Answer:
<h2>
y - 5 = -3(x + 1)</h2>
Step-by-step explanation:
Parallel lines has the same slope.
The equation of a line that passing through point (x₁, y₁) with a slope of m is:
y - y₁ = m(x - x₁)
m = -3
(-1, 5) ⇒ x₁ = -1, y₁ = 5
Therefore the equation:
y - 5 = -3(x + 1)
Answer:
148 books
Step-by-step explanation:
Ratio given 1:2
Let's suppose the ratio as x : 2x
Adding the ratio = 3x
40 and 80 are in the ratio 1:2 of 120.
Hope it helps!!!
Answer:
Avery needs to pay $14.84
Step-by-step explanation:
When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:
Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:
The value to be paid is the product value plus the tax, therefore:
Avery needs to pay $14.84
The value of the variable x will be 37°. Then the measure of the angle ∠QNP will be 105°.
<h3>What is an angle?</h3>
The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The measure of angles ∠MNQ = (2x + 1)° and ∠QNP = (3x - 6)°.
Then the value of x will be
We know that the angles ∠MNQ and ∠QNP are supplementary angles. Then the value of the variable x will be
∠MNQ + ∠QNP = 180°
(2x + 1)° + (3x - 6)° = 180°
5x - 5° = 180°
5x = 185°
x = 37°
Then the measure of the angle ∠QNP will be
∠QNP = [3(37) - 6]°
∠QNP = 111° - 6°
∠QNP = 105°
The value of the variable x will be 37°. Then the measure of the angle ∠QNP will be 105°.
More about the angled link is given below.
brainly.com/question/15767203
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