Answer:
G. ![\frac{3.2}{2} = \frac{a}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3.2%7D%7B2%7D%20%3D%20%5Cfrac%7Ba%7D%7B8%7D%20)
Step-by-step explanation:
Given that figure I and figure II are similar, it follows that the ratio of their corresponding side lengths are equal and the same.
Thus:
![\frac{3.2}{2} = \frac{a}{8} = \frac{8}{5} = \frac{6.4}{b}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3.2%7D%7B2%7D%20%3D%20%5Cfrac%7Ba%7D%7B8%7D%20%3D%20%5Cfrac%7B8%7D%7B5%7D%20%3D%20%5Cfrac%7B6.4%7D%7Bb%7D%20)
Therefore, the proportion that must be true is:
✔️![\frac{3.2}{2} = \frac{a}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3.2%7D%7B2%7D%20%3D%20%5Cfrac%7Ba%7D%7B8%7D%20)
Answer:
(–5, –7)
Step-by-step explanation:
From the question given above, the following data were obtained:
Slope = 9/5
Coordinate 1 = (–10, –16)
x₁ = –10
y₁ = –16
Coordinate 2 = (x₂, y₂)
Next, we shall determine the change in x and y coordinate. This can be obtained as follow:
Slope = change in y–coordinate / change in x–coordinate
Slope = Δy / Δx
Slope = 9/5
9/5 = Δy / Δx
Thus,
Δy = 9
Δx = 5
Next, we shall determine the second coordinates as follow:
Δy = y₂ – y₁
Δx = x₂ – x₁
For x–coordinate:
x₁ = –10
Δx = 5
Δx = x₂ – x₁
5 = x₂ – (–10)
5 = x₂ + 10
Collect like terms
x₂ = 5 – 10
x₂ = – 5
For y–coordinate:
y₁ = –16
Δy = 9
Δy = y₂ – y₁
9 = y₂ – (–16)
9 = y₂ + 16
Collect like terms
y₂ = 9 – 16
y₂ = – 7
Coordinate 2 = (x₂, y₂)
Coordinate 2 = (–5, –7)
Answer:
33.33%
Step-by-step explanation:
- Number of boys=10
- Number of girls=20
- Total number of students=
Number of boys + Number of girls
10+20
30
10/30×100%
33.33%
Answer:
7.28937 x 10¹¹
Step-by-step explanation:
728,937,000,000
= 7.28937 x 100,000,000,000
= 7.28937 x 10¹¹
Answer:
C:4 cm, 8 cm, 5 cm
Step-by-step explanation:
sum of length of any two sides of a triangle will be larger than the third side.