Answer:
Step-by-step explanation:
<h3>Question 1</h3>
V and W are midpoints of RU and ST ⇒ VW is a midsegment
VW = 1/2(RS + UT) ⇒ RS = 2*VW - UT
<u>Substitute values:</u>
- 2x + 15 = 2(2x + 5) - (6x - 37)
- 2x + 15 = 4x + 10 - 6x + 37
- 2x + 15 = -2x + 47
- 2x + 2x = 37 - 15
- 4x = 22
- x = 5.5
RS = 2x + 15 = 2(5.5) + 15 = 11 + 15 = 26
Question 2
- Trapezoid given with congruent sides, JM = KL
- Angle J and K are congruent, both are (7x + 2)
- Angles M and L are congruent, both are (2x - 14)
<u>J and M are supplementary, so sum to 180°</u>
- 7x + 2 + 25x - 14 = 180
- 32x = 192
- x = 192/32
- x = 6
Rearranging to standard form
= (x - 7)^2 + (y + 5)^2 = -65 + 49 + 25
(x-7)^2 + (y+5)^2 = 9
so the centre is at (7,-5) and the radius is 3
so the circle will be entirely in Quadrant 4.
x = a number
7 + 2x = 21
Subtract 7 from both sides
2x = 14
Divide both sides by 2
x = 7
7 is the only number that makes this sentence true.
It is the opposite. There is nothing called same operation...
Answer:
1/4 miles.
Step-by-step explanation:
If I want to walk from my house to a clothing store 3/4 of a mile away, this implies that the location is 0.75 miles from my home.
Now, if after walking 1/2 mile I decide to stop, I will have traveled 0.5 miles in total. In this way, when I get back on my way, I will have to travel 0.25 miles to reach my destination (0.75 - 0.50).
Therefore, since 1 divided by 4 equals 0.25, I have to walk 1/4 mile to reach my destination.