Answer:
The largest angle measure in triangle DEF = 82°
Explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
So, the shape of the triangles ABC and DEF are the same.
Sine the shape is similar the angle of the dilated triangle and considered triangle are the same.
The largest angle measure in triangle DEF = The largest angle measure in triangle ABC
The largest angle measure in triangle DEF = 82°
Answer:
0.108
Step-by-step explanation:
Using the poisson probability process :
Where :
P(x =x) = (e^-λ * λ^x) ÷ x!
Given that :
Each batch of bread = 3 loaves
Each loaf = 15 slices
Total slice per batch = 15 * 3 = 45 slices
Number of raising added = 100
Average number of raisin per slice, λ = 100/45 = 20/9
Hence,
Probability that a randomly chosen slice has no raising :
P(x = 0) = (e^-λ * λ^x) ÷ x!
P(x = 0) = (e^-(100/45) * (100/45)^0) ÷ 0!
P(x = 0) = (0.1083680 * 1) / 1
P(x = 0) = 0.108
Answer:
Step-by-step explanation:
Given as :
The distance cover while running = 
= 5 miles
Let The speed for running = 
The distance cover with bike = 
= 80 miles
The speed for biking = 
= 15 mph +
Total Time taken = 5 hours
Now Time = 
∴ 5 hour = 
+ 
Or, 5 hour = 
+ 
Or, 5 hour = 
or, 5 × (
) = 
Or, 
- 
= 0
or, 
= 0
or, 
= 0
Or, 
= 0
Or, 
= 0
Or, 
= 0
∴ = 3 , - 5
So, the running speed = 3 mile per hour
And the biking speed = 15 mph + 3 mph = 18 mile per hour
Hence The running speed of Stu is 3 mile per hour . Answer
Answer:
2<∛13<3 1<∛6<2
Step-by-step explanation:
Lets find the integers a and b ∛13 lies between.
a<∛13<b
a³<13<b³
=> a=2 so 2³=8 and b=3 so 3³=27 8<13<27
Similarly a<∛6<b
a³<6<b³
a=1 and b=2
Answer:
- 5
Step-by-step explanation:
"I am a negative integer greater than -6."
This eliminates any number that is less than -6, as well as any positive number.
0 > x > -6
"I am less than -2."
This narrows down the possible numbers to:
-5, -4, -3.
"I am not equal to -2 + (-1)"
-2 + - 1
-2 - 1
- 3
The number is not '-3'.
"I am not equal to 2 - 6."
2 - 6
- 4
The number is not -4.
Your number should be -5.
Hope this helps.
