Applying the definition of a linear pair, m∠TOS = 52°
<em>Recall:</em>
Linear pair are two angles on a straight line whose sum equals 180°.
Given:
- m∠TOU = 128°
- m∠SOV = (4x + 8)°
m∠TOU + m∠TOS = 180° (linear pair)
128° + m∠TOS = 180°
- Subtract 128° from both sides of the equation
m∠TOS = 180° - 128°
m∠TOS = 52°
Thus, applying the definition of linear pair, m∠TOS = 52°
Learn more about linear pair on:
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Answer:
50,722 =
50,000
+ 0
+ 700
+ 20
+ 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
x < 12
The y-intercept of linear function (f- g)(x) is (0,9)
<h3>How to determine the y-intercept?</h3>
The table of values is given as:
x -6 -4 -1 3 4
f(x) 15 11 5 -3 -5
g(x) -36 -26 -11 9 14
The equations of the functions is calculated using:
So, we have:
Evaluate
f(x) = -2x + 3
Also, we have:
Evaluate
g(x) = 5x - 6
Next, we calculate (f - g)(x) using:
(f - g)(x) = f(x) - g(x)
This gives
(f - g)(x) = -2x + 3 - 5x + 6
Substitute 0 for x
(f - g)(0) = -2(0) + 3 - 5(0) + 6
Evaluate
(f - g)(0) = 9
Hence, the y-intercept of (f- g)(x) is (0,9)
Read more about linear functions at:
brainly.com/question/24896196
#SPJ1
Hi Brainiac
2/5 + p = 4/5 + 3/5 p
Simplify
p + 2/5 = 3/5 p + 4/5
Subtract 3/5p from both sides
p + 2/5 -3/5p = 3/5p + 4/5 -3/5 p
2/5 p + 2/5 =4/5
Subtract 2/5 from both sides
2/5 p +2/5 -2/5 = 4/5 -2/5
2/5 p = 2/5
Divide both sides by 2/5
2/5 p / 2/5 = 2/5 /2/5
p = 1
I hope that's help:)
