Answer:
- A. f(x) = 6.5x
- B. f(x) = 3x - 2
Step-by-step explanation:
<h3>Table A</h3>
This is proportional relationship
<u>The function is:</u>
<h3>Table B</h3>
<u>The slope is:</u>
<u>The y-intercept is:</u>
<u>The function is:</u>
a. The value of x is 7
b. The measure of ∠1 is 99°
<h3>Calculating angles </h3>
From the question, we are to solve for x
From the given diagram, we can write that
m∠NMQ + m∠MQN + m∠QNM = 180° (<em>Sum of angles in a triangle</em>)
From the given information,
m∠NMQ = 5x +19
m∠MQN = 8x -11
m∠QNM = 11x + 4
Then,
5x + 19 + 8x -11 + 11x + 4 = 180
Collect like terms
5x + 8x + 11x = 180 - 19 + 11 - 4
24x = 168
∴ x = 168/24
x = 7
Hence, the value of x is 7
b.
Measure of ∠1 + m∠QNM = 180° (<em>Sum of angles on a straight line</em>)
∴ Measure of ∠1 = 180° - m∠QNM
But m∠QNM = 11x + 4
∴ m∠QNM = 11(7) + 4
m∠QNM = 77 + 4
m∠QNM = 81°
Then,
Measure of ∠1 = 180° - 81°
Measure of ∠1 = 99°
Hence, the measure of ∠1 is 99°
Learn more on Calculating angles here: brainly.com/question/25716982
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Answer:
<h2>
y - 2 = -⁶/₅x</h2>
Step-by-step explanation:
The point-slope form of the equation of the line passing point <em>(x₁, y₁)</em> and with the slope of <em>m</em> is: y - y₁ = m(x - x₁)
m = -⁶/₅
Y-Intercept = 2 ⇒ point (0, 2) ⇒ x₁ = 0, y₁ = 2
Point-Slope Form: <u> y - 2 = -⁶/₅(x - 0)</u>
If you put them in desmos online it works
Answer:
(2,4)
Step-by-step explanation:
that would be the answer because when you reflect it over the Y axis you are making the y turn into a + or - depending on what it already is if y=-4 when you reflect it over the y it would be y=4