Cheryl ran three laps during her physical education class. If her times were 1.23 minutes, 1.04 minutes, and 1.18 minutes,
what was her average lap time
1.19
1.15
1.21
1.17

Answer:

Given that m∠ABC = m∠CBD, and m∠ABD = m∠ABC + m∠CBD BC bisects m∠ABD (Definition of angle bisector)

Step-by-step explanation:

The given information are;

m∠ABC = m∠CBD

To prove that Ray BC bisects m∠ABD

The description is therefore;

Three lines (AB, BC, and BD) that meet at a point

The content of Box A = m∠ABC = m∠CBD

The content of Box B = m∠ABC ≅ m∠CBD

The content of Box C = Ray BC bisects  m∠ABD

Therefore, we have;

m∠ABD = m∠ABC + m∠CBD (Angle addition postulate)

m∠ABC = m∠CBD (Given)

∴ m∠ABC ≅ m∠CBD (Definition of congruent angles)

m∠ABC is adjacent to m∠CBD (Description of the angles)

Line BC is common to m∠ABC and m∠CBD (Description of the angles)

Therefore, given that m∠ABC = m∠CBD, and m∠ABD = m∠ABC + m∠CBD BC bisects m∠ABD (Definition of angle bisector).

Answer:

c

Step-by-step explanation:

edg

Step-by-step explanation:

1: we plug in 3 instead of x. so we get

3(9)+5(3) = 42

2: we use pemdas or bedmas

27+12+1 = 40

if you have any other question feel free to ask.

Answer:

210/3+3/3

Step-by-step explanation:

210/3=70+3=73/3=71
213/3=71

Answer:

y=$35

Step-by-step explanation:

y= total number in your account

x= # of weeks

y=5x + 20

y=10x + 5

x=3 weeks

Answer:

x=16

Step-by-step explanation:

(2x-4)+(x+5)+(3x+3)=100

6x+4=100

6x=96

x=16

Check the picture below.

so the area that is not shaded has a total of 90° + 26° = 116°.

a circle has a total of 360°, so the area that is shaded must be 360° - 116° =  244°, and it has a radius of 25.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=25\\ \theta =244 \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (244)(25)^2}{360}\implies A=\cfrac{7625\pi }{18} \\\\\\ A\approx 1330.81 \end{array}[/tex]

Answer:

1330.81

Step-by-step explanation:

I'm not sure if it wanted the individual sectors or the whole shaded region in general, so I just did the latter since it seemed easier. Hope it helps!

Answer:

C, B, A

Step-by-step explanation:

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up bby i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer:

(2, 6 )

Step-by-step explanation:

- 8x + 2y = - 4 → (1)

- 7x + y = - 8 ( add 7x to both sides )

y = 7x - 8 → (2)

substitute y = 7x - 8 into (1)

- 8x + 2(7x - 8) = - 4 ← distribute parenthesis and simplify left side

- 8x + 14x - 16 = - 4

6x - 16 = - 4 ( add 16 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

substitute x ;= 2 into (2)

y = 7(2) - 8 = 14 - 8 = 6

solution is (2, 6 )

Answer:

Yes

Step-by-step explanation:

You do have enough money because 2.15+0.75+2.00 is = to 4.90 and we know that 4.90 is less than 5.00

Answer:

2 minutes 16 seconds

Step-by-step explanation:

200/25=8

8x22=176

Answer:

the answer for this question is -4

Answer:

- 28n^2  - 10

Step-by-step explanation:

Step-by-step explanation:

[tex]16 {}^{x} = \frac{1}{64} [/tex]

[tex]4 {}^{2x} = 4 {}^{ - 3} [/tex]

[tex]2x = - 3[/tex]

[tex]x = - \frac{3}{2} [/tex]

Answer:

x = -3/2

Step-by-step explanation:

We make both numbers have the same bases.

We know 2^4 = 16 and 2^-6 = 1/64 because a negative exponent means you get the reciprocal of the number.

2^4x = 2^-6

Let exponents equal each other.

4x = -6

x = 6/4 = -3/2

x = -3/2

Answer:c

Step-by-step explanation:

Take 2 points

Slope:-

[tex]\\ \rm\Rrightarrow m=\dfrac{4000-5000}{2}=-500[/tex]

Equation in point slope form

[tex]\\ \rm\Rrightarrow y-5000=-500(x)[/tex]

[tex]\\ \rm\Rrightarrow y=-500x+5000[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{\pi }{3}[/tex] and [tex]\frac{2\pi }{3}[/tex]

Answer: C) X=2

Step-by-step explanation: These angles are equal because they alternate exterior angles. Set them equal to each other,  and just solve for x.

