I REALLY NEED HELP! Please Anyone!?

In the figure, mZRPZ = 95 and TU ||RQ|| VW. Find the measure of angle YSV.

madreJ [45]

Answer:

$m\angle YSV=85^o$

Step-by-step explanation:

The complete question in the attached figure

step 1

Find the measure of angle QPZ

we kno that

$m\angle RPZ+m\angle QPZ=180^o$ ---> by supplementary angles (form a linear pair)

we have

$m\angle RPZ=95^o$ ---> given value

substitute

$95^o+m\angle QPZ=180^o$

$m\angle QPZ=180^o-95^o$

$m\angle QPZ=85^o$

step 2

Find the measure of angle YSV

we know that

When two lines are crossed by another line, Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. If the two lines are parallel then the alternate exterior angles are congruent.

In this problem

The transversal is the line XY

The two parallel lines are RQ and VW

therefore

$m\angle YSV=m\angle QPZ$ ---> by alternate exterior angle

we have

$m\angle QPZ=85^o$

therefore

$m\angle YSV=85^o$

5 0

4 years ago

Match the questions with the correct answers about the given box plot below

tatuchka [14]

Answer:

1. D

2. E

3. B

4. C

5. A

5. F

Step-by-step explanation:

The median can be found at the line inside of the box, the heaviest weight would be found at the right end of the line, and the smallest weight would be found at the left, the interquartile range is the difference of one end of the box to the other, and the range is the difference of the largest number of the entire diagram, from the smallest number.

Hope this helps you!

8 0

3 years ago

Read 2 more answers

You have a hemisphere with a volume of 6. What is the surface area with a sphere with the same diameter. Round to the nearest th

Vikki [24]

Answer:

(the volume of the hemisphere has no units, so i will suppose that it is 6m^3)

For a sphere of radius R, the volume is:

V = (4/3)*pi*R^3

Where pi = 3.14

And a hemisphere is half of a sphere, then the volume of a hemisphere of radius R is:

V = (1/2)*(4/3)*pi*R^3

We know that the volume of the hemisphere is 6 m^3, then we have the equation:

6 m^3 = (1/2)*(4/3)*3.14*R^3

Now we can solve this for R.

6 m^3 = 2.1*R^3

∛(6 m^3/2.1) = R = 1.41 m

The radius of the hemisphere is 1.41m

Now we want to find the surface of a sphere with this radius (if the radius is the same, then the diameter is the same)

For a sphere of radius R, the surface is:

S = 4*pi*R^2

Then the surface of this sphere is:

S = 4*3.14*(1.41 m)^2 = 24.971 m^2

3 0

3 years ago

0.75 on number line?

Anarel [89]

Where .75 will be on a number line always varies depending on how far out your number line goes. the decimal .75 is also known as 3/4, so the easiest way to find out where 3/4 is on a number line is to divide you number line into 4 even sections. this can be difficult if you have an odd number,, but it will always work as long as you divide the length of your number line by 4 to find out where to make your even sections. below is an example on how this would work:
lets say this is your number line
-------------------------
that number line contains 24 dashes,, so if you take that number (which is the length of the number line) and divide it by 4 you will find where 3/4 is.
24 ÷ 4 = 6
this means that at every 6,, you add 1/4. on the number line it would look like the following:
------I------I------I------
1/4 2/4 3/4
this technique shows you where 3/4/0.75 is on your number line.
let me know if you have any further questions
:)

6 0

4 years ago

Write an equation that models the sequence 400, 200, 100, 50, ...

grandymaker [24]

The sequence is probably ×2

4 0

3 years ago