Nimisha wants to draw a wheel like the one shown. Each shaded part of the wheel should be one-third of each unshaded part. What should be the degree measure of the angle formed at the center by each shaded part?

Answers

Answer 1

Answer:

Answer:

Each shade has a 22.5 degree angle from the middle

Each unshaded has a 67.5 degree angle from the middle.

Step-by-step explanation:

You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:

x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360

Combine Like terms:

16/3x = 360

Multiply both sides by the opposite:

(3/16) (16/3x) = (360) (3/16)

x=135/2 or x=67.5

Then you can plug 67.5 in for x:

1/3x ---> 1/3(67.5) = 22.5

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How to solve -5/7-11/7x=-y
2y=7+5x

Answers

$\left\{\begin{array}{ccc}-(5)/(7)-(11)/(7)x=-y&/\cdot(-1)\n2y=7+5x\end{array}\right\n\left\{\begin{array}{ccc}(5)/(7)+(11)/(7)x=y\n2y=7+5x\end{array}\right\n\nsubstitute\n\n2\cdot\left((5)/(7)+(11)/(7)x\right)=7+5x\n\n(10)/(7)+(22)/(7)x=7+5x\ \ \ /\cdot7\n\n10+22x=49+35x\n\n22x-35x=49-10\n\n-13x=39\ \ \ /:(-13)\n\nx=-3$

$\left\{\begin{array}{ccc}x=-3\ny=(5)/(7)+(11)/(7)x\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=(5)/(7)+(11)/(7)\cdot(-3)\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=(5)/(7)-(33)/(7)\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=-(28)/(7)\end{array}\right\n\left\{\begin{array}{ccc}x=-3\ny=-4\end{array}\right$

If x3 = 125, what is the value of x?

3
5
12
42

Answers

Answer:

Option B.

Step-by-step explanation:

In this question the given expression is x³ = 125 and we have to find the value of x.

x³ = 125

x³ = 5³

x = ∛5³

x = $(5^(3))^{(1)/(3) }$

x = $5^{(3)/(3)}$

x = 5

Therefore x = 5, Option B is the correct answer.

Answer:

5 or B

Step-by-step explanation:

Salve by substitution

Answers

Solve 3x-8y=-26 for x

Add 8y to both sides

3x-8y+8y=-26+8y

3x = 8y-26

Divide both sides by

3x/3 = 8y-26/3

x = 8/3 y + -26/3

Substitute 8/3 y + -26/3 for x in -5x+6y = 14

-5x+6y = 14

-5(8/3 y + -26/3 ) +6y = 14

Simplify both sides of the equation

-22/3 y + 130/3 = 14

Add -130/3 to both sides

-22/3 y + 130/3 + -130/3 = 14 + -130/3

-22/3 y = -88/3

Divide both sides by -22/3

-22/3 y / -22/3 = -88/3 / -22/3

Substitute 4 for y in x= 8/3 y + -26/3

x= 8/3 y + -26/3

x = 8/3 (4) + - 26/3

Simplify both sides of the equation

x = 2

Answer : x = 2 and y = 4

I hope that's help my friend !

Please if you have any question just asking and I will do my best to help you understand it .

The expression below is the factorization of what trinomial? (7x + 5)(2x - 3)

Answers

Answer:

The trinomial is $14x^(2)-11x - 15$

Step-by-step explanation:

We need to find the trinomial which has the factors $(7x + 5)(2x - 3)$

To find the trinomial , we need to multiply the factors

$(7x + 5)(2x - 3)$

multiply term wise,

$14x^(2)-21x +10x - 15$

$14x^(2)-11x - 15$

You can simply expand the factorised form out:
y = 14x² - 21x + 10x - 15
y = 14x² -11x -15

Rearrange the formula a2 + b2 = c2 for a. A) a = (c2 − b2)2 B) a = (c2 + b2)2 C) a = c2 − b2 D) a = c2 + b2

Answers

Answer:

the correct answer is:

a = √c^2 − b^2

Step-by-step explanation:

a^2 + b^2 = c^2

Explanation:

a^2 + b^2 = c^2

a^2 = c^2 − b^2

a = √c^2 − b^2

Answer:

C2 + a2 +2 = b

Would be the new formula

Find the value of each variable.x=38, y=76

x=52, y=76

x=38, y=104

x=52, y=104

Answers

The value of each variable are; x=38 and y=104

What is linear pair?

Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

We need to find the values of the variables x and y from the figure.

We know that if the two angles make a linear pair, then the sum of their measures is 180°.

The angles with measures y° and 76° makes a linear pair angles, so we have

y + 76 = 180

y = 180 - 76

y = 104

Also, angles with measures 2x° and y° makes a linear pair angles, so we have;

2x+y=180

2x = 180 -y

2x = 180 - 104

x = 38 degrees

Hence, the value of each variable are; x=38, y=104

Learn more about angles;

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2x=76 since oposite angles are equal
2x=76
divide 2
x=38

on line, angles add to 180
2x+y=180
76+y=180
minus 76 both sides
y=104

y=104
x=38

3rd option

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