Answer:
140°
Step-by-step explanation:
<u>Given:</u>
Dana draws a triangle with one angle that has a measure of 40∘.
<u>Question asked:</u>
What is the measure of the angle’s adjacent exterior angle?
Solution:
<u>As we know:</u>
<u><em>Sum of the adjacent interior and exterior angles is 180°.</em></u>
Interior angle = 40°
Adjacent exterior angle = ?
Interior angle + Adjacent exterior angle = 180°
40° + Adjacent exterior angle = 180°
<u>By subtracting both sides by 40°</u>
40° - 40° + Adjacent exterior angle = 180° - 40°
Adjacent exterior angle = 140°
Therefore, the measure of the angle’s adjacent exterior angle will be 140°.
Answer:
Explanation:
fg(x) = (x+2)(3x^2 - 1)
= 3x^3 - x + 6x^2 - 2
= 3x^3 + 6x^2 - x - 2
gf(x) = (3x^2 - 1)(x + 2)
= 3x^3 + 6x^2 - x - 2
As you can see:
fg(x) = gf(x)
3x^3 + 6x^2 - x - 2 = 3x^3 + 6x^2 - x - 2
See photo for solution and mark me as brainliest if you think i helped!
Answer:
32$ < x < 48$
Step-by-step explanation:
Erika estimates that her destination is between 200 and 300 miles away.
When we divide 200 with 25 miles we get 200/25 = 8 gallons
When we divide 300 with 25 miles we get 300/25 = 12 gallons
When we multiply 8 · 4 = 32$ we get amount of money for destination
200 miles x = 32$
When we multiply 12 · 4 = 48$ we get amount of money for destination
300 miles x = 32$
Since that the estimate destination is between 200 miles and 300 miles
then the best estimate for the amount of money is between
32$ < x < 48$
God with you!!!
Answer: y = (-4/5)x + 8
Solution
The equation of line is
y = mx + b
Where
y = y coordinate
m = slope
x = x coordinate
b = y intercept
In order to write the equation of line we need to find the y-intercept (b)
substitute the slope (-4/5) and coordinates given (0,8) ,
y = mx + b
8 = -4/5 (0) + b
8 = b
So,
y = (-4/5)x + 8
