Answer:
70
Step-by-step explanation:
From the question given above, the following data were obtained:
TU = 8x + 11
UV = 12x – 1
Next, we shall determine the value of x.
From the question:
U is the midpoint. This means that TU and UV are equal i.e
TU = UV
With the above idea in mind, we shall determine the value of x as follow:
TU = UV
TU = 8x + 11
UV = 12x – 1
8x + 11 = 12x – 1
Collect like terms
11 + 1 = 12x – 8x
12 = 4x
Divide both side by the coefficient of x i.e 4
x = 12/4
x = 3
Next, we shall determine the length of TU and UV. This can be obtained as follow:
TU = 8x + 11
x = 3
TU = 8(3) + 11
TU = 24 + 11
TU = 35
UV = 12x – 1
x = 3
UV = 12(3) – 1
UV = 36 – 1
UV = 35
Finally we shall determine the length of TV. This can be obtained as follow:
TV = TU + UV
TU = 35
UV = 35
TV = 35 + 35
TV = 70
Therefore, the distance between my house and grandma's house is 70.
NOTE: Assume the distance is measured in kilometer (km)
This means that I will travel 70 km from grandma's house to my house.
Answer: The answer is A) 3 1/4 miles
Step-by-step explanation: You just had to divide it
Hope this helps!!
90+80+90+x=360
260+x=360
x=100
Answer:
6
Step-by-step explanation:
You can memorize these for the smaller shapes
for equilateral polygons:
triangle: 60
square: 90
pentagon: 108
hexagon: 120
Otherwise, I believe the formula is the total degrees in a polygon (s-2)*180 where s is the number of sides.
So the measure of each angle on average would be (s-2)*180/s.
There (s-2)*180/s = 120
180(s-2) = 120s
180s-360 = 120s
60s = 360
s = 6
