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kherson [118]
3 years ago
9

Angle 1 and Angle 2 are supplementary. If m∠1=27° , what is m∠2 ?

Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0
Suppose m∠1 = x degree

m∠2 = 17 x degree

As angle 1 & 2 are supplementary angles so

m∠1 +m∠2 =180 degree...... eq 1
Substituting the values of angle 1 & 2 in eq 1, we get

x +17x =180
18x=180
x= 180/18 =10 degree
17 x= 170 degree
m∠1 = 10 degree m∠2 = 170 degree.
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Black_prince [1.1K]

Answer:

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Step-by-step explanation:

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2 years ago
I need help?! Please
natali 33 [55]

Answer:

a=5

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Step-by-step explanation:

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3 years ago
SOMEONE PLZ HELP ME!!!! I WILL GIVE BRAINLIEST!!!
MAXImum [283]

Answer:

Step-by-step explanation:

Let the quadratic equation of the function by the points in the given equation is,

f(x) = ax² + bx + c

If the points lying on the graph are (-3, -10), (-4, -8) and (0, 8),

For (0, 8),

f(0) = a(0)² + b(0) + c

8 = c

For a point (-3, -10),

f(-3) = a(-3)² + b(-3) + 8

-10 = 9a - 3b + 8

9a - 3b = -18

3a - b = -6 --------(1)

For (-4, -8),

f(-4) = a(-4)² + b(-4) + 8

-8 = 16a - 4b + 8

-16 = 16a - 4b

4a - b = -4 ------(2)

Subtract equation (1) from equation (2)

(4a - b) - (3a - b) = -4 + 6

a = 2

From equation (1),

6 - b = -6

b = 12

Function will be,

f(x) = 2x² + 12x + 8

     = 2(x² + 6x) + 8

     = 2(x² + 6x + 9 - 9) + 8

     = 2(x² + 6x + 9) - 18 + 8

     = 2(x + 3)² - 10

By comparing this function with the vertex form of the function,

y = a(x - h)² + k

where (h, k) is the vertex.

Vertex of the function 'f' will be (-3, -10)

And axis of symmetry will be,

x = -3

From the given graph, axis of the symmetry of the function 'g' is; x = -3

Therefore, both the functions will have the same axis of symmetry.

y-intercept of the function 'f' → y = 8 Or (0, 8)

y-intercept of the function 'g' → y = -2 Or (0, -2)

Therefore, y-intercept of 'f' is greater than 'g'

Average rate of change of function 'f' = \frac{f(b)-f(a)}{b-a} in the interval [a, b]

                                                               = \frac{f(-3)-f(-6)}{-3+6}

                                                               = \frac{-10-8}{3}

                                                               = -6

Average rate of change of function 'g' = \frac{g(b)-g(a)}{b-a}

                                                                = \frac{g(-3)-g(-6)}{-3+6}

                                                                = \frac{7+2}{-3+6}

                                                                = 3

Therefore, Average rate of change of function 'f' is less than 'g'.

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3 years ago
On a piece of paper, graph y>x-1. Then determine which answer choice
zepelin [54]

The graph that matches the given equation is y≥x-1 is Graph A.

Option: C.

<u>Step-by-step explanation:</u>

The given equation y≥x-1 is a linear inequality equation.

Graphing Linear Inequalities differs from graphing regular linear equations. That is it has certain rules to be followed to draw the graph.

  1. First, rearrange the equation as y in the left and other terms in the opposite side.
  2. Check for the line: y= , y≤ and y≥ comes with straight line where as y< and y> comes with a dotted line.
  3. Shading: If y> greater than or y≥ greater than or equal is present then the space above the line has to be shaded. If y< less than or y≤ less than or equal  is present then the space below the line has to be shaded.

For the given equation y≥x-1,

The line will be solid passing through (0,-1) and (3,2) since it has y≥. Also, the region above the line is shaded.

So the graph A is the graph that matches the equation y≥x-1.

8 0
2 years ago
What is 56x13+15.... will mark brainliest whoever answers correctly the first time
ioda

Answer: 743

Step-by-step explanation:

56•13=728 728+15=743

8 0
3 years ago
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