A small band performed at a local church they estimated 50 people would attend but 80 people showed up to watch them play what is the percent error of the number of people who attended the event.

The sum of the interior angles of a triangle is 180° is proved below.

We are given that;

To prove angle sum property of triangle

Now,

There are different ways to prove that the sum of the interior angles of a triangle is 180°. Here are three common proofs:

Proof : Using parallel lines and alternate interior angles

Since the line PQ is parallel to the side BC, and AB and AC are transversals, we can use the property that alternate interior angles are congruent.

Therefore, we have:

∠QAC = ∠ACB

∠PAB = ∠ABC

Adding these equations, we get:

∠QAC + ∠PAB = ∠ACB + ∠ABC

But ∠QAC + ∠PAB is a straight angle, which measures 180°. So, we have:

180° = ∠ACB + ∠ABC

Adding ∠CAB to both sides, we get:

180° + ∠CAB = ∠ACB + ∠ABC + ∠CAB

Simplifying, we get:

180° = ∠ACB + ∠ABC + ∠CAB

Hence, by the triangles the answer will be given above.

Learn more about the triangles;

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Answer:

Step-by-step explanation:

a: is not proportional

because you cant divide any of the tope numbers by the bottom numbers so u can leave the thing blanc.

b: is proportional

becuase you can divide the top and bottom by 30 so the answer is 30

hope this help :)

Answer: 30 for b

Step-by-step explanation:

Answer:

(1,1)

Step-by-step explanation:

Answer: I would say (1,1) or (0,1)

sorry if I got it wrong or couldn’t help

Answer:

last answer D

i took the test

The expression that most effectively represents u's value would be:

D). u = 2s

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Given that,

In ΔABC,   E is the midpoint in the segment AC and  D is the midpoint of BC.

Now,

CE = 0.5 × AC(midpoint)

CD = 0.5 × CB (midpoint)

Thus,

CE/AC = CD/CB = ED/AB = 1/2        

As ED = s and AB = u

So,  u = 2s    

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Answer:

5 cm/min

Step-by-step explanation:

A spherical balloon is being inflated with helium at a rate of 20π cm³/min.

The volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex] ...(1)

Differentiate equation (1) wrt t as follows :

[tex]\dfrac{dV}{dt}=3\times \dfrac{4}{3}\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi r^2\dfrac{dr}{dt}\ ....(1)[/tex]

Put dV/dt = 20π cm³/min and r = 1 cm, we can fin dr/dt

[tex]\dfrac{dV}{dt}=4\pi r^2\dfrac{dr}{dt}\\\\20\pi =4\pi (1)\times \dfrac{dr}{dt}\\\\\dfrac{dr}{dt}=5\ cm/min[/tex]

So, the radius of changing at the rate of 5 cm/min.

Using implicit differentiation, it is found that the radius is changing at a rate of 5 cm/min.

The volume of a sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

Applying implicit differentiation, the rate of change is of:

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

Then:

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

[tex]20\pi = 4\pi (1)^2\frac{dr}{dt}[/tex]

[tex]\frac{dr}{dt} = \frac{20}{4}[/tex]

[tex]\frac{dr}{dt} = 5[/tex]

The radius is changing at a rate of 5 cm/min.

A similar problem is given at https://brainly.com/question/14004755

Answer:

g(x)=4|x-5|

Step-by-step explanation:

Since the question wants you to shift 5 units to the right, all you need to do is add that - 5 inside the absolute value with the x, and it will shift the function 5 units to the right. I even attached a picture to prove that when adding - 5 inside the absolute value with the x, it shifts the function g(x) 5 units to the right.

Hope this helps! :)

Answer:

stratified sampling

Step-by-step explanation:

Note, in the stratified sampling sample method, the population is divided into smaller strata or smaller groups, and then a sample is selected randomly.

