1. The first step is Distribution, a = 10a - 14. You can determine this by multiplying 2 into (5a - 7). 2*5a =10a, while 2*- 7 = - 14. Resulting in, a = 10a - 14.
2 . Now, subtract 10a on both sides, meaning 10a - 10a and a - 10a. The equation simplified is - 9a = - 14.
3. Divide by - 9 on both sides. The solution to the equation is a = 14/9
Answer:
y = 40°
Step-by-step explanation:
The triangle in the picture is an isosceles triangle because of the markings on the side (they show that two sides are congruent).
An isosceles triangle not only have a pair of congruent sides, but also have a pair of congruent angles.
So,
5x = 40
Solve for x,
x = 40 ÷ 5
x = 8
5x = 40
5(8) = 40
40 = 40
Now we know the two angles. We then find the last angle containing y.
We know that the total angle measurement of the triangle is 180°.
Set up the equation,
40 + 40 + 2y + 20 = 180
Solve for y,
80 + 2y + 20 = 180
100 + 2y = 180
2y = 180 - 100
2y = 80
y = 80 ÷ 2
y = 40°
Answer:
6
Step-by-step explanation:
f(6) = -6 this is the value when the x value is 6
g(5) = -5 this is the value when the x value is 5
4 * f(6) -6*g(5)
4*-6 - 6* -5
-24 + 30
6
Answer:
9.2
Step-by-step explanation:
Use law of sines
a/sinA = b/sinB
5/sin 31 = b/sin 108
b=9.2
