Answer:
x = 24 , y = 19
Step-by-step explanation:
(2x + 13) and 47 + 3x are same- side interior angles and sum to 180° , so
2x + 13 + 47 + 3x = 180 , that is
5x + 60 = 180 ( subtract 60 from both sides )
5x = 120 ( divide both sides by 5 )
x = 24
Then 3x = 3 × 24 = 72
5y - 23 and 3x are corresponding angles and are congruent , then
5y - 23 = 72 ( add 23 to both sides )
5y = 95 ( divide both sides by 5 )
y = 19
Answer:
(-∞,∞)
Step-by-step explanation:
The domain is all possible x values of the function
There are no constraints or holes for this and therefore the domain is all real numbers
Answer:
Step-by-step explanation:
Given:
1.
2.
3.
4.
5.
6.
7.
8.
Answer:
Miles: 35; Gallons: 1
Step-by-step explanation:
The number of gallons can be any number of your choosing that is less than 12, which is the capacity of the tank. For the purpose here, 1 is a convenient number. To find the corresponding number of miles (m), you need to solve the proportion ...
420/12 = m/1
35 = m
(miles, gallons) = (35, 1) . . . a suitable choice for the table values
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<em>Additional comment</em>
If your sense of symmetry is offended by choosing 1 for Gallons, you can choose 10, a number halfway between 12 and 8. In that case, your proportion is ...
420/12 = m/10 ⇒ m = 350
Then, your entry would be ...
(miles, gallons) = (350, 10)
15 divided by 3 is 5
15 - 3=13