P + r + h = 10 <== mark
5p + 2r + 3h = 28 <== jessica
3p + 3r + h = 20 <== nate
p + r + h = 10
3p + 3r + h = 20...multiply by -1
--------------------
p + r + h = 10
-3p - 3r - h = -20 (result of multiplying by -1)
-------------------add
-2p - 2r = -10
p + r + h = 10...multiply by -3
5p + 2r + 3h = 28
---------------------
-3p - 3r - 3h = -30 (result of multiplying by -3)
5p + 2r + 3h = 28
--------------------add
2p - r = -2
-2p - 2r = -10
2p - r = -2
---------------add
-3r = -12
r = -12/-3
r = 4
2p - r = -2
2p - 4 = -2
2p = -2 + 4
2p = 2
p = 1
p + r + h = 10
1 + 4 + h = 10
5 + h = 10
h = 10 - 5
h = 5
Jessica downloaded : 5p + 2r + 3h = 28
5(1) + 2(4) + 3(5) = 28
5 + 8 + 15 = 28
28 = 28 (correct)......she got 5 pop, 8 rock, and 15 hip hop
Nate downloaded : 3p + 3r + h = 20
3(1) + 3(4) + 5 = 20
3 + 12 + 5 = 20
20 = 20 (correct)...he got 3 pop, 12 rock, and 5 hip hop
Mark downloaded : p + r + h = 10
1 + 4 + 5 = 10
10 = 10 (correct)....he got 1 pop, 4 rock, and 5 hip hop <===
Answer:
60
Step-by-step explanation:
60 is the number with the highest difference from all the other #
Answer:
d) A foundation may be a rectangle : 24² + 32² = 40²
Step-by-step explanation:
P.S - The exact question is -
Given - A builder set up a wooden frame in which to pour concrete for a foundation to a house. The length of the wooden frame is 24 feet. The width is 32 feet. The diagonal is 40 feet.
To find - Which best describes the foundation?
a) A foundation can not be a rectangle : 24 + 32 ≠ 40
b) A foundation can not be a rectangle : (24 + 32)² ≠ 40²
c) A foundation can not be a rectangle : √24² + 32² ≠ 40²
d) A foundation may be a rectangle : 24² + 32² = 40²
Proof -
We have to check whether the shape of the frame is rectangle or not.
As we know that,
A diagonal divides the rectangle in two right angle triangles
So,
Given that Length = 24
Width = 32
Diagonal = 40
By applying Pythagoras theorem, we get
40² = 24² + 32²
So,
The correct option is - d) A foundation may be a rectangle : 24² + 32² = 40²
Answer:
136=x
Step-by-step explanation:
When an angle is shown, the one opposite of it is equal to the forst equation. The bottom angles are equal to 360ñ so if you take 46x2=92. Subtract 92 by 360 to get 268. Divide it by 2 to get one of the bigger angles, which is 134 degrees. And as for the top, one angle on the bottom is equal to the same spot on the top. so, 136=x