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OLEGan [10]
3 years ago
12

Point U is on line segment TV. Given UV = 2, TU = 5x, and TV = 3x + 6,

Mathematics
2 answers:
Anna007 [38]3 years ago
8 0

Answer:

TV = 12

Step-by-step explanation:

TV = TU + UV

3x + 6 = 5x + 2

Shift the unknowns to the left, constants to the right.

3x - 5x = 2 - 6

-2x = -4

Divide both sides by -2.

x = 2

Substitute x = 2 into the equation for TV (3x + 6),

3x + 6

= 3(2) + 6

= 6 + 6

= 12

amm18123 years ago
5 0

Answer:

b

Step-by-step explanation:

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Please help! 10th grade geometry
yuradex [85]

Answer:

m∠C = 118°

Step-by-step explanation:

180 - 56 = 124°

124 ÷ 2 = 62°

180 - 62 = 118°

m∠C = 118°

5 0
2 years ago
Which of the following is the graph of the quadratic function? y=x^2+4-12
tiny-mole [99]

Answer:

Graph B

Step-by-step explanation:

The solutions to a quadratic equation are the points on which we have the graph of the curve touching the x-axis

Now the first thing we will do here is to solve the quadratic equation graph;

x^2 + 4x -12 = 0

x^2 +6x - 2x -12 = 0

x (x + 6) -2(x + 6) = 0

(x-2)(x + 6) = 0

x = 2 or -6

So the graph that touches the x-axis at the points x = 2 and x = -6 is the solution to the quadratic equation

Graph B is the closest to what we have as answer

5 0
3 years ago
One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. One serving of a certain br
alexandr1967 [171]

Answer: 50 calories

Step-by-step explanation:

One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. The fraction that comes from fat:

= 90/150 = 3/5

One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. The fraction that comes from fat here:

= 12/120 = 1/10

The fat that are provided by a 100 calorie serving of the microwave popcorn would be:

= 3/5 × 100

= 60

The fat that are provided by a 100-calorie serving of the pretzels would be:

= 1/10 × 100 = 10

The difference from fat that are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels would be:

= 60 - 10

= 50 calories

6 0
2 years ago
Which graph represents the solution set to this system of equations? <br> Y=-1/2x+3 and y= 1/2x-1
Juliette [100K]
Hey there, I hope I can be of assistance today!
While there are no graphs, I can provide you with the graph to answer your question assuming you have choices of graphs!

Hope this helps!

7 0
3 years ago
Read 2 more answers
What kind of angle is formed by the tangent to a circle and a radius of that circle?
Vsevolod [243]
A tangent is always perpendicular to the radius at the point of tangency.

A right angle.
6 0
3 years ago
Read 2 more answers
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