First, write an equation system for the problem
For example, x represents the first angle and y represents the second angle
An equation for "t<span>he measure of an angle is seventeen times the measure of a complementary angle" is
</span>∴ <span>x = 17y
The sum of complementary angle is 90</span>°. It can be written as<span>
</span>∴ x + y = 90°
<span>
Second, use subtitution method to find the value of x and y
Subtitute x with 17y
x + y = 90</span>°
17y + y = 90°
18y = 90°
y = 90°/18
y = 5°
Subtitute y with 5°
x = 17y
x = 17(5)
x = 85°
The measure of each angle is 5° and 85°
Answer:
m = 3/5
Step-by-step explanation:
Slope Formula: 
Step 1: Find 2 coordinates
(0, 80)
(-50, 50)
Step 2: Find slope <em>m</em>
m = (50 - 80)/(-50 - 0)
m = -30/-50
m = 3/5
Answer:
y - 4 = 3(x- (-1) ---> y-4 = 3(x+1)
Step-by-step explanation:
y - 4 = 3(x + 1)
y - 4 = 3x + 3
y = 3x + 7
then plug in (-1,4)
4 = 3(-1) + 7
4 = -3 + 7
4 = 4
Point slope form looks like:
y - y₁ = m(x - x₁)
Answer:
a) There is a 66.7% chance that you were given box 1
b) There is a 80% chance that you were given box 1
Step-by-step explanation:
To find this, we need to note that there is a 1/10 chance of getting a defective bulb with box 1 and a 1/20 chance in box 2.
a) To find the answer to this, find the probability of getting a defective bulb for each box. Since there is only one bulb pulled in this example, we just use the base numbers given.
Box 1 = 1/10
Box 2 = 1/2
From this we can see that Box 1 is twice as likely that you get a defective bulb. As a result, the percentage chance would be 2/3 or 66.7%
b) For this answer, we need to square each of the probabilities in order to get the probability of getting a defective one twice.
Box 1 = 1/10^2 = 1/100
Box 2 = 1/20^2 = 1/400
As a result, Box 1 is four times more likely. This means that it would be a 4/5 chance and have a probability of 80%
follow these steps:
1) y-4=7x^2
2) (y-4)/7 = x^2
so you must inverse x and y names:
