Answer: angle 1=129 degrees
Step-by-step explanation:
180 - 99 - 30 = 51
all the angles of a triangle should add up to be 180 degrees
51+99+30=180
angle 1 is supplementary to the angle that is 51 degrees so it would be 129 degrees. 180-51=129
Answer:
x = 37
Step-by-step explanation:
2x + 9 = 83
-9 -9
2x = 74
--- ----
2 2
x = 37
Answer:
240 miles
Step-by-step explanation:
Given that:
Charges offered by Prestige car rentals for renting a midsize vehicle:
Fixed charges = $47
Per mile charges for renting a midsize vehicle = $0.07
Charges offered by Gateway Auto for renting a midsize vehicle:
Fixed charges = $35
Per mile charges for renting a midsize vehicle = $0.12
To find:
Number of miles for which both the companies charge the same price?
Solution:
Let the number of miles for which both the companies will charge the same price =
miles
Charges for one mile by Prestige car rentals = $0.07
Charges for
miles by Prestige car rentals = $0.07
Total charges by Prestige Car rentals = $47 + $0.07
Charges for one mile by Gateway Auto = $0.12
Charges for
miles by Gateway Auto = $0.12
Total charges by Gateway Auto = $35 + $0.12
As per question statement, the charges are same:

Answer:
-5x^2 - 25x + 18
Step-by-step explanation:
-3x ( x + 8 ) + x + 2 ( 9 - x - x^2 ) ( original equation )
-3x^2 - 24x + x + 18 - 2x - 2x^2 ( distribute )
-3x^2 - 2x^2 - 24x + x - 2x + 18 ( order them based on the variables . )
( -3x^2 - 2x^2 ) (- 24x + x - 2x ) ( + 18 ) ( just separated them not a part of solving !! )
-5x^2 - 25x + 18 ( solved , and the answer :) )
Hope its helps !!!
Answer: C. 13 + 8x = 45
Step-by-step explanation:
She already has 13 dollars. This would be the b-value in the equation, thus eliminating options A and B because those two feature 13 as the m value.
She earns $8 per hour. Let x = number of hours walking dogs.
Since 8 is the slope, it would be attached to x, thus either C or D would be the correct response
Since Grace is adding 8 dollars per hour, not subtracting, D is incorrect, leaving C to be the correct answer.