Answer:
value of sides YZ is 36 cm
Step-by-step explanation:
Similar triangles states that the length of the corresponding sides are in proportion.
Given that: ΔABC is similar to ΔXYZ
then;
Corresponding sides are in proportion i.e
.....[1]
As per the statement:
side AB = 6 cm, side BC =18 cm and side XY = 12 cm.
Substitute these in [1] to solve for side YZ;
or
By cross multiply we have;
cm
Therefore, the value of sides YZ is 36 cm
The answer to Part A is 2 15/32
Answer:
1 11/15
Step-by-step explanation:
Answer:
The Current Insurance cost = $685.43
Step-by-step explanation:
Given that Dan pays £714.73 a year on his car insurance.
Reduced Percentage = 4.1%
so
Reduced Amount = 4.1% × 714.73
= [4.1 / 100] × [714.73]
= 0.041 × 714.73
= $29.30
The current cost can be calculated by subtracting the reduced amount of 29.30 from 714.73.
so
Current Insurance cost = 714.73 - 29.30
= $685.43
Therefore, the Current Insurance cost = $685.43
The distance between Car A and car B,When Car A crosses the start line is:
distance =speed car B* time
distance=(15 m/s)(3 s)=45 m
Distance traveled by car A =x, (when the car B is at the same distance from the start line)
time of car A=t
x=10 m/st ⇒ x=10t (1)
Distance traveled by car B=x
time of car B=t-3
x=15(t-3) (2)
With the equations (1) and (2) we make a system of equations:
x=10t
x=15(t-3)
We solve this system of equations:
10t=15(t-3)
10t=15t-45
-5t=-45
t=-45 / -5
t=9
t-3=9-3=6
x=10 t=10 (9)=90
Answer: The time would be 9 seconds for Car A and 6 seconds for car B and the distance would be 90 meters.
