Answer:
The length of the line segment UV is 76 units
Step-by-step explanation:
In a triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length
In Δ ONT
∵ U is the mid-point of ON
∵ V is the mid-point of TN
→ That means UV is joining the mid-points of two sides
∴ UV // OT
∴ UV = 
OT
∵ UV = 7x - 8
∵ OT = 12x + 8
∴ 7x - 8 = (12x + 8)
→ Multiply the bracket by
∵ (12x + 8) = (12x) + (8) = 6x + 4
∴ 7x - 8 = 6x + 4
→ Add 8 to both sides
∴ 7x - 8 + 8 = 6x + 4 + 8
∴ 7x = 6x + 12
→ Subtract 6x from both sides
∴ 7x - 6x = 6x - 6x + 12
∴ x = 12
→ Substitute the value of x in the expression of UV to find it
∵ UV = 7(12) - 8 = 84 - 8
∴ UV = 76
∴ The length of the line segment UV is 76 units
Answer:
decreasing
Step-by-step explanation:
since its negative it will slope down
Answer:
1. The right triangles pass the AA similarity congruence theorem.
2. s/q
Step-by-step explanation:
They are similar since they pass the AA( Angle-Angle) similarity theorem.
Similar triangles have corresponding proportional sides so side z corresponds with side s and side x corresponds with q so we would represent that as
s/q
So every 5 inches in height, there are 32 marbles. You want to know how many marbles there are per 18 inches in height.
To get from 5 to 18, you multiply by 3.6.
Do the same thing to the numerator; 32 × 3.6 = 115.2.
Since 0.2 marbles is no marbles, you round down.
There are 115 marbles in the box.
♡ Hope this helps! ♡
❀ 0ranges ❀
Answer:
choice c. x = 6
Step-by-step explanation:
b(x) = (x+41, what is b—10)
it looks like b = x + 4
b = 10, then
10 = x + 4,
x = 6
