Adding them up, we have 1/2+3/20+2/5+4/5. We can do a bit of guess and checking to see that 2, 5, and 20 go into 20. 20/2=10 and 20/5=4, so we multiply 1/2 by 10/10 and 2/5 and 4/5 by 4/4 to get 10/20+3/20+8/20+16/20= 37/20
Given triangles are similar, so we setup a proportion
(140-x)/81 = x/9
solving gives x = 14
AC = 140-x = 140-14 = 126
Answer:
son consonantes
guíate por esto.
La rima asonante se caracteriza porque solo coinciden los sonidos vocálicos en la última sílaba de cada verso, mientras que la rima consonante es aquella donde coinciden tanto vocales como consonante.
Answer:
Step-by-step explanation:
Corresponding parts of congruent triangles are equal.
VT = SR
8x- 17 = 15 {Add 17 to both sides}
8x = 15 + 17
8x = 32 {divide both sides by 8}
x = 32/8
x = 4
Corresponding parts of congruent triangles are equal.
∠V = ∠S = 60°
∠W = ∠U = 90°
∠T = ∠R = 2y + 20
In Δ VUT,
∠V + ∠U + ∠T = 180 {Angle sum property of triangle}
60 + 90 + 2y + 20 = 180
2y + 170 = 180
2y = 180- 170
2y = 10
y = 10/2
y = 5
Complete question :
There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few clues. The first clue is when their ages are added together the sum is 106. Kirk is 2 times the quantity of ten years less than the manager's age, Brian is 12 years younger than twice the manager's age, ,and Matt is 6 years older than ½ the manager's age. What are all four of their ages? Be sure to show set up equation work and answer
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following clue :
Let manager's age = m
Kirk's age = k
Brian's age = b
Matt's age = a
Sum of their ages = 106
k = 2(m - 10) = 2m - 20
b = 2m - 12
a = 0.5m + 6
k + b + a + m = 106
Express all their ages in terms of m
2m - 20 + 2m - 12 + 0.5m + 6 + m = 106
5.5m - 20 - 12 + 6 = 106
5.5m - 26 = 106
5.5m = 106 + 26
5.5m = 132
m = 132 / 5.5
m = 24
Manager's age = 24 years
kirk = 2(24 - 10) = 2(14) = 28 years
Brian = 2(24) - 12 = 48 - 12 = 36 years
Matt = 0.5(24) + 6 = 12 + 6 = 18 years