Answer:
Step-by-step explanation:
Sum of angle in a triangle = 180°
<A+<B+<C = 180
Given <B = 50°
Substituting into the formula
<A+50+<C = 180
<A+<C = 180-50
<A+<C = 130°
Since the ∆ABC is an acute triangle, the angles <A and <C must be angles less than 90° since acute angles are angles less than 90°
The possible values of <A and <C that will be acute and give a sum of 130° are;
∠A= 58° and ∠C= 72°
∠A= 80° and ∠C= 50°
∠A= 60° and ∠C= 70°
You can see that all the Angles are less than 90° and their sum is 130°
Since U is a universal set where S is its subset, then set U should consist of all the letters, numbers and punctuation mark in a keyboard. In other words, universal set U consists of the following elements:
U = (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
U = (x| x comprised of all the letters in the alphabet fro a to z)
U = (!,.,,,?,!:,;,",',-)
Answer:
y = 1/5x - 11
Step-by-step explanation:
perpendicular to a line means we flip the slope to opposite of what it is
in other wrds, since your slope is -5, your new slope for the line perpendicular to it would be 1/5.
Now we just use the same equation to find the y-intercept, which is b.
y = mx + b; m is your slope and b is your y intercept.
use the points given; (5, -10).
-10 = 1/5(5) + b
-10 = 1 + b
-11 = b
now put your equation together since you have all the pieces
y = 1/5x - 11
140/100 * 65 = 91 people
Divide 140 by 100 to find 1 percent then multiply by 65 to find 65 percent.
There are 60 minutes in one hour. So 5/12 of 60 minutes (1 hr) is 25 minutes.
There are 36 inches in one yard. So 2/3 of 36 inches (1 yard) is 24 inches.
Hope this helps.
