Answer:
x=12
Step-by-step explanation:
32=2(4+x)
distribute 2.
32=8+2x
subtract 8 from both sides.
32=8+2x
-8 -8
24=2x
divide by 2 on both sides
24/2=2x/2
12=x
Answer: figure 1). x = 36 2). x = 123
Explanation:
Figure 1:
Angle x = angle 1
And angle 4 = 4x
Angle 4 + angle 1 = 180
4x + x = 180
5x = 180
x = 36
Figure 2:
Angle 1 = 68 degree
Angle 2 = 55 degree
Find angle 3:
180 - (68 + 55)
= 180 - 123
= 57 degree
But angle 3 = angle 4 = 57 degree
But: angle 4 + x = 180
57 + x = 180
x = 180 - 57
x = 123
Answer:
Length=17
Width=13
Step-by-step explanation:
The general formula for calculating the perimeter of a rectangle is 2(l+w)
L=length
W=width
But this value is not given specifically in the question,so we will have to interpret the question
So let solve this
Let the length of the rectangle be x
The width is 4m longer than the length,4+x
So let's solve
2(x+4+x)=60
2(2x+4)=60
4x+8=60
Substrate 8 from both sides
4x=52
Let's make x the subject of formula by dividing both sides by 4
x=13
So the width is 13
Let's calculate the length
4+x
4+13
17
Length=17
Width=13
I'm not sure about what exactly your teacher is looking for, but the actual congruency conjecture you would use is:
(angle symbol) 1 (congruency symbol) (angle symbol) 8 - Because they are alternate exterior angles
Answer:
where is the answer that needs to be simplified
Step-by-step explanation:
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