²

Rearrange the equation to solve for t.

16t² - 17t + 4 = 0

To find the values of t, we can use the quadratic formula:

In this case,

a = 16,

b = -17, and

c = 4.

Plugging these values into the quadratic formula, we get:

[tex]t = \frac{17 \pm \sqrt{((-17)^2- 4 \times 16 \times 4)}}{2 \times 16}[/tex]

Simplifying this equation, we have:

[tex]t = \frac{(17 \pm \sqrt{(289 - 256)}}{32}[/tex]

[tex]t = \frac{(17 \pm \sqrt{33})}{32}[/tex]

t ≈ 0.710 or 0.351

Hence,

Rounding to the nearest hundredth, we get two possible values for t:

t ≈ 0.71 seconds or 0.35 seconds

To learn more about quadratic equations visit:

https://brainly.com/question/30098550

#SPJ4

If you can help me with this exercise please?

Answers

Answer:

The volume of each prism is 21 1/4

I need help plzz.

Dilate this by 1/3

Answers

For this shape there are four points. The plotted ordered pairs are:
M = (3, 9)
N = (6, 0)
O = (3, 6)
P = (-3, 0)

All you have to do is multiply the BOTH x- and y-values by 1/3 on EACH ordered pair. And if it’s easier, you can divide by 3 as well. It’s the same thing.

M = (3, 9) = (3*1/3, 9*1/3) = (1, 3)
N = (6, 0) = (6*1/3, 0*1/3) = (2, 0)
O = (3, 6) = (3*1/3, 6*1/3) = (1, 2)
P = (-3, 0) = (-3*1/3, 0*1/3) = (-1, 0)

(1, 3) , (2, 0) , (1, 2) , and (-1, 0) are your points.

He is right math is not really my strong suit

A conical tank holds about 549.5 cubic feet of water. The tank is 21 feet tall. What is the radius of the tank? Use 3.14 for π.
A. 5
B. 10
C. 15
D. 20

Answers

it is d because it’s ez

please help, i really need help

Answers

It is a rotation and a reflection. It is reflecting across the y axis and is then rotated.

How do you subtract mixed numbers?

Answers

You make the mixed number an improper fraction, then, if not already, make the two improper fractions have common denominators, then you subtract thresh two numerators to get your answer


For Example:

2 1/3 - 2 1/6 =

7/3 - 13/6 =

14/6 - 13/6 = 1/6

Answer:

Step-by-step explanation:

lets take 2[tex]\frac{2}{5}[/tex] - 1[tex]\frac{3}{10}[/tex]

you have to convert 2 into [tex]\frac{10}{5}[/tex] so it would be [tex]\frac{12}{5}[/tex]

you also have to convert 1 into [tex]\frac{10}{10}[/tex] so it would be [tex]\frac{13}{10}[/tex]

since the denominators and different were ganna have to make them the same by mutiplying

you can easily do 5x2 to get 10

since you multiplied by 2 on the bottom do it on the top and you will get [tex]\frac{24}{10}[/tex]

now subtract them [tex]\frac{24}{10}[/tex]-[tex]\frac{13}{10}[/tex]=[tex]\frac{11}{10}[/tex]

24-13=11 but you need to simplify it and make it [tex]1\frac{1}{10}[/tex]

help me pls i really need it and i will lov u forever and mark brainliest<3

Answers

Answer:

i would think false- sorry if it's not correct :/

Step-by-step explanation:

HELP PLS I GIVE BRAINLIEST ILL REPORT IF YOU USE ME FOR POINTS

Answers

Answer:

1. x less than or equal to 1/3

2. x is less than 1

3. x is greater than 6

4. x is less than -2

Step-by-step explanation:

1) keep your sign the same x 1/3
2)x<1
3)x>6
4)x<-2

What inequality does the red graph show?

Answers

x>2 (put a line below the greater than sign, it won't let me do it cause i'm on phone)
X>2 because yeah and also because it is

The foundation for a new building at the high school is rectangular in shape. The area of the foundation is 5x^3 + 4x^2 - 10x - 8 square meters. If the width equals (x^2 - 2) meters. What is the length of the rectangular foundation?

Answers

We should divide x^2-2 from the equation.

I will spare you from the boring steps of equation dividing.

Now getting 5x+4

Just do this like you are doing long division but instead using variables, be careful there is no x term in the second expression so you have to give it an empty space :)

Hi can you pls answer this is due in a bit i will give brainiest and 5 points,

Answers

You need to divide the numbers.

Answer:

9.) 3.4 10.) 0.26 11.) 4.5 12.) 4.95

Step-by-step explanation:

A water well drilling rig has dug to a height of -40 feet after one full day of continuous use.

Assuming the rig drilled at a constant rate, what was the height of the drill after 15 hours?

Answers

Answer:

-65 or -67

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST!!

