The measure of angle BC (m ∠BC) is 90°
<h3>Perpendicular lines</h3>
From the question, we are to determine the measure of angle BC
From the given information, we have that
B P ⊥ P C
This means line BP is <u>perpendicular</u> to line PC
The angle between two perpendicular lines is 90°
Hence, the measure of angle BC (m ∠BC) is 90°.
Learn more on Perpendicular lines here: brainly.com/question/138956
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First we calculate 20% of the price:
20% of 30$ is 0.2*30$=6$.
Then we subtract 6$ (that is 20% of the price) from 30$, and get 24$.
Thus, the sale price is 24$
Answer:
f(-6) = -21
Step-by-step explanation:
Substitute x = -6 into f(x):
f(-6) = 3(-6) + (-6 ÷ 2)
= -18 - 3
= -21
Answer:
k = 2
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 )
y = - 3x + 5 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus the 2 points have a slope of - 3
calculate the slope using the slope formula and equate to - 3
m = 
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)
m = 
= 
= - 3 ( multiply both sides by (k - 4) )
- 3(k - 4) = 6 ( divide both sides by - 3 )
k - 4 = - 2 ( add 4 to both sides )
k = 2
