The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles
1 answer:
Answer:
First: 30°
Second: 67°
Third: 83°
Step-by-step explanation:
First: x
Second: y
Third: z = y + 16
Constraints:
x + y + z = 180
y + z = 5x ===> y = 5x - z
Substitution to find first angle x:
x + y + z = 180
x + (5x - z ) + z = 180
x + 5x - z + z = 180
6x = 180
x = 30
Substitution to find second angle y:
y = 5x - z
y = 5(30 ) - z
y = 150 - z
y = 150 - (y + 16 )
y = 150 - y - 16
y = 134 - y
2y = 134
y = 67
Substitution to find third angle z:
z = y + 16
z = (67 ) + 16
z = 83
You might be interested in
28+22+29+ 21 (your answer) = 100 divided by 4 (the amount of numbers used) = 25 ( average)
Answer:
I think they are.
Step-by-step explanation:
Because they are both 39 and 34 degrees so if x and y are the same number they are similar.
35-4x>2 -4x>2-35 -4x>-33 -x>-33/4 x<33/4 (x<8.25)Solution: x<8.25. or x∈(-∞ , 8.25)
Answer:
0.0274
Step-by-step explanation:
The mean is and the standard deviation is
Calculate
for
If then
and
Use table for normal distribution probabilities to get that
Step-by-step explanation:
2/7
2×2 = 4
___
7×2 = 14
2×3 = 6
___
7×3 = 21
2×4 = 8
___
7×4 = 12