Work out area of ABCD

Answer:

∠AOB = 112°

Step-by-step explanation:

mentally draw line segment OC

that line bisects 124° so ∠OCB = 1/2(124°) = 62°

ΔOCB is isosceles because OB = OC

∠OBC = 62° because it is equal to ∠OCB

all triangle interior angles add up to 180°

∠BOC = 180° - 62° - 62° = 56°

∠AOC = 56° because OC was a bisector of ∠AOB

∠AOB = 56° + 56° = 112°

Answer:

1, 2 and 3

Step-by-step explanation:

First you must know that the coordinate of a point is expressed as (x, y) wgere

x serves as the input value (domain)

y serves as the output values

Given the coordinates (1, 4), (2, 5), (3, 6), the input values will be the values at the x coordinates of the points that is 1, 2 and 3.

A. The rate of the first segment is increasing, second segment is constant, and third segment is decreasing.

B. Marissa's distance from the starting point at the end of her trip is 40 miles.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The graph below shows Marissa's distance from the starting point of her trip for different segments of time.

A. The rate of the first segment at the interval (0,3) is increasing, the rate of the second segment at the interval (3,7) is constant, and the rate of the third segment at the interval (7,10) is decreasing.

B. Marissa's distance from the starting point at the end of her trip is 40 miles.

Learn more about the graphs here:

brainly.com/question/16608196

#SPJ6

The question seems incomplete, the missing part has been below:

A. Describe each of the three segments of the graph in terms of the rate of change in Marissa's distance from the starting point throughout her tip.

B. What is Marissa's distance from the starting point at the end of her trip?

Answer:

angle C = 69 degrees

Step-by-step explanation:

(6x - 9) + (6x - 24) + (81 - x) = 180

11x + 48 = 180

11x = 132

x = 12

(81 - 12) = 69 degrees

Answer:

69°

Step-by-step explanation:

All angles in a triangle must add to 180°:

(5x+9)+(4x+15)+(x+36)=180

10x+60=180

10x=120

x=12°

The problem asks for the measure of angle C:

C=(81-x)°=69°

You were on the right track because you got the value of x correct. You just didn't answer the problem correctly.

Answer:

55

Step-by-step explanation:

62+63=125

180-125=55

Answer:

I AM SO SORRY but I need that point soo plsss Im sooo sorry

Answer:

The answer is (x+2)²+(y-3)²=29.

Hope it helps uh

Complete question :

Imagine you are starting an office supply business. Your overall costs for supplies are $100. You plan on selling binders for $4 each and pencils for $2 each. Let x represent the number of binders sold and y represent the number of pencils sold. Give an expression for the profit made.

Answer:

(2y + 4x) - $100

Step-by-step explanation:

Given that:

Cost of supply = $100

Supplies :

binders, sales price = $4

Pencils, sales price = $2

Number of binders sold = x

Number of pencils sold = y

The revenue from sale :

(Cost of pencils * number of pencils) + (cost of binders * number of binders)

Revenue = 2y + 4x

Profit, p = Revenue - Cost of supply

p = (2y + 4x) - $100

Answer:

2

Step-by-step explanation:

Answer: Its also okay for drinking after boiled

Step-by-step explanation:

According to the Department of Food Science in Cornell University, pasteurised or boiled milk has a longer shelf life than raw milk, contrary to the myth that boiling milk will not reduce its lactose content.

Answer:

Milk that has been boiled and then covered keeps longer than fresh milk because the milk is absorbing the heat and when it is covered it will not be spoiled.

Step-by-step explanation:

Answer:

It will take 5 hours and 5 minutes to fill the tank

Step-by-step explanation:

Here, we want to get how long it takes to fill the tank

Let us have the capacity of the tank as 120 l

For the first tank, the number of liters filled per hour is 120/6 = 20 l

For the second, the number of liters filled per hour is 120/8 = 15 l

For the draining tap, the amount drained in an hour is 120/10 = 12 l

So total input is (15 + 20) = 35 l

Output is 12 l

Hourly retention is 35-12 = 23 l

To complete total 120 l, time taken will be;

120/23 = 5 5/23

So what this mean is that it will take 5 hours and 5 minutes

Answer:

b 17/18

Step-by-step explanation:

Solve the one's in bracket then later solve everything together

Answer:

Price after off =80-  1/4 * 80 = 80-20 = $60

Coupon discount = 60*10/100 = $6

So, he have to pay, 60-6 = $54

Answer:

B. The lower extreme increased.

Step-by-step explanation:

From the original box and whisker plot, the lower extreme (minimum) is 5 ; The upper extreme, maximum is 15.

