Answer:
x = -3, y = 5
Step-by-step explanation:
first, take the 3x + 17 = y and put it in place for the y in the second equation.
-3x=4x+17+4
then, solve the equation.
-3x=4x+21
-3x-4x=4x-4x+21
-7x=21
-7/-7x=21/-7
x = -3
substitute in other equation
4(-3) + 17 = y
-12 + 17 = y
y = 5
answers are x = -3 and y = 5
The complete proof statement and reason for the required proof is as follows:
Statement Reason
m<PNO = 45 Given
MO Given
<MNP and <PNO are a
linear pair of angles Definition of linear pairs of angles
<MNP and <PNO are
supplementary angles Linear Pair Postulate
m<MNP + m<PNO = 180° Definition of supplementary angles
m<MNP + 45° = 180° Substitution property of equality
m<MNP = 135° Subtraction property of equality
Answer:
7
Step-by-step explanation:
5x-x=28 The dad is 5 times as old and the difference in their ages is 28years.
4x=28 Simplify and divide.
x=7
Answer:
Below.
Step-by-step explanation:
Mean = (61+59+60+50+54+56+61+63)/8
= 464/8
= 58 degrees
Deviations:
61 - 58 = 3
59-58 = 1
60-58 = 2
50-58 = -8 = 8 (absolute value)
54-58= -4 = 4
56-58 = -2 = 2
61-58 = 3
63-58 = 6
MAD = (3+1+2+8+4+2+3+6) / 8
= 3.625
= 3.6 to the nearest tenth.