Answer:
7.3
Step-by-step explanation:
The two triangles are similar, meaning that they have the same angles but the triangles are in different sizes. To solve this, use proportions:
Cross multiply:
Answer:
- 9th, 10th and 11th terms; 32, 37 and 42
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Given AP:
We observe that:
- The first term is a = - 8,
- The common difference is d = -3 - (-8) = 2 - (-3) = 5.
Let the three terms be aₙ, aₙ₊₁, aₙ₊₂.
Use nth term formula:
- aₙ = a + (n - 1)d = - 8 + (n - 1)*5 = - 8 + 5n - 5 = 5n - 13
The following two terms are:
- aₙ₊₁ = 5n - 13 + 5 = 5n - 8
- aₙ₊₂ = 5n - 8 + 5 = 5n - 3
Their sum is 111, set an equation and solve for n:
- 5n - 13 + 5n - 8 + 5n - 3 = 111
- 15n - 24 = 111
- 15n = 135
- n = 135/15
- n = 9
The three terms are 9th, 10th and 11th terms and they are:
- 5*9 - 13 = 45 - 13 = 32
- 32 + 5 = 37
- 37 + 5 = 42
The answer is -800.77
An example is if you had 1500 but you had a lown of 2300.
Answer:
C and D
Step-by-step explanation:
This is a comparision problem. (C)
The totla bar represents 30.8 miles. (D)
Caitlin ran 16.3 miles.
Hope this helps!
Answer:
x = 4 2/7
Step-by-step explanation:
2/3 x= -1/2x+5
Add 1/2 to each side
2/3 x 1/2 x = -1/2x+1/2x+5
2/3 x +1/2x =5
Get a common denominator
2/3x *2/2 + 1/2 *3/3 = 5
4/6x + 3/6x = 5
7/6x = 5
Multiply each side by 6/7 to isolate x
6/7 *7/6x = 5 *6/7
x = 30/7
Change to a mixed number
x = 28/7 + 2/7
x = 4 2/7