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Vsevolod [243]
3 years ago
14

EASY QUESTION FOR 10 POINTS8(2y-7)=9(3y-14) +15​

Mathematics
1 answer:
Ivan3 years ago
3 0

Answer:y=5

Step-by-step explanation:

16y-56=27y-126+15

16y-56=27y-111

16y=27y-55

-11y=-55

y=5

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Geometry!!!!!!!!!!!!!!!!!!!!!!!!
Stella [2.4K]

<u>Given</u>:

Given that O is the center of the circle.

The radius of the circle is 3 m.

The measure of ∠AOB is 30°

We need to determine the length of the major arc ACB

<u>Measure of major ∠AOB:</u>

The measure of major angle AOB can be determined by subtracting 360° and 30°

Thus, we have;

Major \ \angle AOB=360-30

Major \ \angle AOB=330^{\circ}

Thus, the measure of major angle is 330°

<u>Length of the major arc ACB:</u>

The length of the major arc ACB can be determined using the formula,

<u></u>m \widehat{ACB}=(\frac{\theta}{360})2 \pi r<u></u>

Substituting r = 3 and \theta=330, we get;

m \widehat{ACB}=(\frac{330}{360})2 \pi (3)

m \widehat{ACB}=\frac{1980}{360}\pi

m \widehat{ACB}=5.5 \pi

Thus, the length of the major arc ACB is 5.5π m

8 0
3 years ago
The distance in the x-coordinates from A(–2, 2) to the center of dilation F(1, 1) is unit(s).
lilavasa [31]

Answer:

The distance in the x-coordinates from A(–2, 2) to the center of dilation F(1, 1) is 3 unit(s)

Step-by-step explanation:

Give points:

A(-2,2)

Center of dilation F(1,1)

The distance in the x-coordinates fro A to F can be given by =\ |x_2-x_1\ |=\ |1-(-2)\ |=\ |1+2\ | = 3\ units.

5 0
3 years ago
Points A, B, C, and D are collinear and
Zanzabum

x=-11

we know that

Points A,B,C,and D are collinear and positioned in that order

so

AD=AB+BC+CD -----> by addition segment postulate

we have

AB=2x+30

AD=x=32

substitute the given values and solve for x

x+32 = (2x+43)

Group terms that contain the same variable

2x-x=32-43

x=-11

4 0
3 years ago
The area of a triangle is 16ft squared.<br><br> The height is 4 feet<br> What is the base?
klasskru [66]
The base of the triangle is 4
3 0
3 years ago
Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 4
Ivenika [448]

We are given number of miles the 3 bike trips they took last month = 45.7, 40.9, and 38 miles.

Sam and Bruno were computing how many kilometers.

Also one kilometer equals 0.621 miles.

From this we can see than 1 kilometer is smaller unit and a mile is a larger unit.

In order to convert number of miles into kilometers, we need to divide each number of mile by 0.621 miles.

We always divide a larger value by a smaller value to get the smaller unit.

Therefore,

<h3>Bruno is correct. When going from a larger unit to a smaller unit you need to divide.</h3>
3 0
3 years ago
Read 2 more answers
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