Answer:
Ok if you look at the figure, it is a vertical angle. This means that the angle opposite to each other is congruent.
m<1 is congruent to m<3
m<2 is congruent to m<4
m<3 is 60⁰ and is congruent to m<1. This means that m<1 is 60⁰. m<4 is 30⁰ and is congruent to m<2. This means that m<2 is 30⁰.
m<1 = 60⁰
m<2 = 30⁰
m<3 = 60⁰
m<4 = 30⁰
Hope this helps, thank you :) !!
Answer:
Let the present age of the man be x years.
Age of the man 15 years ago =(x−15) years and
Age of the man 15 years later =(x+15) years
According to the given condition, we have
(x+15)=2(x−15)
⇒x+15=2x−30
⇒x−2x=−30−15
⇒−x=−45 or x=45 years
Hence, the present age of the man is 45 years.
Step-by-step explanation:
Hope it helps you..
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Answer:
The coordinates of the vertices of triangle A'B'C' are
,
and
.
Step-by-step explanation:
According to this statement, triangle ABC must be translated 5 units in the -y direction to form triangle A'B'C'. We need to use the following operations:
(1)
(2)
(3)
If we know that
,
and
, then the new vertices of the rectangle are, respectively:
,
, 
Answer:
I think it’s 819 because 819-718=121s
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the question? If you want to know how to graph this equation, it's usually easiest to start with the intercepts, i.e., the points where the line crosses the axes.
y = ½x + 3 tells you that the line crosses the y-axis at (0,3), so plot that point.
Then let y = 0 and solve for x.
0 = ½x + 3
x = 6
The line crosses the x-axis at (6,0), so plot that point as well.
Then draw the line passing through those two points.