Answer:
y = 5/3x +5
Step-by-step explanation:
The two-point form of the equation of a line is useful here.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (0 -(-5))/(-3 -(-6))(x -(-6)) -5
y = 5/3(x +6) -5
y = 5/3x +5 . . . . slope-intercept form
5x -3y = -15 . . . .standard form
_____
There is no "fully reduced" form of the equation of a line. There are slope-intercept form, point-slope form, two-point form, standard form, general form, intercept form, and some others. We assume that "fully reduced" applies to any fractions in the equation. The "slope-intercept" form has a fraction, so perhaps that's the form that is required.
Slope formula is the answer
20 dollars plus 5% adds a 1 dollar to get 21 dollars then 15% adds 3.15$ to get 24.15&
The size of angle PRQ is 15°
Step-by-step explanation:
In any regular polygon of n-sided
- All sides are equal in length
- All angles are equal in measure
- The measure of each interior angle is

- The measure of each exterior angle is

- The sum of the measures of the interior and exterior angle at the same vertex is 180°
∵ PQ and QR are two sides of a regular 12-sided polygon
∴ PQ = QR
∵ PR is a diagonal
∴ ∠PQR is an interior angle of the polygon
- By using the rule of the interior angle above
∵ n = 12
∴ m∠PQR = 
∴ m∠PQR = 150°
In Δ PQR
∵ PQ = QR ⇒ sides in a regular polygon
- Δ PQR is an isosceles Δ
∴ m∠PRQ = m∠RPQ ⇒ base angles of an isosceles Δ
The sum of the measures of the interior angles of a triangle is 180°
∵ m∠PQR + m∠PRQ + m∠RPQ = 180°
∴ 150 + m∠PRQ + m∠RPQ = 180°
- Subtract 150 from both sides
∴ m∠PRQ + m∠RPQ = 30
∵ m∠PRQ = m∠RPQ
- Divide their sum by 2 to find the measure of each one
∴ m∠PRQ = m∠RPQ = 30 ÷ 2 = 15°
∴ m∠PRQ = 15°
The size of angle PRQ is 15°
Learn more:
You can learn more about the triangles in brainly.com/question/3945600
#LearnwithBrainly
Answer:
x = 11
Step-by-step explanation:
4x + 7 = 6x -15
4x - 6x = -15-7
-2x = -22 / : (-2)
x = 11
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)