hello
the points given are (-4, 47) and (2, -16)
let's find the intercept of this equation
now, since we know the value of the slope, we can use that in the standard equation on a straight line
the standard equation of a straight line is given as
we can pick any of the points and solve for intercept
let's use (2, -16)
now we know the value of intercept (c) = 5 and the slope (m) = 21/2
let's use this to write equation of the straight line
from the calculations above, the equation of the straight line is given as y = -21/2x + 5
Answer:
∠NMC = 50°
Step-by-step explanation:
The interpretation of the information given in the question can be seen in the attached images below.
In ΔABC;
∠ A + ∠ B + ∠ C = 180° (sum of angles in a triangle)
∠ A + 70° + 50° = 180°
∠ A = 180° - 70° - 50°
∠ A = 180° - 120°
∠ A = 60°
In ΔAMN ; the base angle are equal , let the base angles be x and y
So; x = y (base angle of an equilateral triangle)
Then;
x + x + 60° = 180°
2x + 60° = 180°
2x = 180° - 60°
2x = 120°
x = 120°/2
x = 60°
∴ x = 60° , y = 60°
In ΔBQC
∠a + ∠e + ∠b = 180°
50° + ∠e + 40° = 180°
∠e = 180° - 50° - 40°
∠e = 180° - 90°
∠e = 90°
At point Q , ∠e = ∠f = ∠g = ∠h = 90° (angles at a point)
∠i = 50° - 40° = 10°
In ΔNQC
∠f + ∠i + ∠j = 180°
90° + 10° + ∠j = 180°
∠j = 180° - 90°-10°
∠j = 180° - 100°
∠j = 80°
From line AC , at point N , ∠y + ∠c + ∠j = 180° (sum of angles on a straight line)
60° + ∠c + ∠80° = 180°
∠c = 180° - 60°-80°
∠c = 180° - 140°
∠c = 40°
Recall that :
At point Q , ∠e = ∠f = ∠g = ∠h = 90° (angles at a point)
Then In Δ NMC ;
∠d + ∠h + ∠c = 180° (sum of angles in a triangle)
∠d + 90° + 40° = 180°
∠d = 180° - 90° -40°
∠d = 180° - 130°
∠d = 50°
Therefore, ∠NMC = ∠d = 50°
Answer:
$855.65
Step-by-step explanation:
Multiply 785 by 0.09 to get the sales tax amount which is 70.65.
Add the sales tax amount to the price of the dining set to get cost after tax.
Solving the given equation, the value of v that makes the statement true is:
A. v = 8.
<h3>What is the given equation?</h3>
The equation is:
Hence:
Applying cross multiplication:
v - 8 = 0
v = 8.
Hence option A is correct.
More can be learned about equations at brainly.com/question/27882730
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Answer:
3
Step-by-step explanation: