Answer:
Step-by-step explanation:
1) x² - 8x + 5 = 0
2) No subtract 5 from both sides
x² - 8x + 5 - 5 = 0 - 5
x² - 8x = -5
3) Now find (8/2) = 4. Add 4² = 16 to both sides
x² - 8x + 16 = -5 + 16
x² - 8x + 16 = 11
4) (x - 4)² = 11
5) Take square root both sides
x - 4 = ±√11
x = 4 ±√11
Perpendicular has slope that multiplies to -1
the slope for ax+by=c is -a/b
-1x+2y=4
slope=-(-1)/2=1/2
1/2 times what=-1?
-2
y=mx+b
m=slope
we need slope is -2
y=-2x+b
find b
given
(-2,1)
(x,y)
x=-2 and y=1 is a solution
1=-2(-2)+b
1=4+b
mius 4 both sides
-3=b
y=-2x-3 is equation
first one
Great that you could share this illustration. Unfortunately, I do not have access to the drop-down menu, and thus do not know what choices you have there.
You may have to break this problem down into parts. Type in the choices for each pull-down menu for each part of the problem (for example, for the sentence that begins with "the sum of the measures of angles ... is 180 degrees because they ... "
Answer:
x = 28°, ∠ABC = 57°
Step-by-step explanation:
∠ABD = 2x+1
∠BCD = 33°
∠ABD = 90° (right angle)
which means that
∠ABC + <CBD = 90° (In the middle of ∠ABD)
Then, we can substitute to the equation to find x
(2x+1) + 33° = 90°
(2x+1) = 57°
2x = 56°
x = 28°
after finding x, we can find ∠ABC:
∠ABC = 2(28) + 1 = 57°
I hope this helps, have a great day! :)
