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MatroZZZ [7]
4 years ago
15

Find the value of z please help

Mathematics
2 answers:
Elza [17]4 years ago
6 0

z + 93 = 180

z = 87

Answer z = 87

Here are the answer for x and y, in case you need them.

x = 2* 93 - 112

x = 186 - 112

x = 74

y = 2 * 80 - x

y = 160 - 74

y = 86

Novosadov [1.4K]4 years ago
3 0

Answer:

z=87^{\circ}

Step-by-step explanation:

We have been given image of a circle. We are asked to find the value of z for our given circle.

We can see that our given quadrilateral is a cyclic quadrilateral. We know that opposite angles of a cyclic quadrilateral are supplementary.

We can set an equation using our given information.

93^{\circ}+z=180^{\circ}

93^{\circ}-93^{\circ}+z=180^{\circ}-93^{\circ}

z=87^{\circ}

Therefore, the value of z is 87 degrees.

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Simplify -3d^8(-4d^-14). Assume d =/ 0​
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Answer:

\frac{12}{d^6}

Step-by-step explanation:

-3d^8\left(-4d^{-14}\right)

Double negative = Positive:

3d^8*4d^{-14}

Apply negative exponent formula:

3*d^8*4*\frac{1}{d^{14}}

Multiply:

\frac{12d^8}{d^{14}}

Apply exponent rule: \frac{x^a}{x^b}=\frac{1}{x^{b-a}}

Thus, \frac{12}{d^{14-8}}

Simplify:

\frac{12}{d^6}

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4 years ago
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3 0
3 years ago
R
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Answer:

Ivy is 6 years old and Rose is 12 years old.

Step-by-step explanation:

To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.

Ivy's age will be x

and Rose's age will be y

"Ivy is half as old as her sister":

x=\frac{y}{2}

this will be our <u>fist equation.</u>

"In six years, Ivy will be two-thirds as old as Rose"

in six years Ivy will have x+6 years, and Rose will have y +6 years, so for this sentence we have the equation:

x+6=\frac{2}{3}(y+6)

this will be our <u>second equation.</u>

Substituting the value of x from the first equation into the second, and solving for y(Rose):

\frac{y}{2}+6=\frac{2}{3} (y+6)\\\frac{y+12}{2} =\frac{2}{3} (y+6)\\y+12=\frac{4}{3} (y+6)\\3(y+12)=4(y+6)\\3y+36=4y+24\\36-24=4y-3y\\12=y

Rose is 12 years old.

and Ivy (using the fist equation):

x=\frac{12}{2}=6

Ivy is 6 years old.

6 0
3 years ago
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