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Alina [70]
3 years ago
15

State the missing reasons in this proof. a. b. c.

Mathematics
1 answer:
Inessa [10]3 years ago
6 0
A. vertical angles are congruent
b. alternate interior angles are congruent 
c. if alternate interior angles are congruent, lines are parallel  <span />
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What is an equivalent expression for 4y plus y
RideAnS [48]
4y plus y

= 4y + y

= 5y

5 0
3 years ago
Glenn rolls a 6-sided die. What is the probability that he gets a number greater
NISA [10]

Answer: 5/6

Step-by-step explanation:

Over 2 there are 4 numbers 3,4,5,6 but it can be odd so also 1 works there are 6 numbers in total and 5 numbers work so

5/6

7 0
3 years ago
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How do I answer this question?​
Novay_Z [31]

Due to the Triangle Angle Sum Theorem, we know that the sum of the interior angles of a triangle equals 180 degrees, therefore,

180 = m<1 + m<2 + m<3

180 - m<3 = m<1 + m<2

But, we also know that m<4 + m<3 = 180 degrees.

180 = m<3 + m<4

180 - m<3 = m<4

Both m<4 and m<1 + m<2  equals 180 - m<3

m<4 = m<1 + m<2

5 0
3 years ago
The graph shows the number of handbags that mandy made in one day.What are the variables? Describe how the variables are related
tankabanditka [31]
The variables are: time(the independent variable or (x) variable) and number of handbags (the dependent variable or (y) variable). The variables helps to plot an accurate points on the graph.
8 0
3 years ago
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Solve the following system of equations for a and for b:
viktelen [127]

Answer:

a=3\\b=1

Step-by-step explanation:

9a+3b=30\\8a+4b=28

Let's solve the second equation for a to later on replace it in the first equation.

8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}

Now plug this into the first equation.

9a+3b=30\\9(\frac{28-4b}{8})+3b=30

Distribute the 9

(\frac{252-36b}{8}) +3b=30

Break down the fraction.

\frac{252}{8}-\frac{36b}{8}+3b=30

Simplify.

\frac{63}{2}-\frac{9}{2}b+3b=30

Subtract \frac{63}{2}

-\frac{9}{2}b+3b=30-\frac{63}{2}

Combine like terms.

\frac{-9+2*3}{2}b=\frac{30*2-63}{2}

\frac{-9+6}{2}b=\frac{60-63}{2}

\frac{-3}{2}b=\frac{-3}{2}

Muliply by the reciprocal or inverted fraction next to b.

(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})

b=1

Now plug this value into any of the equations to find the value of a.

8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3

5 0
3 years ago
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