Answer:
Equation: 2x + 5 + 6x + 15 = 92
Solution: x = 9
m∠A =23° m∠B = 69°
Step-by-step explanation:
measure of ∠B = 3(2x + 5) = 6x + 15
The sum of the angles = 92 = 2x + 5 + 6x + 15
92 = 8x + 20
72 = 8x
x = 9
m∠A = 2(9) + 5 = 18 + 5 = 23
m∠B = 6(9) + 15 = 54 + 15 = 69
Check: 23 + 69 = 92 and 23(3) = 69
-1 is less than 0, so you use the first equation:
3(-1) +2 = -3+2 = -1
f(-1) = -1
For 0 use the 2nd equation:
3(0) + 4 = 0+4 = 4
f(0) = 4
For 2 use the 2nd equation:
3(2) + 4 = 6+4 = 10
f(2) = 10
In my estimations you have a triangle with 2 angles and an altitude or height. You have to find the base of the triangle in order to find the area. I set up the triangle and sine the 60 degree angle was bisected I know that the vertex angle is 30 in my right triangle. I used the tangent ratio of 30 to find the base of that triangle and then multiplied it by 2 to get that the whole base measure is 27.71281292. Then I multiplied it by the height I was given of 24 and divided the whole mess in half to get the area. 332.553 units squared.
Answer:
it's just 8/20 so shade 8/20 of the circle
Answer:
Kevin must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime.
Step-by-step explanation:
Given : Kevin wants to make a mixture that is 50% lemon juice and 50% lime juice. 100% lesson juice should he add to a juice mixture that is 40% lemon juice and 60% lime juice to make 6 gallons of the 50% lemon 50% lime juice mixture.
To find : How much 100% lesson juice should he add to a juice mixture.
Solution :
According to question, we wants to make mixture where lemon = lime
We have to make 6 gallons, where
40% lemon juice require to make 6 gallon
i.e, 
and 60% lime juice require to make 6 gallon
i.e, 
Now, to make them equal subtract both of them

Therefore, he must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime.