Answer: equivalent expression= 96+ 16x; 160
Step-by-step explanation:
88+8= 96
96+16x
16(4)= 64
64+96= 160
We have two sides of length 'w'. They are the vertical sides.
We also have two sides of length '2w+6' which are the horizontal sides.
So we have these four sides
side1 = w
side2 = 2w+6
side3 = w
side4 = 2w+6
Let's add up those four sides to get
Perimeter = (side1)+(side2)+(side3)+(side4)
Perimeter = (w)+(2w+6)+(w)+(2w+6)
Perimeter = w+2w+6+w+2w+6
Perimeter = 6w+12
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Since the perimeter is given to be 228, and we found the perimeter expression to be 6w+12, this must mean that the two are equal
So, 6w+12 = 228
Let's solve for w
6w+12 = 228
6w+12-12 = 228-12
6w = 216
6w/6 = 216/6
w = 36
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Now that we know that w = 36, we can find the dimensions of this rectangle
The vertical sides are simply w, so the vertical sides are 36 feet each. I simply replaced w with 36.
The horizontal sides are a bit more complicated. The expression we have is 2w+6 or 2*w+6. Let's replace w with 36 and use PEMDAS to evaluate
2*w+6 = 2*36+6 = 78
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Answers are...
Length = 78 feet
Width = 36 feet
(the length is the horizontal component, the width is the vertical)
Answer : 46°
These two angles have the same measure because they are alternate interior angles.
Answer:
55degrees
Step-by-step explanation:
Let the other angles of the triangle are x, x degrees. Since the sum of angles in a triangle is 180degrees, hence;
<A + <B+ <C = 180
x + 70 + x = 180
2x+70 = 180
2x = 180 - 70
2x = 110
x = 110/2
x = 55
SInce <A is equal to x, hence <A is 55degrees
Answer:
r < -7 or r > 10
Step-by-step explanation:
-2|3 - 2r| < -34
|3 - 2r| > 17 (Note the inequality sign flips because we divide by negative)
Now we split it up into 2 inequalities :-
3 - 2r > 17
-2r > 14
r < -7 (answer)
and
3 - 2r < -17
-2r < -20
r > 10 (answer).