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guapka [62]
3 years ago
11

3. In ΔABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, in inches?

Mathematics
1 answer:
Nonamiya [84]3 years ago
4 0

Answer:

2< AC<8

Step-by-step explanation:

For a triangle to exits sum of two sides must always be greater than the the third side

⇒ AC<  AB+ BC =5+3=8 in

⇒AC<8 in

Also, the  difference of the two sides must be smaller than the length of third side

⇒ AC> | AB-BC| = |5-3| =2

AC> 2 in

therefore,  we can say  2< AC<8. Hence, AC can takes 3,4,5,6 values

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storchak [24]
Set the 2x - 1 equal to 9 then work backwards. 2x - 1 = 9 Nine minus one is eight divided by two is four. X = 4
4 0
2 years ago
Name 3 numbers that are multiples of 4 and 8
motikmotik
16, 24, 32
and it goes on, and on.
5 0
3 years ago
Write an equation of the line passing through the point A(2, 0) that is parallel to the line y = 3x−5 .
sammy [17]
Hello,

In order for lines to be parallel to each other, they need to have the same slope. So, let's plug in the points and slope for point-slope form.

The equation for point-slope form is: y-y1 = m (x-x1)

Let's plug in the points into the equation. 
y-5 = m (x-0), and then let's plug in the slope for "m" : y-5 = 3 (x-0).

After plugging the numbers in, the equation is simplified to y-5 = 3 (x-0). Then distribute the 3 to the parenthesis. y-5 = 3x. To get y by itself, you need to add 5 to both sides. After that, the equation parallel to that equation is: y = 3x + 5.

Hope this helps! =)
4 0
2 years ago
Even though the population standard deviation is unknown, an investigator uses z rather than the more appropriate t to test a hy
alexandr1967 [171]

Answer:

The true true level of significance of this test is more than 0.01.

Step-by-step explanation:

No standard deviation and we are told that the investigator still used z rather than the more appropriate t - distribution.

This method of using the z-distribution when standard deviation is unknown will definitely result in a smaller critical value and this in turn simply means that the p-value will be smaller than what it should really be.

Thus, it means the critical value is getting closer to the mean value than the way it should be.

Therefore, means that for a given significance of 0.01 and using the z-distribution under this no standard deviation situation, the true true level of significance of this test is more than 0.01.

8 0
3 years ago
What is the simplest form of the fraction 120/150?
kolbaska11 [484]

Answer:

4/5

Step-by-step explanation:

120/30=4

150/30=5

120/150=4/5

6 0
2 years ago
Read 2 more answers
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