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3 years ago

∠1 and ∠2 are vertical angles. ∠2 has a measure of 93°. What is the measure of ∠1 ? Enter your answer in the box. °

Mathematics

2 answers:

kirza4 [7]3 years ago

6 0

The measure of ∠1 is also 93° because vertically opposite angles are equal.

tia_tia [17]3 years ago

4 0

Answer:

It is 93 i just finished my quiz

Step-by-step explanation:

Some people that proably needs this answer wants to see somebody agree also , like have another green check.

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(y + 4 / 2y) + (y-2 / 3) = (3y^2 + 10 / 6y) for y {-2, 1} {-2, 3} {}

vaieri [72.5K]

Answer:

{-2, 1}

Step-by-step explanation:

$\frac{y+4}{2y} +\frac{y-2}{3} =\frac{3y^2+10}{6y}$

Make the fractions have a common denominator.

$\frac{3}{3} (\frac{y+4}{2y}) +\frac{x}{y} (\frac{y-2}{3}) =\frac{3y^2+10}{6y}\\\frac{3y+12}{6y} +\frac{2y^2-4y}{6y} =\frac{3y^2+10}{6y}\\\frac{2y^2-y+12}{6y} =\frac{3y^2+10}{6y}$

Now that both sides of the equation have a common denominator, you can cancel out the denominators.

$2y^2-y+12=3y^2+10$

Now, set the equation equal to zero and factor.

$2y^2-y+12=3y^2+10\\-y^2-y+2=0\\(-y-2)(y-1)=0\\\\-y-2=0\\y=2\\\\y-1=0\\y=-1$

The y-values are {-2, 1}

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3 years ago

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3 years ago

the birth rate in a certain country in 1994 was 14,6 birthd per thousand population. in 2004 the birth rate was 14.32 per thousa

amm1812

Answer:

$y(x)=-0.028x+14.6$

Step-by-step explanation:

Birth Rate in 1994 = 14.6 births per thousand population.

Birth Rate in 2004 = 14.32 births per thousand population.

A linear equation is of the form: y=mx+c

Where:

x=years after 1994
y=the birth rate
m=Yearly Birth Rate

First, we determine the birth rate per year

$m=\dfrac{14.32-14.6}{10-0}\\=\dfrac{-0.28}{10}\\m=-0.028$

Therefore, a linear equation that relates y in terms of x is of the form:

$y(x)=-0.028x+c$

When x=0, y=14.6

14.6=-0.028(0)+c

c=14.6

Therefore, the linear equation that relates y in terms of x is:

$y(x)=-0.028x+14.6$

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3 years ago

∠1 and ​ ∠2 ​ are vertical angles. ∠2 ​ has a measure of 93°. What is the measure of ​ ∠1 ​? Enter your answer in the box. °

∠1 and ∠2 are vertical angles. ∠2 has a measure of 93°. What is the measure of ∠1 ? Enter your answer in the box. °