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Natali [406]
3 years ago
13

Corresponding angles of ΔABC and ΔDEF are congruent. Does this prove that the triangles are congruent? Justify.

Mathematics
2 answers:
Maksim231197 [3]3 years ago
7 0

no; AAA only guarantees similarity because the lengths of the sides of the two triangles are not necessarily equal.

Think about two equilateral triangles. Each triangle has three 60° angles; but, the side lengths of one of the triangles is not necessarily equal to the side lengths of the other triangle. So, they are similar, but they are not congruent.

Romashka [77]3 years ago
3 0
<span>C) The triangles could have the same shape but not necessarily the same size.

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Answer:

1

Explanation:

According to the Unit Circle, sin π\6 is ½, so we plug this into the cosine function to get this:

cos π\6 - π\6 → cos 0 >> 1

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

** I do not have Unit Circle video uploaded yet, but if I need to, just notify me in the comments or on of course, You-Tube.

*** Plus, we need to make sure that the x-value falls in between 0 and π\2, which it did, so no need to worry.

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4 years ago
Which is the asymptote of the graph?
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Answer:

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4 0
3 years ago
Jeri is a hairdresser. The table below shows the relationship between the number of clients she has per month, x, and her monthl
LenaWriter [7]
The given data is

  x       f(x)
----  --------
12          0
20     800
30    1800

where
x = number of clients per month
f(x) = monthly revenue

A graph of the data is shown below.
Let the equation of the line be
y = mx + c

The x-intercept is 12, therefore
12m + c = 0              (1)

The line passes through (30, 1800) and (12,0). Therefore the slope is
m = 1800/(30-12) = 100       (2)

From (1), obtain
c = -12m = -12*100 = -1200

Therefore
y = 100x - 1200

Answer: D. f(x) = 100x - 1200

3 0
3 years ago
Last season two running backs on the Steelers football team rushed or a combined total of 1550 yards. One rushed 9 times as many
Sidana [21]
First we define variables:
 x = distance traveled by player A
 y = distance traveled by player B
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 x = 9y
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 x = 1395
 y = 155
 Answer:
 
x = 1395 yards (player A)
 
y = 155 yards (player B)
3 0
4 years ago
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