Answer:
acute base angle = 74° , obtuse base angle = 106°
Step-by-step explanation:
Since the large triangle is isosceles with vertex angle (top angle) is 32, then the bottom 2 angles would be same (let it be x):
We know angles of triangle add up to 180, so we have:
x + x + 32 = 180
2x = 180 - 32
2x = 148
x = 148/2
x = 74
This 74 degree angle is the base acute angle of the isosceles trapezoid (lower portion). We also know opposite angles of isosceles trapezoid are supplementary (add up to 180), thus
obtuse angle + 74 = 180
obtuse angle (base) = 180 - 74 = 106
Thus, acute base angle = 74° , obtuse base angle = 106°
For x,
(32+x)/2=14
32+x=14*2
32+x=28
x=28-32
x=-4
For y,
(40+y)/2=26
40+y=26*2
40+y=52
y=52-40
y=12
Therefore coordinates of B(-4,12)
Hope this helps!
2x * 3x = 6x^2
2x * (-4) = 8x
7 * 3x = 21x
7 * (-4) = -28
6x^2 + 29x - 28
Answer:
yes
Step-by-step explanation:
its a pretty name
