Answer:
x = 25
Step-by-step explanation:
The two angles form a straight line which is 180 degrees
2x+10 + 4x+20 = 180
Combine like terms
6x+30 = 180
Subtract 30 from each side
6x+30-30 = 180-30
6x = 150
Divide by 6
6x/6 = 150/6
x=25
Answer:
- Yes, vector u and vector v are equivalent vectors.
Step-by-step explanation:
The value of a vector is the difference between its terminal point and its initial point:
u = P2 -P1 = (6-8, 5-3) = (-2, 2)
v = P4 -P3 = (9-11, 10-8) = (-2, 2)
Vectors u and v are both (-2, 2), so are equivalent vectors.
Answer:
The answer is D.
Step-by-step explanation:
Well, all the equations are the same except for the symbol so you don't need to figure out the equation of the line.
Anyways, note that the line is dotted, which means it cannot be A nor B since they have an "equal to."
Also, note that the shaded region is above the graph. Since it is above, it means that y is greater than whatever x is.
Thus, the answer is D.
Expressions can be read as how many times you're multiplying a number by itself.
(1/2)^4 can be rewriten as (1/2)*(1/2)*(1/2)*(1/2), which simplifies to 1/16
solution: Mr. Schwartz will need to order more wheels after building 12 cars.
explanation:
Mr. Schwartz begins with total number of wheels = 85
he has to order more wheels once he left with less than 40 wheels
so min. no. of wheels he can use before ordering more wheels = 85-40 = 45
Mr. Schwartz uses 4 wheels to build 1 car
Mr. Schwartz uses 45 wheels to build 45÷4 = 11.25 cars
then, if he builds 12 cars then he needs 12×4 = 48 wheels
total supply of wheels he begins with = 85
wheels he used to build 12 cars = 48
so total number of wheels remaining are = 85-48 = 37
since 37 is less than 40 so after building 12 cars Mr. Schwartz need to order more wheels.