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Fittoniya [83]
3 years ago
14

An angle measures 124° more than the measure of a supplementary angle. What is the measure of each angle?

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0
The measurement of the other angles 56
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What is the equation of this parabola in vertex form
attashe74 [19]

first off, let's notice the parabola is a vertical one, therefore the squared variable is the x, and the parabola is opening upwards, meaning the coefficient of x² is positive.

let's notice the vertex, or U-turn, is at (-2, 2)

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \boxed{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{-2}{ h},\stackrel{2}{ k}) \\\\\\ y=+1[x-(-2)]^2+2\implies y=(x+2)^2+2

6 0
3 years ago
The sum of five consecutive multiples of 4 is 20.Find the smallest integer.
Aloiza [94]

Answer:

The smallest integer is -4.

Step-by-step explanation:

Let the smallest integer be x.

Since the integers are all multiples of 4, they are

=> x, x+4, x+8, x+12 and x+16

=> x + x+4 + x+8 + x+12 + x+16 = 20

=> 5x + 40 = 20

Subtract 40 from both sides of the equation

5x +40 - 40 = 20 - 40

5x = -20

Divide both sides by the coefficient of x(which is 5)

\frac{5x}{5} = \frac{-20}{5}

x = -4

∴ the smallest integer is -4.

Hope this helps!!!

6 0
2 years ago
Is circle Tangent lines
Sergio [31]

no because it is not a right angled triangle.

this means angle A is not 90° so AB cant be a tangent.

4 0
3 years ago
Write the equations for the line parallel and the line perpendicular to the given line passing through the given point.
pashok25 [27]

Answer:

10. y=2x+1                                              y = -1/2x +1

11. y=-1/3x +6                                          y = 3x -4

12. y=-5x-18                                            y=1/5x + 14/5

Step-by-step explanation:

To write the equation of a line we must have a slope and a point. To find the slope, we use the slope from the equations for parallel lines and modify it for perpendicular lines.

10. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.   The slope here is 2. The parallel slope is 2 and the perpendicular slope is the negative reciprocal or -1/2.

Parallel                                           Perpendicular

(y-1)=2(x-0)                                       (y-1)==-1/2(x-0)          

y-1=2x                                              y-1 = -1/2 x

y=2x+1                                              y = -1/2x +1

11. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.   The slope here is -1/3. The parallel slope is -1/3 and the perpendicular slope is the negative reciprocal or 3.

Parallel                                           Perpendicular

(y-5)=-1/3(x-3)                                        (y-5)=3(x-3)          

y-5=-1/3x+1                                            y-5 = 3x - 9

y=-1/3x +6                                              y = 3x -4

12. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.   The slope here is -5. The parallel slope is -5 and the perpendicular slope is the negative reciprocal or 1/5.

Parallel                                           Perpendicular

(y-2)=-5(x--4)                                           (y-2)=1/5(x--4)          

y-2=-5(x+4)                                              y-2 = 1/5(x +4)

y-2=-5x -20                                              y-2 = 1/5x +4/5

y=-5x-18                                                    y=1/5x + 14/5


4 0
3 years ago
Emery is depositing checks of $86.09, $311.53, and $12.62 into his checking account, and he wants to receive $225.00 cash back.
SpyIntel [72]
Your answer would be 185.24 due to cash back subtracting from deposits for the total on the green line
5 0
3 years ago
Read 2 more answers
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