Answer:

a = 2A / h - b

Hope that was the answer you were looking for :D

Answer:

0.6 inches per hours

5.2 inches on the ground by 1:00 pm

Step-by-step explanation:

Let x = number of hours after midnight

Let y = height of snow (in inches)

Information presented as ordered pairs (x, y):

(6, 1)

(11, 4)

[tex]\mathsf{rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}=\dfrac{4-1}{11-6}=\dfrac35 \ inches \ per \ hour}[/tex]

Written as a linear equation:

[tex]y-1=\dfrac35(x-6)[/tex]

[tex]\implies y=\dfrac35x-\dfrac{13}{5}[/tex]

1:00 pm = 13 hours after midnight

Therefore, when x = 13:

[tex]\implies y=\dfrac35(13)-\dfrac{13}{5}[/tex]

[tex]\implies y=5.2 \textsf{ inches}[/tex]

Answer: Use the distance formula to find the length of each side, and then add the lengths.

Step-by-step explanation:

To find the perimeter of this quadrilateral with known vertices: Use the distance formula to find the length of each side, and then add the lengths.

The distance between two points is the length of the line joining the two points. Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

Here, we have,

Mathematically, the distance between points on a coordinate plane is given by this formula:

Formula: distance= √(x_2-x_1)²+(y_2-y_1)²

Where:

x and y are the vertices (points) on a coordinate plane.

Therefore, when the distance formula has been used to determine the length of of each side of the quadrilateral. You should then add the lengths of each side together.

Read more on distance formula here:

brainly.com/question/1418394

#SPJ5

Answer:

Volume= 4 cm³

Density= 2 g/cm³

Step-by-step explanation:

We have the following data:

volume= V= 8 cm³

mass= m= 16 g

The density is the mass per volume of a substance, so the density of the rock is:

density= d= 16 g/8 cm³= 2 g/cm³

When we cut the rock in half, we have a half volume and a half mass:

V= 8 cm³/2= 4 cm³

m= 16 g/2= 8 g

But the density is not altered because it is an intrisic property - it does not change with the amount of subtance. Thus, the density of a half rock is:

d = m/V= 8 g/4 cm³= 2 g/cm³

Answer:

The median would be the second 5

Therefore our answer would be 5

Step-by-step explanation:

The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth number in the sample. The median is a commonly used measure of the properties of a data set in statistics and probability theory

The percentage of the household survey that owned televisions is 72%. And the sample is defined below.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Random sampling is the method of selecting the subset from the set to make a statical inference.

All states households 1565 households surveyed 1127 households that owned televisions. Then the percentage will be

[tex]\rm Percentage = \dfrac{1127}{1565}*100\\\\Percentage = 0.72*100\\\\Percentage = 72 \%[/tex]

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer:

1565 households surveyed

Step-by-step explanation:

I did this on edge :)

Answer:

The truck will roll 40.5 feet from top of the hill after 9 seconds.

Step-by-step explanation:

Let be [tex]f(t)[/tex] the distance rolled by the truck in time, measured in feet, whose expression is:

[tex]f(t) = 0.5\cdot t^{2}[/tex]

Where [tex]t[/tex] is the time, measured in seconds.

By evaluating this function at [tex]t = 9\,s[/tex], we find the distance rolled by the truck:

[tex]f(9\,s) = 0.5\cdot (9\,s)^{2}[/tex]

[tex]f(9\,s) = 40.5\,ft[/tex]

The truck will roll 40.5 feet from top of the hill after 9 seconds.

Answer:

x

=

161

Step-by-step explanation:

Multiply both sides of the equation by

7

.

7

⋅

(

x

−

119

)

÷

7

=

7

⋅

6

Simplify both sides of the equation.

Tap for more steps...

x

−

119

=

42

Move all terms not containing

x

to the right side of the equation.

Answer:

161

Step-by-step explanation:

Step 1:

( x - 119 ) ÷ 7 = 6        Equation

Step 2:

( x - 119 ) = 42      Multiply 7 on both sides

Step 3:

x = 42 + 119      Add 119 on both sides

Answer:

x = 161        Add

Hope This Helps :)

Step-by-step explanation:

the degree of a polynomial determines 1:1 the number of solutions.

a quadratic equation (degree 2) has 2 solutions.

the general solution is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -4

b = -4

c = -1

so,

x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)

when we look at the square root

16 - 16

we see that it is 0.

the square root of 0 is 0, and there is no difference between -0 and +0.

so, we get only one (real) solution : 4/-8 = -1/2

but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.

so, I am not sure what your teacher wants to see in this case as answer.

my answer would be 2 real identical solutions.