. If B is a complement of A, and C is a supplement of B, find these measures. A
equals 40

Answers

Answer 1
Answer: complementary angles add up to 90
so if A and B are complementary....and A = 40, then B = 90 - 40 = 50.

supplementary angles add up to 180
so if B and C are supplementary, and B = 50, then C = 180 - 50 = 130

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Is this an even or odd function? f(x)=5-3x

Answers

f(x)=5-3x \nx \in \mathbb{R}

A function is even if f(x)=f(-x) for every x in the domain.
f(x) \stackrel{?}{=} f(-x) \n5-3x \stackrel{?}{=} 5-3 * (-x) \n5-3x \stackrel{?}{=} 5+3x \n-3x-3x \stackrel{?}{=} 5-5 \n-6x \stackrel{?}{=} 0 \nx \stackrel{?}{=} 0 \nf(x)=f(-x) \Leftrightarrow x=0
f(x) is equal to f(-x) if and only if x=0, so the function isn't even.

A function is odd if -f(x)=f(-x) for every x in the domain.
-f(x) \stackrel{?}{=} f(-x) \n-(5-3x) \stackrel{?}{=} 5-3 * (-x) \n-5+3x \stackrel{?}{=} 5+3x \n3x-3x \stackrel{?}{=} 5+5 \n0 \stackrel{?}{=} 10 \n0 \not= 10 \n-f(x) \not= f(-x)
-f(x) is never equal to f(-x), so the function isn't odd.

The function is neither even nor odd.

The Moore family is adding a brick patio to their back yard. Mr. Moore is determining howmany square bricks he needs for his rectangular patio, as well as the cost. His sketch is
shown below and is not drawn to scale. Use the formula A=bh to help answer the questions
below.

Answers

I have attached an image showing the sketch and the questions to answer.

Answer:

7) $1.28 per brick paver

8) 64 Sq.inches

9) $0.02 per Sq.inches

10) 0.4444 Sq.ft

11) 120 Sq.ft

12) Number of paver to cover patio = 270

Cost of that number = $345.6

Step-by-step explanation:

7) from the image attached, we can see that a box of 12 pavers cost $15.36.

Thus,cost of each brick paver = 15.36/12

>> $1.28 per brick paver

8) we see on the right of the image attached that the dimension of the brick paver is 8 inches length and 8 inches width.

Thus; square inches is the area = 8 × 8 = 64 Sq.inches

9) 1 paver has an area of 64 Sq. Inches. Thus, 12 pavers has an area of;

12 × 64 = 768 Sq.inches

Since cost of 12 pavers is $15.36

Thus coat per Sq inches of the pavers = 15.36/768 = $0.02 per Sq.inches

10) To find the Sq.ft each paver would cover, we will first convert the dimensions of the paver to ft.

Thus;

Length of 8 inches = 8/12 ft

Width of 8 inches = 8/12 ft

Area = (8/12) × (8/12)

Area = 4/9 Sq.ft = 0.4444 Sq.ft

11) The patio measures;

Length = 12 ft

Width = 10 ft.

Thus;

Area = 12 × 10 = 120 Sq.ft

12) Each paver has an area of 4/9 Sq.ft.

Thus;

Number of pavers to cover the patio = area of patio/area of each paver

Number of pavers to cover patio = 120/(4/9) = 270 pavers

12 pavers cost $15.36

Thus, 270 pavers will cost;

270 × 15.36/12 = $345.6

The graph of the equation ax+3y=48 passes through the point (-3, 14). what value of A accurately completes the equation

Answers

Answer:

The value of a = -2

Step-by-step explanation:

Given the equation: ax + 3y =48   .....[1] and it is passes through the point (-3, 14).

To find the value of a which completes the equation;

Substitute the point (-3 , 14) i.e, x = -3 and y = 14 in [1] to solve for a;

a(-3) + 3(14) = 48

or

-3a + 42 = 48

Subtract 42 from both sides we get;

-3a + 42 -42 =48 -42

Simplify:

-3a = 6

Divide both sides by -3 we get;

a = -2

Substitute this value in [1] to completes the equation:

-2x + 3y =48

therefore, the value of a = -2 accurately completes the equation -2x + 3y =48


try a=-2 (negative 2)

working attached

What is the first step when inscribing a square, equilateral triangle, or hexagon in a circle?Connect the endpoints of the diameters to form a square.

Draw an arc that intersects the circle at two points.

Draw a circle around a diameter.

Connect all six points on the circle.

Answers

The first step when inscribing a square, equilateral triangle, or hexagon in a circle is:

Draw a circle around a diameter.

The diameter is the line found in the center of the circle. So, the diameter is the line found between two equal semi-circle. 

Answer:

C. Draw a circle around a diameter.

Step-by-step explanation:

The first step when inscribing a square, equilateral triangle, or hexagon in a circle - Draw a circle around a diameter.

Depending on various constructions, Step 2 here will be - Draw an arc that intersects the circle at two points.

Next will be - Connect the endpoints of the diameters to form a square or Connect all six points on the circle.

THere are 7 people on the bus, and the bus picks up 4 additional people at each stop. How many stops will it take to have 31 people on the bus?

Answers

Answer:

6 stops.

Step-by-step explanation:

The answer is 6 stops, because 4 times 6 is 24 and 24 plus 7 is 31.

What is the area of the following trapezoid 210 280 420 140

Answers

Answer:

Step-by-step explanation:

A=  a+b/2 h (area = a +b over 2 times H) plug in your numbers

I dont have a picture, if i did i could solve it, but here is the formula