Answer/Step-by-step explanation:
Given:
m<3 = 54°
m<2 = right angle
a. m<1 + m<2 + m<3 = 180° (angles in a straight line)
m<1 + 90° + 54° = 180° (substitution)
m<1 + 144° = 180°
m<1 = 180° - 144°
m<1 = 36°
b. m<2 = 90° (right angle)
c. m<4 = m<1 (vertical angles)
m<4 = 36° (substitution)
d. m<5 = m<2 (vertical angles)
m<5 = 90°
e. m<6 = m<3 (vertical angles)
m<6 = 54°
f. m<7 + m<6 = 180° (same side interior angles)
m<7 + 54° = 180° (substitution)
m<7 = 180 - 54
m<7 = 126°
g. m<8 = m<6 (alternate interior angles are congruent)
m<8 = 54°
h. m<9 = m<7 (vertical angles)
m<9 = 126°
i. m<10 = m<8 (vertical angles)
m<10 = 54°
j. m<11 = m<4 (alternate interior angles are congruent)
m<11 = 36° (substitution)
k. m<12 + m<11 = 180° (linear pair)
m<12 + 36° = 180° (substitution)
m<12 = 180° - 36°
m<12 = 144°
l. m<13 = m<11 (vertical angles)
m<13 = 36°
m. m<14 = m<12 (vertical angles)
m<14 = 144° (substitution)
Answer: The X intercept is located at (24,0) The Y intercept is located at (0,20)
The slope of the line represented by this equation is -5/6
Step-by-step explanation:
Answer:
The answer is No Solutions
Step-by-step explanation:
Since this is absolute value, we know the answer has to be positive, because distance has to be positive. We see it is negative, and that cannot be, so the answer is no solutions.
Answer:
3/100
Step-by-step explanation:
convert these measurements into one unit, I am going to do decimals but you can sue fractions or percentages as well.
1/4 is 0.25
2/5 is 0.4
0.12 is 0.12
20% is 0.2
if you add all these up, it equals 0.97
1- 0.97= 0.03
you therefore have 0.03 of the money left over
this as a fraction is 3/100
Answer:
See below
Step-by-step explanation:
The side opposite angle E is side e (DF)
The side adjacent to angle E is side d (EF)
The hypotenuse is side f (ED)