Answers

Answer:

2

Hope it helps!

blob

Step-by-step explanation:

Fifteen is % of 120.
Thirty-five percent of 160 is .
Forty-eight is % of 60.
Eleven is 20% of .


Match the terms to their definition.

1. expression. a phrase that represents a mathematical relationship
2. equation a statement that two expressions are equal

Answers

Answer:

15 is 12.5% of 120

35% of 160 is 56

48 is 80%of 60

11 is 20% of 55

1.Equation- a statement that two expressions are equal.

2.Expression- a phrase that represents a mathematical relationship

Step-by-step explanation:

Hope this helps! Sorry if any are wrong!

No not wrong ans because I have double checked

IM STRUGGLING SO BAD HELP ;-; Find the area of the shaded region. Use 3.14 for n.
2 yd
2 yd
3 yd
6 yd
-8 yd —
sydd syd
Syd →

Answers

Answer:

57.74‬ yd²

Step-by-step explanation:

First, find the area of the "rectangle" as if there weren't different figure cut out of it:

(5+6+5)8

16(8)

128 yd²

Next, we are going to find the area of the four figures that are cut out from the rectangle. The circle at the bottom, the rectangle at the top, and the triangles on each side.

The first shape we can tackle will be the circle. The formula for finding the area of a circle is π or in this case 3.14r². The diameter of the circle is 6 yards, and half of the diameter is equal to the radius which gives us 3 yards as the length. Now simplify the expression:

3.14(3)²

3.14(9)

28.26 yd² is the area of the circle.

Next, we're going to find the area of the rectangle at the top. It's dimensions are 6 yards by 3 yards, which gives us an easy 18 yards² as the area (lxw).

Now we're going to solve for the area of the triangles. By the looks of the general dimensions of this shape, I am assuming these triangles are  congruent to each other, which means we will only have to solve for its area once. To find the area of a triangle we have to use the expression: (lxw)/2. However, we don't know one of those dimensions. We know that the length is 8 yards as shown in the diagram, and by using the widths 2 yards and 5 yards, and their relation to the triangle, we can deduce the width is 3 yards. Now we have values necessary to simplify the expression:

(8x3)/2

24/2

12 yards² is the area of one triangle.

Because I stated previously that the triangles are congruent, they both have an area of 12 yards. Now we add the areas of each of the four figures, and subtract them from the area of our large rectangle:

128-(12+12+28.26+18)

128-70.26

57.74‬ yd² is the area of the shaded region

What is 2.7% of 197,000? (Please have equation included)

Answers

Answer:

5319

Step-by-step explanation:

2.7%=0.027

0.027*197000

27*197

5319

help please! screenshot shows the problem

Answers

I’m pretty sure the answer is A
In my opinion it’s A

How many place values follow the decimal point in the problem below?
2.01 x 4.1

Answers

Answer:

3

Step-by-step explanation:

There are 3 digits behind the decimal all together

Three place values because you add both of them up

MATH SMARTIES HELP ME PLEASE AND SEE IF I"M CORRECT AND PLEASE BE HONEST AND IF I AM NOT CORRECT CAN YOU TELL ME THE CORRECT ANSWER PLEASE

Answers

Answer:

Step-by-step explanation:

There are only two even numbers greater than 4, 6 and 8 specifically and there are a total of 8 numbers on the spinner so

P(E>4)=2/8=1/4

The answer is option C.

because, there are 8 parts in the spinning wheel. which mean the bottom part is gonna be 8. its not 7 because, the closer number is 1. so that means the answer is option D. but if you simply it you'll get 1/4.

sorry if wrong.

Pls help ASAP need help pls

Answers

Answer:

5. The raange Is 16

and the IQR is 1

6. Option 3. (C)

Step-by-step explanation:

5. iqr=1, range=16
6. c, about half of the packages weigh 6 to 10 pounds. these are close to the median weight of 7 pounds

will give brainliest

Answers

Answer:

88 square inches

I hope this helped :))

Yeah it’s 88 square inches

Answer this question please and thank you

Answers

Step-by-step explanation:

0.116+7.810=7.926

7+1=8

0.116 -------> 0

+ 7.81 --------> 8

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

7.926 -------> 8

PLZ HELP I WILL GIVE BRAINLIST IF YOU ANSWER ALL OF THE QUESTIONS

Answers

Answer:

a)x=1

b)(1,-9)

c)(-2,0) & (4,0)

d)(0,-8)

Step-by-step explanation:

Goodness, I have nothing to do, so here we go:

a)x=1

b)(1,-9)

c)(-2,0) & (4,0)

d)(0,-8)

P.S. Eternalvanimelda27 is my sister, so we have the same answer, but pls give me brainliest I answered earlier.

please help will give brainiest if right

Answers

Answers C & E would be the correct survey.

Answer:

C. and E.

Step-by-step explanation:

Those options are the only ones that have 7th grade STUDENTS in them. In other words, the other options have other grades and teachers which are not what is necessary for this problem.

Have a good day and good luck!

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