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2 years ago

PLEASE ANSWER AND EXPLAIN THE PROCESS

Mathematics

2 answers:

Mrrafil [7]2 years ago

7 0

M1=105 degrees
m2=75 degrees

Margaret [11]2 years ago

3 0

Step-by-step explanation:

Angle 1 = 105 degrees (co-interior angles on a set of parallel lines)

Angle 2 = 75 degrees (corresponding angles on a set of parallel lines)

Hope you have a nice day :)

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Simplify <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B3%7D%7B8%7D%20%7D%20" id="TexFormula1" title=" \sqrt{ \f

Pie

Answer:

B (√6)/4

Step-by-step explanation:

The smallest multiplier that will make the denominator of the fraction into a perfect square is 2, so you have ...

$\displaystyle\sqrt{\frac{3}{8}}=\sqrt{\frac{3\cdot 2}{8\cdot 2}}\\\\=\sqrt{\frac{6}{16}}=\frac{\sqrt{6}}{\sqrt{16}}\\\\=\frac{\sqrt{6}}{4}$

_____

Answer choice D is also a correct rationalization of the denominator, but is not simplified as far as it can be. √24 = 2√6, so a factor of 2 can be cancelled from numerator and denominator, giving answer choice B.

3 0

3 years ago

What are the dimensions of a rectangular box with a volume of 50b 3 + 75b2 - 2b - 3?

Inessa [10]

Answer:

$\large\boxed{(2b+3)\times(5b-1)\times(5b+1)}$

Step-by-step explanation:

The formula of a volume of a rectangular box:

$V=lwh$

l - lenght

w - width

h - height

$V=50b^3+75b^2-2b-3=25b^2(2b+3)-1(2b+3)\\\\=(2b+3)(25b^2-1)=(2b+3)(5^2b^2-1^2)\\\\=(2b+3)\bigg((5b)^2-1^2\bigg)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(2b+3)(5b-1)(5b+1)$

Therefore the dinemsions of thisp prism are:

$(2b+3)\times(5b-1)\times(5b+1)$

5 0

3 years ago

Read 2 more answers

The equation x+53=15 can be solved by performing two operations on both sides.

Wewaii [24]

Hey!

You're right! This equation can definitely be solved by performing two operations on both sides. Let me show you how it's done.

First, let's write out our equation.

Original Equation :
x + 53 = 15

Now that that's done, we'll be performing two operations on both sides. The operation we'll want to do is subtracting both sides of the equation by 53. We do this to get x on its own.

Original Equation :
x + 53 = 15

New Equation {Added Subtract 53 to Both Sides} :
x + 53 - 53 = 15 - 53

Now we have to solve the equation. Let's do the left side first.

Left Side of the Equation :
x + 53 - 53

Left Side of the Equation {Solved} :
x

Now, we'll solve the right side of the equation.

Right Side of the Equation :
15 - 53

Right Side of the Equation {Solved} :
-38

Now we can put both solutions to both sides of the equation together.

New Equation :
x = -38

Since this cannot be simplified any farther, this is our final answer. And that's it!

So, now we know that in the equation x + 53 = 15, x = -38

Hope this helps!

- Lindsey Frazier ♥

3 0

3 years ago

It is based on ratios

12345 [234]

Answer:

Gianna makes $18 per hour.

Step-by-step explanation:

Given Gianna makes 90$ for 5 hours. That means she should make $\frac{90}{5}$ $ = 18$ every hour.

Therefore we have:

HOURS DOLLARS

1 18

2 36

3 54

4 72

5 90

6 108

7 126

For the tabular column mark Hours on the x - axis and Dollars on the Y - axis. It can be plotted from the above table easily.

If Gianna works for 8 hours she would have made 8 X 18 = 144$.

So, she will earn 144$ in 8 hours.

To make 60$ she would have to work $\frac{60}{18}$ hours = 3.33 hours.

3 0

3 years ago

The factors of 5y^2-2y-7 are (5y-7) and ???

gladu [14]

If we expand bx to jx and kx we have:

5y^2-2y-7

5y^2-7y+5y-7 then factor...

y(5y-7)+1(5y-7)

(y+1)(5y-7)

So the other factor is:

(y+1)

4 0

3 years ago