Answer:
Angle 1: 55 degrees
Angle 2: 55 degrees
Angle 3: 70 degrees
Step-by-step explanation:
<u>Finding angle 1:</u> We know that in a triangle, all three angles must add up to 180 degrees. In the triangle on the left, 2 of the angle measures are already given to us. Therefore, we can simply do 180 - 40 - 85, thus the measure of angle 1 is 55 degrees.
<u>Finding angle 2:</u> We know that opposite angles are congruent. Therefore, angle 2 and angle 1 have the same measure.
<u>Finding angle 3:</u> Using the same thought process as we used when finding the measure of angle 1, we can subtract the other 2 angles. 180 - 55 - 55 is equal to 70.
X² - 36 = x² - 6² = (x-6)(x+6)
Given b equals -3, determine if it is a solution to 4b - 6 = - 18.
So, we have our given which is b = -3, and we are asked to determine if it a solution to the above equation.
To do this, we can plug -3 in for b and see if it works out.
Work:
Plug in -3 for b.
4(-3) - 6 = - 18
-12 - 6 = -18
-12 - 6 = - 18
Thus, b = -3 is a viable solution for the equation of 4b - 6 = -18.
Answer:
89·98 mph
Step-by-step explanation:
First, we get the circumference of the tires:
Circumference = 
× (radius × 2)
Circumference = 3.142 × (1·5 × 2)
Circumference = 3·142 × 3
Circumference = 9·426 ft
The circumference of the tire is equal to one round.
1 round = 9·426 ft
840 rounds = ?
We cross multiply to get the length that the tires would cover in a minute
= <u>840 × 9·426</u>
1
1 minute = 7917·84 ft
60 minutes = ?
<u>60 × 7917·84</u>
1
= 475070·4 ft
5280 feet = 1 mile
475070·4 feet = ?
<u>475070·4 × 1</u>
5280
475070·4 ÷ 5280 = speed of the car in mph
89·97545
Round this off to 2 decimal places...
= 89·98 mph
hope this helps! =)
