Create equations:
10X+15y=2575.
X+Y=210.
Solve for X: X=210-Y, and sub it into the other equation: 10(210-Y)+15Y=2575. Solve for Y: 2,100-10y+15y=2575, 5y=475, y=95.
Sub Y into the original problem: X+95=210. Solve: X=115.
The first mechanic charges $115 per hour and the second charges $95 :)
Answer:
The triangles are congruent by congruency theorem SAS.
Step-by-step explanation:
Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.
Answer is 30
Multiply top of bottom of each fraction to get 30 on the bottom
So 2m/5•6 and 2m/6•5
Answer:
Yes. For the triangles to be similar, all of the sides have to be proportionate to its corresponding side. If the ratio of one of the pairs sides of the triangles is 1:1, then all of the pairs of sides on the triangles have to also have a ratio of 1:1. Using this, according to SSS postulate, the two triangles are similar. With the given information, either both triangles are congruent, or they are not similar.
Step-by-step explanation:
Answer: $7.70
Step-by-step explanation:
Given : A box contains eighteen $1 bills, ten $5 bills, eight $10 bills, three $20 bills, and one $100 bill.
Total bills = 
We know that probability of any event =
i.e. the probability of getting $1 bills =
Probability of getting $10 bills =
Probability of getting $5 bills =
Probability of getting $20 bills =
Probability of getting $100 bills =
Hence, the expected value of your draw= $7.70
