Problem 1
<h3>Answers:</h3><h3>angle 6 = 50</h3><h3>angle 7 = 50</h3><h3>angle 8 = 40</h3>
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Work Shown:
point E = intersection point of diagonals.
x = measure of angle 6
y = measure of angle 8
angle 7 is also x because triangle AED is isosceles (AE = ED)
Focus on triangle AED, the three angles A, E, D add to 180
A+E+D = 180
x+80+x = 180
2x+80 = 180
2x = 180-80
2x = 100
x = 100/2
x = 50
So both angles 6 and 7 are 50 degrees.
Turn to angle 8. This is adjacent to angle 7. The two angles form a 90 degree angle at point A. This is because a rectangle has 4 right angles.
(angle7)+(angle8) = 90
50+y = 90
y = 90-50
y = 40
angle 8 = 40 degrees
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Problem 2
<h3>Answers:</h3><h3>angle 2 = 61</h3><h3>angle 3 = 61</h3>
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Work Shown:
Angle 5 is 29 degrees (given). So is angle 4 because these are the base angles of isosceles triangle DEC (segment DE = segment EC)
angle 3 and angle 4 form a 90 degree angle
x = measure of angle 3
(angle 3)+(angle 4) = 90
x+29 = 90
x = 90-29
x = 61
Angle 2 is congruent to angle 3 since triangle BEC is isosceles (BE = EC), so both angle 2 and angle 3 are 61 degrees each.
The last option is the correct answer
Answer:
x =(-4-√136)/6=(-2-√ 34 )/3= -2.610
or
x =(-4+√136)/6=(-2+√ 34 )/3= 1.277
Step-by-step explanation:
I’m going to try to answer these to the best of my ability.
1. Plane D
2. Plane C
3. AB
4. No
5. I don’t believe so because it doesn’t look like C is on the same plane as a AB and D.
6. I think so, yes! Collinear means that they are on the same line, and it looks like if you put a line between those two to connect them, they would connect perfectly!
7. B possibly? Because it looks like B, C, and D are all collinear and that they would pass through a straight line. A doesn’t look like it’s collinear with the rest of them.
8. No
9. Yes
10. Yes
I’m sorry if any of those are wrong, but I did make sure to try and put some explanations for some of them so you saw why I gave the answer that I gave! I hope that helped and like I said, I’m sorry if any of them are wrong, I tried my best!
Answer:
a = 2
b = 4
The equation is ⇒ 
Step-by-step explanation:
∵ It is an exponential Regression
∴ y = 
where a ≠ 0
∵ x = 0 ⇒ y = 2
∴ 2 = a
⇒ 2 = a(1) (where b^0 = 1)
∴ a = 2
∵ x = 1 ⇒ y = 8
∴ 8 = 2(b)^1 ⇒ 8 = 2b ⇒ b = 8 ÷ 2 = 4
∴ b = 4
∴ The equation is ⇒ 
