Answer:
x = 32°
Step-by-step explanation:
∆KLM is an isosceles triangle because it has two equal sides, KL & KM. Therefore, the angles opposite to each of the two equal sides, which are referred to as the base angles are congruent to each other.
m<KML = m<KLM = 58°
m<MKL = 180 - (58 + 58) (Sum of triangle)
m<MKL = 64°
m<JKM = 180 - m<MKL (linear pair theorem)
m<JKM = 180 - 64 (Substitution)
m<JKM = 116°
∆JKM is also an isosceles triangle with two equal sides. Therefore, it's based angles (x & <J) would also be equal to each other.
Thus:
x = ½(180 - m<JKM)
x = ½(180 - 116) (Substitution)
x = 32°
Answer:
$55.05
Step-by-step explanation:
60 x .0825 = 4.95
60 - 4.95 = 55.05
Answer:
(11, 13)
Step-by-step explanation:
First Equation: x+y=24
Second Equation: y=x+2
x + (x + 2) = 24
2x + 2 - 2 = 24 - 2
2x/2 = 22/2
x = 11
y = (11) + 2
y = 13
Therefore, the solution to the system is (11, 13)
Solve for m:
2 m - 5 - 3 = 10 - m
Subtract like terms. -3 - 5 = -8:
2 m - 8 = 10 - m
Add m to both sides:
2 m + m - 8 = (m - m) + 10
m - m = 0:
2 m + m - 8 = 10
2 m + m = 3 m:
3 m - 8 = 10
Add 8 to both sides:
3 m + (8 - 8) = 8 + 10
8 - 8 = 0:
3 m = 10 + 8
10 + 8 = 18:
3 m = 18
Divide both sides of 3 m = 18 by 3:
(3 m)/3 = 18/3
3/3 = 1:
m = 18/3
The gcd of 18 and 3 is 3, so 18/3 = (3×6)/(3×1) = 3/3×6 = 6:
Answer: m = 6
