Step-by-step explanation: 6 4 17 26
1) BC = 10 twice DC
2) x = 174 360 - 46 - 66 - 74 = x
3) x = 125 360 - 47 - 98 - 90 = x
It's the consecutive interior angles theorem; it goes like this:
95° = (2x + 5)<span>°
90</span><span>° = 2x</span>
45<span>° = x
Basically it says the alternate interior angles of two parallel lines that are cut by a transverse line are equal/the same.
</span>
Answer:
Problem 1: g(x) = (x - 3)(x + 18)
Problem 2: Option A, y = 1.2x - 6
Problem 3: Option D
Step-by-step explanation:
<u>Problem 1:</u>
g(x) = x^2 + 15x - 54
g(x) = (x - 3)(x + 18)
Answer: Option B, g(x) = (x - 3)(x + 18)
<u>Problem 2:</u>
Slope = 1.2
(y - y1) = m (x - x1)
(y - 0) = 1.2(x - 5)
y = 1.2x - 6
Answer: Option A, y = 1.2x - 6
<u>Problem 3:</u>
Answer: Option D
Look at attached graph:
Answer: 64 years
Step-by-step explanation:
Let assume the dealer sold the bottle now for $P, then invested that money at 5% interest. The return would be:
R1 = P(1.05)^t,
This means that after t years, the dealer would have the total amount of:
$P×1.05^t.
If the dealer prefer to wait for t years from now to sell the bottle of wine, then he will get the return of:
R2 = $P(1 + 20).
The value of t which will make both returns equal, will be;
R1 = R2.
P×1.05^t = P(1+20)
P will cancel out
1.05^t = 21
Log both sides
Log1.05^t = Log21
tLog1.05 = Log21
t = Log21/Log1.05
t = 64 years
The best time to sell the wine is therefore 64years from now.
Answer:
3/3 = 1
Step-by-step explanation:
The slope formula is..
Pick two formulas. Let's do (-5, -2) and (-2, 1)
x1 y1 x2 y2
(-5, -2) (-2, 1)
= 
= 1
It'll work the same thing for (-2, 1) and (1,4)...
3/3 or 1 is a pattern between the points.
