For the figure shown on the​ right, find m<1 (I used someone else’s picture)

Answers:

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Explanation:

For these questions, we'll use the inscribed angle theorem. This says that the inscribed angle is half the measure of the arc it cuts off. An inscribed angle is one where the vertex of the angle lies on the circle, as problem 1 indicates.

For problem 1, the arc measure is 80 degrees, so half that is 40. This is the measure of the unknown inscribed angle.

Problem 2 will have us work in reverse to double the inscribed angle 42 to get 84.

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For problem 3, we need to determine angle DEP. But first, we'll need Thales Theorem which is a special case of the inscribed angle theorem. This theorem states that if you have a semicircle, then any inscribed angle will always be 90 degrees. This is a handy way to form 90 degree angles if all you have is a compass and straightedge.

This all means that angle DEF is a right angle and 90 degrees.

So,

(angle DEP) + (angle PEF) = angle DEF

(angle DEP) + (35) = 90

angle DEP = 90 - 35

angle DEP = 55

The inscribed angle DEP cuts off the arc we want to find. Using the inscribed angle theorem, we double 55 to get 110 which is the measure of minor arc FD.

Answer: 12

Step-by-step explanation:

3 more than 5 times a number = 3+5x

seven more than three times that number = 7+3x

is = "="

Thus,

3 + 5x = 7 + 3x

2x = 4

x = 2

2 + 10 = 12

Hope it helps <3 :)

Answer:

66 67/100

Step-by-step explanation:

Answer:

Mix Number form: 66 2/3

Simplest Form: 6.66

Hope this helps.

Answer:

x = (3,3)

Step-by-step explanation:

This is going to be x = (3,3) because this is showing where the x, y stand. The x goes, ∧ and the y goes to the ⇒ SO this is going to be x = (3,3) because the x comes first before the 2!

Answer:

-10,938

Step-by-step explanation:

Since it is below sea level then it’s negative.

Hope this help!

Answer:

9 inches

Step-by-step explanation:

A^2 + B^2 = C^2 !!!! This is very important to remember!!!

15^2 - 12^2 = 81^2

Get rid of ^2 by taking square root

Square root of 81 is 9!

Answer:

$405.00

Step-by-step explanation:

$4500.00×9%=$405.00

Answer:

3/4

Step-by-step explanation:

4/6 + 2/8 =

x 8     x6

24/48 + 12/48 = 36/48 = 3/4

Answer:

down below

Step-by-step explanation:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

Answer:

27%

Step-by-step explanation:

Answer:

12.7342

Step-by-step explanation:

V=360

d=6

r=1/2*d=3

r^2=9

360/pi=114.592

114.592/9=12.7342

Answer:

$11,000

Step-by-step explanation:

Given that :

Time, t = 140 days = 140/365 = 0.3835years

Interest paid = 253.15

Interest % = 6%

Principal, p =?

Using the relation :

Interest = principal * rate * time

253.15 = p * 0.06 * (140/365)

253.15 = 0.0230136p

P = 253.15 / 0.0230136

P = 11000.017

Hence, the principal amount = $11,000

Answer:

shorter

Step-by-step explanation:

Answer:

e tenta de novo fazer a questãotenta rever o conteudo onde vc estudou isso

Step-by-step explanation:

Answer:

About 0.6548 grams will be remaining.  

Step-by-step explanation:

We can write an exponential function to model the situation. The standard exponential function is:

[tex]f(t)=a(r)^t[/tex]

The original sample contained 510 grams. So, a = 510.

Each half-life, the amount decreases by half. So, r = 1/2.

For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.

Therefore, our function is:

[tex]\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}[/tex]

One year has 365 days.

Therefore, the amount remaining after one year will be:

[tex]\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548[/tex]

About 0.6548 grams will be remaining.  

Alternatively, we can use the standard exponential growth/decay function modeled by:

[tex]f(t)=Ce^{kt}[/tex]

The starting sample is 510. So, C = 510.

After one half-life (38 days), the remaining amount will be 255. Therefore:

[tex]255=510e^{38k}[/tex]

Solving for k:

[tex]\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)[/tex]

Thus, our function is:

[tex]f(t)=510e^{t\ln(.5)/38}[/tex]

Then after one year or 365 days, the amount remaining will be about:

[tex]f(365)=510e^{365\ln(.5)/38}\approx 0.6548[/tex]

Answer:

11

Step-by-step explanation:

Answer:

7.5 x 2

4 + 4

Step-by-step explanation:

7.5 x 2 = 15

4 + 4 = 8

hope i helped you!

Answer: 10 pans

Step-by-step explanation:

Step 1:

If the number of biscuits needed= 80

Step 2:

And the number of biscuits on each pan= 8

Step 3:

Then the number of pans needed= 80 ÷ 8

Answer: 80 ÷ 8 = 10pans

Answer:

x=4/3 and y=172/3

Step-by-step explanation:

hope this helps!

Answer:(0,-4), (1,0), (2,6)

Answer:  c=  $( 5 x 5.20)

Step-by-step explanation:

Given: Total people =5

Money paid by each person = $5.20

Total cost of the sundae = (Number of people )  x (Money paid by each person)

Total cost of sunday : c= 5 x ($5.20)

i.e.Total cost of sunday = $(5 x 5.20)

i.e.Total cost of sunday = $ 26

Hence, the required equation to represent the total cost (c) of the sundae:

 c=  $( 5 x 5.20)

Answer:

3

Step-by-step explanation:

First step: Find the slope, Using the Formula y2 - y1 / x2 - x1 =  

6-4=2  3-1=2 then u divde the y/x   2/2=1 So the slope is 1.

Step 2: Use the Slope- Intercept formula, Y=mx+b so 4 = 1(1)+b so 4 = 1 + b

Step 3: subtract 1 on both sides so 4-1=3 1-1=0  so 3 is the Y-Intercept.

Answer:

150 pizzas

Step-by-step explanation

36 pizzas are equivalent to 24% so i divided both sides by 4 which gave me 9 pizzas  for 6% . But 6 cannot fully fit into 100 so it will have to be a decimal i did 100 divided by 6 so i would know what i would have to divide both sides by which gave me  50/3 which was 16.66666667 which when i times by 9 by it gave me 150 pizzas

Hope this helps

Answer:

owes $12.50

Step-by-step explanation:

2.5*5

=12.5

Answer:

-12.5

Step-by-step explanation:

If you do 2.50*5 (because Ms. Ortiz borrows $2.50 every day for 5 days) it equals 12.5, and since it's how much she owes, you have to make it negative, so it's -12.50 or she owes $12.50 (the first one if you are supposed to have the answer be negative, the second one if you have to have it in money form).