Answer:
Option (4).
Step-by-step explanation:
In the figure attached,
Two right triangles ΔXYZ and ΔTUV have been given,
Given:
1). m∠Y = m∠U = 30°
2). m∠Z = m∠V = 60°
3). m∠X = m∠T = 90°
For congruence of two right triangles, measure of at least one side should be known along with the measure of angles (LA, HA, LL, HL properties of congruence).
Therefore, these triangles may be similar but not congruent.
Option (4) is the correct option.
Answer:
y=120-4x
Step-by-step explanation:
Here we are given the average speed for Day 1 and Day 2 and the time of ride . We asked to Find an expression to determine the total distance travelled in two days.
Day 1 :
Avg Speed = 8 mph
Let the time for travelling = x hrs
Hence Distace Travelled D1= Speed x Time
D1=8x
Day 2 :
Avg Speed = 12 mph
Total time of travelling for two days is given as 10 hours . Hence the time of travelling for day 2 is
= (10-x) hrs
Hence Distance travelled in Day 2 D2 = speed x time
D2 = 12(10-x)
D2=120-12x
Total Distance travelled = D1 + D2
= 8x+120-12x
=120-4x
If the total distance travelled is denoted by y
The expression will be
y=120-4x
C = cheese
milk is half of cheese....so milk costs 0.5c
meat is 4 times as much as cheese...so meat costs 4c
and $ 48 was spent
so ur equation would be : c + 0.5c + 4c = 48 <=
2880 books
Divide 1920 by 40
Then multiply the number by 2
You will get 96
Then multiply it by 30
We will see that the probability of x taking on a value between 75 to 90 is P = 0.5
<h3>
How to get the probability?</h3>
We know that x is a continuous random variable uniformly distributed between 65 and 85.
This means that the probability that x value y in the range is such that:
1 = P(y)*(85 - 65) = P(y)*20
1/20 = P(y).
Now, the probability of x taking a value between 75 and 85 is:
P(75 to 85) = (1/20)*(85 - 75) = 10/20 = 0.5
And the probability between 85 and 90 is zero (because the maximum value that x can take is 85, so this part does not affect).
Then we conclude that the probability of x taking a value between 75 to 90 is:
P(75 to 90) = P(75 to 85) + P(85 to 90) = 0.5 + 0 = 0.5
If you want to learn more about probability, you can read:
brainly.com/question/251701
