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Lynna [10]
3 years ago
9

What is the measure of angle y in this figure?

Mathematics
2 answers:
prohojiy [21]3 years ago
6 0
The measure of angle y is 163 degrees because the two angles are vertical angles
sergiy2304 [10]3 years ago
6 0
The measure of angle y is 163 degrees because the two angles are vertical angles
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Simplify the expression (6x^3 divided by 3x^4)^2
Evgesh-ka [11]
(6x^3/3x^4)^2 = (2/x)^2 = 4/x^2
3 0
3 years ago
Read 2 more answers
a utility worker is 5.5 feet tall and is casting a shadow 4 feet long at the same time a nearby utility pole casts a shadow 20 f
Assoli18 [71]

So this is essentially a proportion problem. They want you to be able to recognize a relationship between the two. The easiest way to go about this is to draw a picture (I have included one). What you want to do is notice that you are given both shadow lengths. This is essentially going to be your first step to creating the proportion.


Understanding that we know the shadow lengths, we can turn these into a fraction such as so:


4ft/20ft.


Now that we know that, we need to look at are unknown. Our unknown is the height of the utility pole. We can solve this by substituting for X since we know the utility worker is 5.5 ft tall.


Your fraction for that would look like:


5.5ft/X


Make sure to always make your top to top match, such as since I put the utility worker's shadow on top, I need to put his height on top.

Now we can solve.

4ft/20ft =5.5ft/X


We need to cross multiply to get an equation we can work with. If we cross multiply, Your equation will look like:


4x = 110ft


This is a simple one step equation. Divide both sides by 4 to get your answer.

x= 27.5ft.

This means your Utility pole's height is 27.5ft.

6 0
3 years ago
5. Grayson a green number cube and a white number cube. the faces of the cubes are number 1 through 6. Graysen roll each cube on
Valentin [98]

Answer: P(G even and W>2) = 1/3 or 0.333 or 33.3%


Step-by-step explanation:

Independent events multiply probabilities,

P(G even)=1/2, P(W>2)=2/3, P(G even and W>2)= 1/2 × 2/3 = 1/3.


Without using definition of "independent events", or rules referring to them, I use sample space S of 36 points, and P(event) = #(event)/#(sample space).

Points are labeled with two digits, left is green die, right is white die. S = {11,12,13,14,15,16,21,...26,...,61,...,66}, and #(S)=36.

An event E is a subset of S, and

0 <= #(E) <= #(S) = 36.

Event G even is GE={21,22,23...,41,42,...,61,...,66},

#(G even)=18

Event "W>2" = W2 ={13,14,15,16,23,24...,63,64,65,66},

#(W>2)=24.

Event G even and W>2 GEW2={23,24,25,26,43,44,45,46,63,64,65,66),

#(GEW2)=12

P(GEW2)=#(GEW2)/#(S)=12/36=1/3=33.3%



7 0
3 years ago
Simplify 18.1 - 1.1(7.4 - 9.6 + 0.5).
rodikova [14]
The answer to this question is 17
7 0
3 years ago
How to solve a math question like -6x-4
attashe74 [19]

Answer:

24

Step-by-step explanation:

When you multiple 2 negatives it makes a positive

3 0
3 years ago
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