Answer:
Reason:
1) assumptions given
2) RUTS is a rectangle
3) RUTS is a rectangle
4) because:
+) ∠STU and ∠SRU are the right angles
+) RU = ST; UT = RS
=> ΔURS ≅ ΔSTU (SAS)
5) because ΔURS ≅ ΔSTU (SAS) => ∠USR = ∠SUT
Step-by-step explanation:
<h3><u>The length is equal to 25.</u></h3><h3><u>The width is equal to 15.</u></h3>
l = 2w - 5
2l + 2w = 80
We have a value for l, so we can plug it into the second equation to solve for w.
2(2w - 5) + 2w = 80
Distributive property.
4w - 10 + 2w = 80
Combine like terms.
6w - 10 = 80
Add 10 to both sides.
6w = 90
Divide both sides by 6.
w = 15
Now that we have a value for w, we can plug it into the original equation to solve for l.
l = 2(15) - 5
l = 30 - 5
l = 25
Answer:
(9b + 3c + 10d)cm
Step-by-step explanation:
Given the sides of a triangle expressed as (2b+c), (7b + 4d) and (6d+2c). The perimeter of the triangle is the sum of all the sides of the triangles.
Perimeter of the triangle = 2b+c + 7b+4d + 6d+2c
Perimeter of the triangle = 2b + 7b + c + 2c + 4d + 6d
Perimeter of the triangle = 9b + 3c + 10d
Hence the perimeter of the triangle is (9b + 3c + 10d)cm
Answer:
372 feet^2
Step-by-step explanation:
A=LW
A=(15 1/2)(12)=(31/2)(12)=(31/2)(24/2)=744/2=372
Given situation : 0.5 pound of peaches selling for 0.80 dollars/ pound
0.7 pound of oranges selling for 0.90 dollars / pound.
Solution
Given number 1 : Peaches
=> 0.5 pound = meaning, ½ pound is available, And 1 pound of it costs 0.80 dollars.
Let’s solve:
=> 0.80 dollars * 0.5
=> 0.40 dollars – the price of the peaches.
Given number 2 : Oranges
=> 0.7 pounds of oranges, meaning less than 1 pound. And 1 pound costs 0.90 dollars
Let’s solve to get the anwer
=> 0.7 * .90
=> 0.63 dollars – the costs of 0.7 pounds of oranges,
