Does anyone know where I can find answer keys for CPM Core Connections Course 3 (the eighth grade one) answers? Specifically for
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The values of x and y are 15 and 7 respectively
The angles formed from the intersection of two lines at X are equal and vertically opposite angles.
From the figure shown, we can conclude that:
2(5x-5) = 6x + 50 (vertically opposite angle)
Expand
10x - 10 = 6x + 50
10x - 6x = 50 + 10
4x = 60
x = 60/4
x =15
Similarly;
5y + 5 = 7y - 9
Collect the like terms;
5y - 7y = -9 - 5
-2y = -14
y = 14/2
y = 7
Hence the values of x and y are 15 and 7 respectively
Learn more here: brainly.com/question/15198257
Answer:
Step-by-step explanation:
Given: Dimensions of a big locker are 0.5 m × 0.6 m × 1.2 m
Dimensions of a small locker are 0.5 m × 0.6 m × (as height of small locker is half the height of big locker )
To find: total volume of one big locker and one small locker
Solution:
Volume of cuboid = length × breadth × height
Total volume of one big locker and one small locker = Total volume of one big locker + total volume of one small locker
=
Answer:
Step-by-step explanation:
To preface, your figure is going to be a line segment, with as your midpoint, in between points
&
With that being said:
Identify your values:
Substitute the values into the first equation:
Combine like terms:
Subtract from both sides of the equation:
Divide by the coefficient of , which is
:
Substitute for
in segments
&
:
Solve:
Check your answers by substituting: