Answer:
x=65
Angle 1=65
Angle 2=115
Step-by-step explanation:
We know that angle 1 + angle 2 = 180. Writing it in terms of x, we get x + (x + 50)= 180. Then you have 2x+50=180. Subtracting 50 from both sides gives you 2x=130. Dividing both sides by 2, you get x=65. Angle 1 is 65 degrees. 180-65=115.
A) The dimensions are (x+10) by (x+10).
B) The perimeter is given by 4x+40.
C) The perimeter when x is 4 is 56.
The quadratic can be factored by finding factors of <em>c</em>, the constant, that sum to <em>b</em>, the coefficient of <em>x</em>. Our <em>c</em> is 100 and our <em>b</em> is 20; we want factors of 100 that sum to 20. 10*10=100 and 10+10=20, so those are what we need. This gives us (x+10)(x+10 for the factored form.
Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10). Using the distributive property we have 4*x+4*10=4x+40.
To find the perimeter when <em>x</em>=4, substitute 4 into our perimeter expression:
4*4+40=16+40=56.
Answer:
Step-by-step explanation:
We will use to midsegment theorem to solve this question.
Midsegment theorem,
Segment joining the midpoints of two sides of a triangle, is parallel and and measure the half of the the third side.
7). HE is the midsegment.
HE = 
= 
= 40
8). ED = 
= 
= 50
9). HD = 
TU = 2(HD)
= 2(80)
= 160
10). TE =
= 
= 80
Neither. They can’t be parallel because both lines have different slopes. They aren’t perpendicular either because their slopes don’t multiply to equal -1.
