LY = 5.2 , TY = 3.9
Δ LTN is a right triangle , ∠T = 90° , TY⊥LN
∴ TY² = LY * YN
∴ 3.9² = 5.2 * YN
∴ YN = 3.9²/5.2 = 2.925
∴ LN = LY + YN = 5.2 + 2.925 = 8.125
Δ LYT is a right triangle , ∠Y = 90°
LT² = LY² + YT² = 5.2² + 3.9² = 42.25
∴ LT = √42.25 = 6.5
Δ NYT is a right triangle , ∠Y = 90°
NT² = NY² + YT² = 2.925² + 3.9² = 23.765
∴ NT = √23.765 = 4.875
The preimeter of the rectangle LINT = 2 * (LT + TN)
= 2 * ( 6.5 + 4.875 )
= 2 * 11.375
= 22.75
Answer:
5 up and 2 to the right
Step-by-step explanation:
The center will be at the same spot as circle D, dilate by 3, then the dilation maps circle C into circle D.
Using a system of equations, it is found that there are 10 baskets that hold 4 meals in the shop.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given by:
- Variable x: Number of baskets that hold 2 meals.
- Variable y: Number of baskets that hold 4 meals.
There are 25 baskets in the shop, hence:
x + y = 25 -> x = 25 - y
They can hold a total of 70 meals, hence:
2x + 4y = 70
2(25 - y) + 4y = 70
2y = 20
y = 10
There are 10 baskets that hold 4 meals in the shop.
More can be learned about a system of equations at brainly.com/question/24342899
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If you would like to know the mean change in elevation per minute, you can calculate this using the following steps:
1200-foot ... 3 minutes
x-foot = ? ... 1 minute
1200 * 1 = 3 * x
1200 = 3 * x
x = 1200 / 3
x = 400-foot
The correct result would be 400-foot per minute.
All sides of a triangle have to add up to 180, so
(2v) + (3v) + (3v - 4) = 180
Simplify
8v - 4 = 180
+ 4 = +4
(8v = 184)/8
v = 23
