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FrozenT [24]
3 years ago
5

Please help Question on picture

Mathematics
2 answers:
Mashutka [201]3 years ago
8 0

Answer: B) 36°, 72°, 72°

Step-by-step explanation:

Given: Isosceles triangle

In order to be classified as a triangle, the angle measures must add up to 180 degrees, in addition, since it is an isosceles triangle, two of the three angle measures must be the same, and two of the three sides must have the same length.

* use the given attachment for reference

Substituting in the value, "12" for "p" we get the following values:

3(12)=36, 6(12)=72, 6(12)=72

Neko [114]3 years ago
3 0

Answer:

36, 72, 72

Step-by-step explanation:

Since the angles are split into 3p, 6p, and 6p, you can think of the triangle as if it had no "p" variable, instead you can look at the angles as if they were ratios.

It would then be 3:6:6

In this case, you can simplify this and think of it as 1:2:2.

To find angles that correspond to this ratio, you can look at all the possible given answers and look for which would work when scaled down.

Out of all the given answers, 36, 72, 72 is the only one that works in the image.

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Answer:

The position vector of point C is <-3 , -17 , 8> or -3i - 17j + 8k

Step-by-step explanation:

* Lets revise how to solve the problem

- If the endpoints of a segment are (x1 , y1 , z1) and (x2 , y2 , z2), and

 point (x , y , z) divides the segment externally at ratio m1 :m2, then

 x=\frac{m_{1}x_{2}-m_{2}x_{1}}{m_{1} -m_{2}},y=\frac{m_{1}y_{2}-m_{2}y_{1}}{m_{1}-m_{2}},z=\frac{m_{1}z_{2}-m_{2}z_{1}}{m_{1}-m_{2}}

* Lets solve the problem

∵ AB is a segment where A = (3 , 1 , 2) and B = (1 , - 5 , 4)

∵ Point C lies on line AB such that AC : BC=3 : 2

∵ From the ratio AC = 3/2 AB

∴ C divides AB externally

- Lets use the rule above to find the coordinates of C

- Let Point A is (x1 , y1 , z1) , point B is (x2 , y2 , z2) and point C is (x , y , z)

 and AC : AB is m1 : m2

∴ x1 = 3 , x2 = 1

∴ y1 = 1 , y2 = -5

∴ z1 = 2 , z2 = 4

∴ m1 = 3 , m2 = 2

- By using the rule above

∴ x=\frac{3(1)-2(3)}{3-2}=\frac{3-6}{1}=\frac{-3}{1}=-3

∴ y=\frac{3(-5)-2(1)}{3-2}=\frac{x=-15-2}{1}=\frac{-17}{1}=-17

∴ z=\frac{3(4)-2(2)}{3-2}=\frac{12-4}{1}=\frac{8}{1}=8

∴ The coordinates fo point c are (-3 , -17 , 8)

* The position vector of point C is <-3 , -17 , 8> or -3i - 17j + 8k

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A. Slope of -2 and y intercept of 1
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Step-by-step explanation:

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So the first branch the consumer pays 6 dollars plus .10cents for any additional kWh (k)

In the second, they pay the same as the first up to 500kWh, and after that they pay  0.11 for the additional kWh above 500: (k-500) but bellow 1000

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