We want to use elimination to solve
y = 0 (1)
x + y = 40 (2)
Multiply (1) by -1 to eliminate y.
-y = 0 (3)
Add (2) and (3).
x + y + (-y) = 40 + 0
x = 40
Answer: Multiply by -1.
58 212 2800 900
/ \ / \ / \ / \
29 2 2 106 700 4 3 300
/ \ / \ / \ / \
2 53 70 10 2 2 3 100
/ \ / \ / \
7 10 5 2 2 50
/ \ / \
5 2 5 10
/ \
5 2
The prime factors are in bold.
Answer:
22 3/4 ft
Step-by-step explanation:
The diagram seems to show a 6 1/2 ft person casting a 9 ft shadow at the same time a flagpole is casting a 31 1/2 ft shadow. You want the height of the flagpole.
<h3>Proportion</h3>
Shadow lengths are presumed proportional to the height of the object making them. This means ...
h/(31 1/2) = (6 1/2)/9 . . . . . all lengths in feet
Multiplying by 31 1/2, we get ...
h = (31 1/2)(6 1/2)/9 = (819/4)/9 = 91/4
h = 22 3/4 . . . . ft
The flagpole is 22 3/4 feet tall.
Answer:
4.5 m
Step-by-step explanation:
The area of two similar triangles are 75 m2 and 300 m2. This gives you the scale factor of the triangles:
Then you can find the length of the corresponding side:
Answer:
-66
Step-by-step explanation:
- 13, ____, -119
first, find the common difference:
-13 - (-119) = 106
next, divide 106 by 2: 
= 53
so, the common difference is 53.
now, subtract 53 from -13:
-13 - 53 = -66
