Answer:
70
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
x = 30+40
x = 70
7 + 3(2x -5) = 3x + 7
distribution:
7 + 6x -15 = 3x + 7****
C as if you distribute it equals to C
Answer:
A) ![\frac{\sin{23}}{6.2}=\frac{\sin{85}}{b}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%7B23%7D%7D%7B6.2%7D%3D%5Cfrac%7B%5Csin%7B85%7D%7D%7Bb%7D)
Step-by-step explanation:
In order to use the Law of Sines, we must have a known angle and the known side opposite it.
The only side measure we have is that of AB, which is 6.2. The angle opposite this is ∠C, which we do not have the measurement of.
We do have the measurement of ∠A and ∠B; we can use these to find the measure of ∠C. We know that the sum of the measures of the angles in a triangle is 180°; this means
m∠C = 180-(72+85) = 180-157 = 23°
This makes the first ratio in the Law of Sines
![\frac{\sin{23}}{6.2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%7B23%7D%7D%7B6.2%7D)
We are trying to find the measure of b. This means we use the angle opposite b, ∠B; m∠B = 85°. This gives us the ratio
![\frac{\sin{85}}{b}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%7B85%7D%7D%7Bb%7D)
Together, this gives us the proportion
![\frac{\sin{23}}{6.2}=\frac{\sin{85}}{b}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%7B23%7D%7D%7B6.2%7D%3D%5Cfrac%7B%5Csin%7B85%7D%7D%7Bb%7D)
Answer:
her monthly salary is 6,200 dollars
25% of the monthly salary is 1,550 dollars
30% of the monthly salary is 1,860 dollars
Step-by-step explanation:
(1,550)(4)=6200
(0.25)(6200)=1,550
(0.30)(6,200)=1,860