Answer:
look, equation ii and vi are contradicting each other....
Step-by-step explanation:
after eliminating those equation you can find the value of x and y.
y=-6
x=3
Given that Point T is on line segment SU, the numerical value of segment TU is 12.
<h3>What is the numerical value of TU?</h3>
Given the data in the question;
- Point T is on line segment SU
- Segment SU = 3x-7
- Segment ST = x+7
- Segment TU = x-1
- Numerical value of Segment TU = ?
Since Point T is on line segment SU.
Segment SU = Segment ST + Segment TU
Plug in the given values and solve for x
3x - 7 = ( x+7 ) + ( x-1 )
3x - 7 = x + 7 + x - 1
3x - 7 = 2x + 6
3x - 2x = 6 + 7
x = 13
Next, we determine the numerical value of TU
Segment TU = x-1
Plug in value of x
Segment TU = 13 - 1
Segment TU = 12
Given that Point T is on line segment SU, the numerical value of segment TU is 12.
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Answer:
60mph
Step-by-step explanation:
Let d be the distance. Let v be the speed of car a. That means the speed of car b is v + 15. Now we can set up 2 equations using the v = d/t:
Car a: v = d / 2 --> d = 2v
Car b: v + 15 = d / 1.5
We can solve for v by substituting the first equation (rearranged to isolate d) into the second:
v + 15 = 2v / 1.5
1.5v + 22.5 = 2v
0.5v = 22.5
v = 45
We're looking for the speed of car b, which was v + 15 = 45 + 15 = 60.
Answer:
3cm²
Step-by-step explanation:
Since the sizes are square tiles, to know the tile's side lengths that Dorian need to estimate, we will use the formula for calculating the area of q square
Area of a square = L²
L is the side length of the tiles
For the tiles with area 7cm²
7 = L²
L² = 7
L = √7
L = 2.65cm
For tiles with area 5cm²
5 = L²
L² = 5
L = √5
L = 2.24cm
For tiles with area 9cm²
9 = L²
L² = 9
L = √9
L = 3.0cm
Since for all the square tiles the length of the tile is ≤ 3 cm, then the tile's side lengths that Dorian will need to estimate is approximately 3cm