Answer:
The length of DF must be between 21 and 53.
Step-by-step explanation:
In a triangle, the length of two sides added together must exceed the length of the 3rd side. So, since EF is the shortest of the two givens, we know that EF + DF must be greater than DE. So we can plug in these numbers to find the minimum.
EF + DF > DE
16 + DF > 37
DF > 21
Now, for the upper maximum, we know that the two given lengths must be greater than the length of DF. So again, we can solve for the maximum using the amounts.
DE + EF > DF
37 + 16 > DF
53 > DF
With these two in mind, we know that DF must be between 21 and 53
Answer:
The number of possible outcomes are 8.
Step-by-step explanation:
Given that,
A jewelry store sells gold and platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or diamond gemstone.
We need to calculate the number of possible outcomes
Using given data,
Outcomes = (gold, ruby), (gold,sapphire), (gold,emerald), (gold,diamond),(platinum, ruby), (platinum,sapphire), (platinum,emerald), (platinum,diamond)
So, Outcomes = 8
Hence, The number of possible outcomes are 8.
We can say at month 0 she was 43 inches tall.
And at month 18 she was 52 inches tall.
We can say that x is the number of months and y is her height.
Rise/run
y2-y1/x2-x1
52-43/18-0
9/18
1/2
So the slope is 1/2 (which is what you are looking for.) and if you were to write an equation it would be y=1/2x+43
Brainliest my answer if it helps you out?
I believe the answer you are looking for is -20.
Answer:
P (5 , 8)
Step-by-step explanation:
P (x,y) partition A (x₁ , y₁) B (x₂ , y₂) into ratio AM:MB = a:b = 2:1 ... a=2 , b=1
x = (bx₁ + ax₂) / (a+b)
= (1 * 3 + 2 * 6) / (2 + 1)
= 15/3
= 5
y = (by₁ + ay₂) / (a+b)
= (1 * 4 + 2 * 10) / (2 + 1)
= 24/3
= 8
P (5 , 8)