In this scenario, the population is a day (24 hours), so dividing the population (day) into three parts; morning, afternoon, and evening represents the various strata. Hence, since Charlotte, the researcher measures her stress level at 2 randomly selected times during each part of the day, she would be using the stratified sampling method.

Answer:

2.31 and 3.31

Step-by-step explanation:

since .81 is repeating, we can assume .31 does too

Answer:

B C E

Step-by-step explanation:

trust me... its too hard to explain

Answer:

[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

remember when dividing with fractions, you are multiplying by the reciprocal.

this means

[tex]\frac{4}{5} \div3=\frac{4}{5}*\frac{1}{3}=\frac{4}{15}[/tex]

Answer:

the answer is 0.26 it was originally 0.26666666666 which is repetition so I lowered it down to .26

Answer:

Step-by-step explanation:

do 3 x 16 = 48 + 3 is 51

Answer:

$7,7748.35

Step-by-step explanation:

$5,323$7748.35 + $2,395.35(INTEREST)

Answer:

B

Step-by-step explanation:

Because there's no change in x so it has to be a straight line going through the y-axis.

Also for A and C, they don't even touch y = 2 so you can easily cross those out.

Answer:

2 : 3

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

any of the below:

Step-by-step explanation:

12/30

6/15

2/5

Answer:

2/5, or 40%.

Step-by-step explanation:

Write it as a fraction first, then reduce it to simplest form.

12/30

Simplest form is 2/5, or 40%

Answer:

15

Step-by-step explanation:

i guarantee you 100 percent this is correct

please give me brainliest

Answer:

Is g(x)

Step-by-step explanation:

We search the roots of the function on this way

(x-1)^2 (x+2) =0

(x-1)^2 =0

x-1=[tex]\sqrt{0}[/tex]

x=1  ////

(x+2)=0

x=-2 ////

So (1,0) and (-2,0) are the roots of the function (as the image)

Answer:

4 + 4 + 4 = 12

Step-by-step explanation:

Perimeter (P) = a + b + c (a, b, c being all the sides, which are all equal to 4)

Answer:

To be honest I don't know I just need some points 1+1=2

Step-by-step explanation:

Answer:

#9= 100 degrees but I'm not sure about #10.

Step-by-step explanation:

We know that a triangle has a total of 180 degrees.

So we add 16, 34, and 30

16+34+30=80

Then we subtract the amount from the total degrees of a triangle.

180-80

= 100 degrees

I hope this helps:)

Answer:

−5 ⋅ 2 − 12

Step-by-step explanation:

Answer:

-2a-27b.2^3/3c-2161/3

Answer:

0.4

Step-by-step explanation:

40% is 0.4

Remember the tenths places

Hope this help:)

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Answer: pretty sure it's -1,1

M ( 3 , 1 )

Step-by-step explanation:

Answer:

J ( -1 , 1 )

M ( 3 , 1 )

Explanation:

When moving coordinates left = subtract from previous X position

When moving coordinates right = add from previous X position

When moving coordinates up = add from previous Y position

When moving coordinates down = subtract from previous Y position

Answer:

8

Step-by-step explanation:

Answer:

0.125

Step-by-step explanation:

Answer:

$160

Step-by-step explanation:

A = $1,160.00

I = A - P = $160.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year.

Solving our equation:

A = 1000(1 + (0.04 × 4)) = 1160

A = $1,160.00

The total amount accrued, principal plus interest, from simple interest on a principal of $1,000.00 at a rate of 4% per year for 4 years is $1,160.00.

Answer:

A and C

Step-by-step explanation:

Answer:

b and c

Step-by-step explanation:

im right

Answer:

A and C are Functions

Step-by-step explanation:

They pass the vertical line test.

The way you know if a set of coordinates are not a function is if they have multiple points that have the same Y value.

Answer:5n+6

Step-by-step explanation :an=a1+d(n-1)

=1+(-5)(n-1) or 1+-5n+5

an=-5n+6