<u><em>Answer:</em></u>
x = 3
<u><em>Explanation:</em></u>
The complete question is shown in the attached diagram
<u>Collinear points</u> are defined as points that lie on the same straight line
Since points U, T and V are given to be collinear, this means that these three points lie on the same straight line
Now, we are given that point U is between points T and V
This would mean that the length of segment TV can be written as the sum of the segments TU and UV
<u>Therefore:</u>
TV = TU + UV
<u>We are given that:</u>
TV = 14x - 8
TU = 9x + 2
UV = 5
<u>Substitute with the givens in the above mentioned equation and solve for x as follows:</u>
TV = TU + UV
14x - 8 = 9x + 2 + 5
14x - 8 = 9x + 7
14x - 9x = 7 + 8
5x = 15
x = 3
Hope this helps :)
Answer:
The sine ratio is the ratio between the opposite side over hypotenuse. The cosecant ratio is the ratio between the hypotenuse over the opposite side, therefore cosecant is the reciprocal of sine.
To find a missing angle using sine, you would need to use the inverse of sine. For example, if the sine was 
, to find the angle you would need to find sin⁻¹ of which is x = sin⁻¹ (0.75). Therefore x equals approximately 49°.
Step-by-step explanation:
ℎ = -4, -3×(-4)+2 = 12+2 = 14
ℎ = -2, -3×(-2)+2 = 6+2 = 8
ℎ = 0, -3×0+2 = -3+2 = 2
ℎ = 3, -3×3+2 = -9+2 = -7
ℎ = 5, -3×5+2 = -15+2 = -13
Step-by-step explanation:
hold up bro. this doesn't even say what u actualy have to do . or is just so blurry
The x coordinate of J is -7. The x coordinate of K is 13. The x coordinates add up to -7+13 = 6. Divide this result in half to get 6/2 = 3. Therefore, the midpoint has an x coordinate of 3.
The y coordinate of J is -1. The y coordinate of K is -6. The y coordinates add up to -1+(-6) = -7. Divide this result in half to get -7/2. Therefore, the midpoint has a y coordinate of -7/2.
This is why the final answer is choice D) (3, -7/2)
