Answer:
A
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
(4x + 11) is an exterior angle of the triangle , then
4x + 11 = 3x - 24 + 2x
4x + 11 = 5x - 24 ( subtract 5x from both sides )
- x + 11 = - 24 ( subtract 11 from both sides )
- x = - 35 ( multiply both sides by - 1 )
x = 35 → A
Answer:
A rigid motion does not affect the overall shape of an object but moves an object from a starting location to an ending location
Step-by-step explanation:
Hope I helped
Answer: 30 people
In the first vineyard, it needs 25 people working for 9 days to finish 30 acres of vineyard. Using this information you can determine the worker speed. The number of worker and days were given will increase the speed, but the area of the vineyard will decrease it. The calculation would be:
Worker speed= worker number * times given / vineyard area
Worker speed= 25 people * 9 days / 30 acres = 7.5 people days /acres
Applying the same calculation into the second vineyard would be:
Worker speed= worker number * times given / vineyard area
7.5 people days /acres = worker number * 5 days / 20 acres
Worker number= (7.5 people days /acres ) / 5 days x 20 acres= 30 people
Answer:
False
Step-by-step explanation:
Answer:
The vertex is (6, -4)
Step-by-step explanation:
f(x) =(х – 8)(х – 4)
First find the zeros
0 = (х – 8)(х – 4)
0 = x-8 0 =x-4
x=8 x=4
The zeros are x=8 and x=4
The vertex is 1/2 way between the zeros
(8+4)/2 = 12/2 =6
To find the y value, substitute 6 into the function
f(6) = (6-8) (6-4)
= -2 (2) = -4
The vertex is (6, -4)
