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:
14/15
Step-by-step explanation:
1. Convert the fractions to have the same denominator
Remember that you can only add fractions with the same denominator
To find the common denominator, find the LCM of 5 and 3 which is 15.
-2/5 * 3/3 = -6/15 and 4/3 * 5/5 = 20/15
-6/15 + 20/15 = 14/15
hope this helps! <3
Answer:
The slope intercept form of both given equations is : y = - 3 x - 4.
Step-by-step explanation:
Here, the given equations are:
y +7 = -3 ( x - 1 )
and 3 x + y = - 4
Now,the SLOPE INTERCEPT FORM of any given equation is given as:
y = m x + C : here, C = Y - intercept, m = Slope
Consider equation (1):
y +7 = -3 ( x - 1 ) ⇒ y + 8 = - 3 x + 3
or, y = -3x + 3 - 7 = -3x - 4
⇒ y = -3x -4
Hence, the slope-intercept form of the given equation is y = -3x -4.
Consider equation (2):
3 x + y = - 4 ⇒ y = -4 - 3 x
⇒ y = -3 x - 4
Hence, the slope-intercept form of the given equation is y = -3x -4.
Answer:
1/16 or 0.0625
Step-by-step explanation:
we can take 4 outside the parentheses and we would get 4^(4-7+1)=4^(-2)= 1/(4^2)=1/16=0.0625.
Step-by-step explanation:
f(x) = (3/2)ˣ
g(x) = (2/3)ˣ
These are examples of exponential equations:
y = a bˣ
If b > 1, the equation is exponential growth.
If 0 < b < 1, the equation is exponential decay.
So f(x) is an example of exponential growth, and g(x) is an example of exponential decay.
Also, 2/3 is the inverse of 3/2, so:
g(x) = (3/2)^(-x)
So more specifically, f(x) and g(x) are reflections of each other across the y-axis.