The number of batches baked on the eight day is 20. This exceeds tbe previous maximum value. Hence, upper extreme( maximum) value of the new plot will change from 15 to 20.

The lower extreme isn't affected as the obtained value isn't below 5.

The median value will Increase and the upper quartile value will also increase. Once the upper quartile value increases, the interquartile range will also increase

Answer:

The answer for this equation is 2x⁶.

Step-by-step explanation:

In order to solve the equation, you have to Take out the Constants.

[tex] \frac{20}{10} {x}^{4} {x}^{2} [/tex]

Now you have to Simplify 20/10 to 2 because 10 divided by 20 is 2.

[tex] {2x}^{4} {x}^{2} [/tex]

And now you have to Use the product rule:

[tex] {x}^{a} {x}^{b} = {x}^{a + b} [/tex]

[tex]2x ^{4 + 2} [/tex]

and lastly, you have to simplify 4 + 2 to 6.

[tex] {2x}^{6} [/tex]

Therefor, the answer for this equation is 2x⁶.

Answer:

i have questine

Step-by-step explanation:

Answer:

w = 32

Step-by-step explanation:

Remark

The value of the exterior angle (marked w + 33) = the sum of the two angles not connected to it. w and w + 1

Equation

w + w + 1 = w + 33

Solution

2w + 1 = w + 33      Subtract w from both sides.

2w - w + 1 = 33       Combine

w + 1 = 33               Subtract 1 from both sides.

w = 33 - 1

w= 32        

Answer:

Scalene triangle because it's all sides are unequal

Answer:

Scalene triangle

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

hope this is correct

Answer:

The answer is 203 cubed in

Step-by-step explanation:

7 x 11 = 77

77 x 2 = 154

7 x 7 = 49

154 + 49 = 203

Answer:

x=6

Step-by-step explanation:

Answer:

C. y = 1/2x - 1

Step-by-step explanation:

The slope is 1/2 (line moves up 1 and right 2).

The y-intercept is -1 since that is where the line crosses the y-axis.

x and the 120 degrees are Complementary angles so they are the same. x=120˚

Answer:

A) s=32t

B) 224 ft/s

Step-by-step explanation:

A)

In the form (time, speed), the question gives us the following data: (1,32) and (5,160). Since we are told that the relationship between​ time, t, and​ speed, s, is linear, we know the equation will fit the formula y=mx+c, where m is slope c is the y-intercept and y and x are the co-ordinate values. Plug in (1,32) and (5,160) to find the formula:

y=mx+c

s=mt+c

32=1m+c

c=32-m

160=5m+C

160=5m+32-m

128=4m

m=32

c=32-m

=32-32=0

So our equation is s=32t

B)

s=32t

s=32(7)=224 ft/s

Answer:

y = 3x - 5  

Step-by-step explanation:

1) First, place the given equation in slope-intercept form, represented by the formula [tex]y = mx +b[/tex], to find the slope. Whatever [tex]m[/tex] or the coefficient of x-term is will be the slope. Isolate y in the equation:

[tex]x + 3y = -6\\3y = -x -6\\y = -\frac{1}{3}x-2[/tex]

So, the slope of that line is [tex]-\frac{1}{3}[/tex]. Lines that are perpendicular have slopes that are opposite reciprocals, thus the slope of the new line will be 3.

2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the equation of the new line. Substitute real values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] in the equation.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{1}{3}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represents the x and y values of one point the line passes through, substitute the x and y values of (-1,-8) into the formula as well. Then, isolate the y in the resulting equation to put the equation in slope-intercept form and find an answer:

[tex]y-(-8) = 3 (x-(-1))\\y + 8 = 3(x+1)\\y + 8=3x + 3\\y = 3x -5[/tex]

Answer:

A

Step-by-step explanation: