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Yuliya22 [10]
3 years ago
10

Parallel lines e and f are cut by transversal b. Horizontal and parallel lines e and f are cut by transversal b. At the intersec

tion of lines b and e, the uppercase right angle is (2 x + 18) degrees. At the intersection of lines b and f, the top right angle is (4 x minus 14) degrees and the bottom right angle is y degrees. What is the value of y? 16 50 130 164
Mathematics
2 answers:
REY [17]3 years ago
8 0

Answer:

Angle y measures 130 degrees

Step-by-step explanation:

Notice that the angles marked as "2x+18", and "4x-14" must be equal angles since they are generated on the same sector (top right) of the parallel lines by the transverse line "b".

Then by finding the value of "x" we can deduce the value of the actual angle these two angles measure:

2x+18=4x-14\\18+14=4x-2x\\32=2x\\x=16^o

Now, we can find the actual value of these two angles, we use for example the first expression:

Top-right angle = 2\,(16^o)+18^o=50^o

Now, if these two angles measure 50^o, then angle "y" (which is the supplementary angle (angle which added renders 180^o )  for them, must equal 180^o-50^o=130^o

DaniilM [7]3 years ago
3 0

Answer:

its 130

Step-by-step explanation:

1 3 0

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The question is in the picture​
trasher [3.6K]

Answer:

should also = 35* if I'm not mistaken

Step-by-step explanation:

if this is wrong I'm very sorry. if no one else helps u with in the next 10 mins I suggest using socratic, it helps me

8 0
4 years ago
The table represents a bicycle rental cost in dollars as a
Ainat [17]

Answer:

  (a)  This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

Step-by-step explanation:

The equation of direct variation is ...

  y = kx

for some constant k. Here, we have x in hours and y in dollars. We can see if k is constant for the values given in the table.

__

<h3>constant of variation</h3>

Solving the direct variation formula for k, we have ...

  k = y/x

Using the table values, we can see if this is constant:

  k = dollars/hour = 10/2 = 20/4 = 30/6 = 40/8 = 5

The "rate of change" is constant at $5 per hour.

The function represents direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

3 0
2 years ago
The difference of a number and its successor
Arisa [49]

Answer:

1

Step-by-step explanation:

The difference between a number and its successor is 1

4 0
3 years ago
The Sunny Days Apartment building has a cylindrical, above ground pool in the yard. The radius of the pool is 1.5 times its heig
dezoksy [38]

Answer:

5.54 feet.

Step-by-step explanation:

Let h be the height of the pool and r be the radius of the pool.

We have been given that volume of cylindrical pool in Sunny Days Apartment building is 1200 cubic feet.

We have been given that the radius of the pool is 1.5 times its height. We can represent this information in an equation as:

r=1.5*h...(1)

\text{Volume of cylinder}=\pi r^2h

Substituting equation (1) in volume formula we will get,

\text{Volume of cylindrical pool}=\pi (1.5h)^2*h

Substituting the given volume of pool in formula we will get,

1200=\pi (1.5h)^2*h

1200=\pi*2.25*h^2*h

1200=\pi*2.25*h^3

Let us divide both sides of our equation by 2.25 pi.

\frac{1200}{2.25\pi}=\frac{\pi*2.25*h^3}{2.25\pi}

169.7652726=h^3

Let us take cube root of both sides of our equation.

\sqrt[3]{169.7652726}=h

5.537=h

h=5.537\approx 5.54

Therefore, the height of the pool is approximately 5.54 feet.

6 0
4 years ago
Another one <br>Topic: Law of Indices<br>Evaluate this;<br><br>(13⁰÷5)²​
Zarrin [17]

<u>Answer:</u>

<h2>1÷25</h2>

<u>Steps:</u>

(13⁰/5)²​

(1÷5)²

1²÷5²

1÷25

7 0
3 years ago
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