Answer:
33
Step-by-step explanation:
1. (x-10)+67=90 because it's a 90 degree angle
2.subtract 67: x-10=23
3. add 10: x=33
180 - 138 = 42°
90 + 42 = 132°
180 - 132 = 42° = m
-
90 + 42 + 2n = 180
132 + 2n = 180
- 132
2n = 48
÷ 2
n = 24°
-
Hope this helps! Let me know if you have any questions :)
Answer:
2x + y - 1 = 0
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x - 2y + 4 = 0 ( subtract x + 4 from both sides )
- 2y = - x - 4 ( divide all terms by - 2 )
y = 
x + 2 ← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 2 , thus
y = - 2x + c ← is the partial equation of the perpendicular line
To find c substitute (1, - 1) into the partial equation
- 1 = - 2 + c ⇒ c = - 1 + 2 = 1
y = - 2x + 1 ← in slope intercept form
Subtract - 2x + 1 from both sides
2x + y - 1 = 0 ← in general form
Answer:
(f + g)(x) = 7x - 1
Step-by-step explanation:
Given : f(x) = 5x – 2 and g(x) = 2x + 1
We have to find (f + g)(x)
Consider (f + g)(x) = f(x) + g(x)
Also, given f(x) = 5x – 2 and g(x) = 2x + 1
Substitute, we have,
f(x) + g(x) = 5x - 2 + 2x + 1
LIKE TERMS are terms having same variable with same degree.
Simplify by adding like terms, we have,
f(x) + g(x) = 5x + 2x - 2 + 1
f(x) + g(x) = 7x - 1
Thus, (f + g)(x) = 7x - 1
Answer:
Priya got it right.
Step-by-step explanation:
I wouldn't have done it the way she did, but it's still correct. You can check with a calculator (if Khan Academy allows you to) or do it like this:
If f = 4, then f ÷ 0.25 should be 16.
4 ÷ 0.25 = 16
So, Priya got it right.
