Answer:
Step-by-step explanation:
You are to assume in both problems that the two triangles are similar. That is a very dangerous assumption -- especially in later math classes. But in this case, there is no other way to do the problem. The two sets of triangles look like they are proportional. So set up two ratios that are = to each other
On the left
long side small triange / long side large triangle = base small triangle / base large triangle
On the right
hypotenuse/longest leg = hypotenuse / longest leg.
Problem A
Set up the similar Proportion
5/40 = x/20 Cross Multiply
40x = 20*5
40x = 100 Divide by 40
x = 100/40
x = 2.5
Problem B
Again set up the similar triangle proportion
15/10 = x/2 Multiply by 2
15*2/10 = x
3 = x
Answer:
t = 11.3 hours
Step-by-step explanation:
The formula d = rt stands for distance = rate x time. The problem gives you the rate, or r = 48.3 m/h, and the distance, or d = 545.79m. To solve for 't', you can plug the values given and divide:
d = rt or 545.79 = 48.3(t)
Divide both sides by 48.3: 545.79/48.3 = 48.3t/48.3
Solve for t: t = 11.3 hours
Step-by-step explanation:
- Here x coefficients are 3y + 8y - Oy
- Here 5 coefficients are 61-7'n + 8p
- Here z coefficients are 0
- Here yz coefficients are 0
Answer:
20 mpg
Step-by-step explanation:
Answer:
∠BXY = 150
∠BXZ = 30
∠AXZ = 150
Step-by-step explanation:
∠AXY and ∠BXY are adjacent angles
∠AXY + ∠BXY = 180 {linear pair}
30 + ∠BXY = 180
∠BXY = 180 - 30 = 150
∠AXZ = ∠BXY {Vertically opposite angles}
∠AXY = 150°
∠BXZ = ∠AXY {Vertically opposite angle}
∠BXZ = 30°
