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Lera25 [3.4K]
3 years ago
9

Find the measures of the numbered angles in the figure, shown to the right. M<1= M<2= M<3= M<4

Mathematics
1 answer:
const2013 [10]3 years ago
4 0

Answer:

\angle 1  = 101

\angle 2 = 101

\angle 3 = 101

\angle 4 = 101

Step-by-step explanation:

Given

The attachment

Require

Solve for \angle 1, \angle 2, \angle 3, \angle 4

We start by solving for \angle 1

\angle 1 + 79 = 180 ---- Angle on a straight line

\angle 1 + 79-79 = 180 - 79 --- Subtract 79 from both sides

\angle 1  = 101

\angle 1 = \angle 2 = \angle 3 --- Corresponding angles;

So, we have:

\angle 2 = 101

\angle 3 = 101

\angle 1 = \angle 4 --- vertically opposite angles

So, we have:

\angle 4 = 101

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Ryleigh receives her pay monthly. Her deductions include $112 in Federal Income Tax, State Tax of 3.5% of gross, City Tax of 2.5
vodka [1.7K]

9514 1404 393

Answer:

  $6,106.87

Step-by-step explanation:

The total of percentage deductions is ...

  state tax + city tax + social security + medicare

  = 3.5% +2.5% +6.2% +1.45% = 13.65%

Then Ryleigh's take-home pay is ...

  gross(1 -13.65%) -112 = 5161.28

  gross = (5161.28 +112)/0.8635 = 6106.87

Ryleigh's monthly gross is $6,106.87.

8 0
3 years ago
Read 2 more answers
Rob ran 27.2 miles less than Jasmine last week. Rob ran 10 miles. How many miles did Jasmine run?
jeka94

Answer:

Jasmine ran last week 37.2 miles

Step-by-step explanation:

Let

x ----> number of miles Rob ran last week

y ----> number of miles Jasmine ran last week

we know that

x=y-27.2 ----> equation A

x=10 ----> equation B

Substitute equation B in equation A and solve for y

10=y-27.2

y=10+27.2

y=37.2 miles

4 0
4 years ago
What does -3(n+5)=12 equal
Reil [10]

Answer:

n= -9

Step-by-step explanation:

-3 ( n+5 ) = 12

-3n - 15 = 12

-3n = 12+15

-3n = 27

n = -27/3

n = -9

6 0
4 years ago
If three quarters of a number decreased by twenty is equal to eighty two, what is that number?
Studentka2010 [4]

A number is :

x

_________________________________

Three quarters of it means :

\frac{3}{4}x \\

_________________________________

Decrease by 20 means :

\frac{3}{4}x - 20 \\

_________________________________

Equals to 82 means :

\frac{3}{4}x - 20 = 82 \\

_________________________________

What is that number ?

x asked so we must solve the above equation for x.

Let's do it....

\frac{3}{4}x - 20 = 82 \\

Plus sides 20

\frac{3}{4}x = 82 + 20 \\

\frac{3}{4}x = 102 \\

Multiply sides by 4

3x = 102 \times 4

Divided sides by 3

x =  \frac{102 \times 4}{3} \\

x =  \frac{102}{3} \times 4 \\

Simplify

x = 34 \times 4

x = 136

So that number is 136 .

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

5 0
3 years ago
The equation of the line of best fit of a scatter plot y equals negative five x minus two what is the slope of the equation
sattari [20]
Y=-5x-2 
-2= y-intercept
-5x= slope
find y-intercept on a graph, make a dot.
then use slope from y-intercept dot, make another dot.
Draw line.
Is it a positive or Negative slope?
Hope that helps.
5 0
3 years ago
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