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KatRina [158]
3 years ago
8

Find the size of the angles marked with a letter​

Mathematics
1 answer:
Marina CMI [18]3 years ago
8 0
Alternate interior angles on parallel lines via the parallel postulate gives you the angle supplementary to x = 120°, so x = 60°. alternate interior angles on 70° via the parallel postulate gives you y = 70°
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The volume of a cylindrical soap dispenser is modeled by the expression below.select the true statement.a. the expression (x + 1
bulgar [2K]

Answer:

The expression (x+1)^2 represents the radius of the soap dispenser.

The expression 4x+1 represents the height of the soap dispenser.

Step-by-step explanation:

The question says that the soap dispenser is in the form of a cylinder.

Now, we find the volume of the cylinder by using the given formula:

V= \pi r^2 h, where V represents the volume, 'r' represents the radius, and 'h' represents the height of the cylinder.

Now, the volume is the product of radius squared and the height, if they both are functions of x, then the function to represent the volume must have cubic exponents.

Since, the radius is squared in the formula and it is a function of x that implies that the function of radius must have square as the exponent of x, therefore, the expression (x+1)^2 will represent the radius of the soap dispenser and the expression (4x+1) represents the height of the soap dispenser.

8 0
4 years ago
Read 2 more answers
What is the radius of a circle whose equation is x2 y2 – 10x 6y 18 = 0?
HACTEHA [7]
Hello,

x²+y²-10x+6y+18=0
==>(x²-2*5x+25)+(y²+2*3y+9)+18-25-9=0
==>(x-5)²+(y+3)²=16

Radius is 4.
Center (5,-3)
6 0
4 years ago
Read 2 more answers
Write the expression. Then, check all that apply.
MrRa [10]

Step-by-step explanation:

twice the difference of a number and 6

2×(n - 6)

the correct options are

1.

3.

4.

5.

in other words : 2. and 6. are wrong, as there is no addition, and the expression has to be written with brackets to allow the subtraction to be done before the multiplication.

6 0
2 years ago
9375 grams of radioactive material decays every hour in a geometric fashion. After 4 hours of decay, 15 grams of radioactive mat
Paladinen [302]

The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.

<h3>Exponential function</h3>

An exponential function is in the form:

y = abˣ

where y,x are variables, a is the initial value and b is the multiplicative factor.

Let y represent the amount of substance remaining after x hours. Hence:

a = 9375, at x = 4, y = 15:

15 = 9375(b)⁴

b = 0.2

y = 9375(0.2)ˣ

For the 7th hour, x = 7:

y = 9375(0.2)⁷ = 0.12

The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.

Find out more on Exponential function at: brainly.com/question/12940982

7 0
2 years ago
Kaley reads 6 graphic nwels fewer than Safara.
Misha Larkins [42]

Answer:      16

Step-by-step explanation:

We first find out the number of graphic novels that Kaley reads, we set the number as k.

3k = 30

k = 10

Then Kaley reads 6 graphic novels fewer than Safara, which means that we plus 6 to the number of graphic novels that Kaley read,

k + 6 = 10 + 6 =16

7 0
3 years ago
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