Answer:
x=3
Step-by-step explanation:
We have to use the fact that all angles of a triangle add up to 180 and two supplementary angles add up to 180.
First,QRS forms a line, so angle QRT and angle TRS add up to 180 or, if we call angle TRS y for the sake of having it as a variable, 45x+y=180 or y=180-45x
Now we have all three angles of the triangle, and we know all three add up to 180, so startign with our newly found angle, (180-45x)+(25x)+(57+x)=180
180-45x+25x+57+x=180
237 - 19x = 180
57 = 19x
x=3
Let me know if you need any further explanation.
Answer:
26 = G. 27 = A. 28 = J
Step-by-step explanation:
26} A Nickle = 5 cents. A Dime = 10 Cents.
Way #1: 5+5+5+5+5+5 = 30
Way #2: 10 + 10 + 10 = 30
Way #3: 10 + 5 + 5 + 5 + 5 = 30
Way #4: 10+ 10+ 5 + 5 = 30
27} Pennies = 1 Cent. Nickels = 5 Cents. Dimes = 10 cents.
Way #1: 1+1+1+1+1+5+ 10 = 20
28} Pennies = 1 Cent. Nickels = 5 Cents. Dimes = 10 Cents.
Way #1: 10+5+1+1 = 17
Way #2: 5+5+5+11 = 17
Way #3: 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1 = 17
Way #4: 1+1+1+1+1+1+1+10 = 17
Way #5: 5+1+1+1+1+1+1+1+1+1+1+1+1 = 17
Let's call x1: The rate per hour of the number one mechanic. X2: The rate per hour of mechanic number two. The first thing you should do is identify the system of equations that best describes the problem. In this case it is a system of 2 equations with two unknowns which when solved gives a total of x1 = 85 $ / h and x2 = 50 $ / h. Attached solution.
Answer:
They are similar because their corresponding angles are congruent and their corresponding sides are proportional in length.
Step-by-step explanation:
From the statements,
∠G≅∠K
∠F≅∠J
∠H≅∠L
The sides of triangle FGH are proportional to those of triangle JKL
FG/JK =GH/KL=FH/JL =1/2
