A = (H * B) / 2.......2A = H * B
A = 15
H = B + 1
2(15) = H * B
30 = B(B + 1)
30 = B^2 + B
B^2 + B - 30 = 0
(B + 6)(B - 5) = 0
B + 6 = 0
B = -6.....not this one, it cant be negative
B - 5 = 0
B = 5 <==== base is 5 cm
H = B + 1
H = 5 + 1
H = 6 <=== height is 6 cm
Answer:
z = 7/100
Step-by-step explanation:
Answer: x = 7
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Angle STU is 15x. This is the exterior angle on the right side of the triangle
Subtract this from 180 to get angle RTS
angle RTS = 180 - (angle STU)
angle RTS = 180 - 15x
Focus solely on triangle RTS. If needed, erase the portion that extends out toward point U
If we focus on the triangle only, then angle R = angle T since they are the base angles of the isosceles triangle. We know that triangle RST is isosceles since RS = ST is given to us.
Because angle R = angle T, we know
angle R = 180-15x
angle T = 180-15x
and we also know
angle S = 4x+2
since that's given as well
Add up the three angles and set that sum equal to 180. Then solve for x
R+S+T = 180
(180-15x)+(4x+2)+(180-15x) = 180
(-15x+4x-15x) + (180+2+180) = 180
-26x + 362 = 180
-26x + 362-362 = 180-362
-26x = -182
-26x/(-26) = -182/(-26)
x = 7
Answer:
i believe it is y=x
Step-by-step explanation: