The answer is 112 you have to add each of the sides up. There are 4 triangles 6x4 is 24 so 24x4 because there are 4 triangles and there is 1 square and if all of the sides are the same then it is 4x4 which is 16. Then you have 112 because, 24 x4 is 96 pulse 16 is 112
437 is your answer
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3)131.1
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21
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Answer:
The line that meets these conditions is y = 1.5x - 2.5
If you want to use fractions, it would be y = 3x/2 - 5/2
Step-by-step explanation:
To get a line perpendicular to y = -(2/3)x + 1, We can start by finding its slope. That's easy enough as a perpendicular slope is the negative reciprocal of the given one. As this has a slope of -2/3, our new slope has to be 3/2, or 1.5
All we need to do then is express that rate of change relative to the given point (-1, -4). We can do this by expanding the classic equation:
Δy = sΔx
We can write that as such:
y - (-4) = 1.5(x - (-1))
y + 4 = 1.5(x + 1)
y + 4 = 1.5x + 1.5
y = 1.5x + 1.5 - 4
y = 1.5x - 2.5
Or if you want to express those numbers as fractions, it would be y = 3x/2 - 5/2.
To make sure the answer's correct, we can simply plug -1 in as the x value, and see if we get y = -4:
y = 3(-1) / 2 - 5/2
y = -3 / 2 - 5 / 2
y = -8 / 2
y = -4
So we know that our answer is correct (assuming that the slope is correct, which it is - a perpendicular line always has the negative reciprocal of the other line's slope).
Answer:
Step-by-step explanation:
Since the figures are similar, the corresponding angles are congruent.
Corresponding angles are the angles with vertices with same order number in the name of the figures.
Angles V and E are corresponding as both are the second vertex:
Same for angles W and F (third vertex)
Answer:
f(n) = 2.8n + 0.7
Step-by-step explanation:
The form of the linear function is f(x) = m x + b, where
Let us solve the question
∵ The rule of the arithmetic sequence is a
= 3.5 + 2.8(n - 1), where
- a is the nth term ⇒ output
- n is the number of the term ⇒ input
→ To write it as a function replace a by f(n)
∵ a = f(n)
∴ f(n) = 3.5 + 2.8(n - 1)
→ Simplify the right side to make it in the form of the function above
∵ f(n) = 3.5 + 2.8(n) + 2.8(-1)
→ Remember (+)(-) = (-)
∴ f(n) = 3.5 + 2.8n - 2.8
→ Add the like terms in the right side
∵ f(n) = 2.8n + (3.5 - 2.8)
∴ f(n) = 2.8n + 0.7
