Find the measurement of the numbered angles

Find The Measurement Of The Numbered Angles

Answers

Answer 1

Answer:

m<1 = 60

m<2 = 30

m<3 = 80

Step-by-step explanation:

1. Solve for angle (1)

The sum of angles in any triangle is (180) degrees. As one can see, there is a (30) degree angle in this triangle, and a (90) degree angle. Bear in mind that the box around an angle indicates that it is a (90) degree angle. One can form an equation and solve for the unknown angle using this given information;

(30) + (m<1) + (90) = 180

Simplify,

120 + m<1 = 180

Inverse operations,

m<1 = 60

2. Solve for angle (2)

The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. One can apply this theorem here by stating the following,

m<2 = 30

Thus one gets their answer, the measure of angle (2) must be (30) degrees by the vertical angles theorem.

3. Solve for angle (3)

As states above, the sum of angles in a triangle is (180) degrees. Since one has found the measure of angle (2), one can form an equation and solve for the measure of angle (3) using the given information, combined with the information found.

(m<2) + (70) + (m<3) = 180

Susbtitute,

30 + 70 + (m<3) = 180

Simplify,

100 + m<3 = 180

Invers eoperations,

m<3 = 80


Related Questions

sample of one hundred seventy-eight students were surveyed one week prior to the election for student body president
egarding their choice of three candidates. The table below shows the results of the survey.
A
B
С
Candidates
Votes
67
57
54
Use the information above. There are 1571 students in the school. According to the survey, about how many votes can
candidate A expect to recieve?

Answers

Answer:

592 Votes

Step-by-step explanation:

According to the Question,

Given That, a sample of 178 students was surveyed one week prior to the election for student body president  Regarding their choice of three candidates.The table below shows the results of the survey.

                                 A        B       С

Candidates Votes     67      57     54

And, There are 1571 students in the school.

So, The Total votes can  candidate 'A' expect to Receive is

⇒(1571/178)×67

⇒591.33 ≈ 592 Votes(Approximately)

How many different ID cards can be made if there are 8 digits on a card if digits can be repeated?​

Answers

Answer:

10*9*8*7*6*5*4*3 = 10!/2 = 1814400 Cheers

Step-by-step explanation:

hope it works.

NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.


Angelo's Pizza is having a ticket raffle to raise money for new soccer uniforms.A $1 ticket gives an even chance to win one $25 gift certificate,one $15 gift certificate,or three $5 gift certificates.What is the expected profit or loss for purchasing 1 ticket if 100 total tickets are sold?

A: a gain of $0.45

B: a gain of $0.55

C: a loss of $0.55

D: a loss of $0.45​

Answers

Answer:  A)  gain of $0.45

===============================================

Explanation:

Let x be the net winnings the customer gets

Saying something like x = 24 means you've walked away with $24. This occurs when you pay $1, and get $25 back in prizes, so 25-1 = 24 dollars overall.

The probability of this event occurring is 1/100 since there's only one ticket with the $25 prize

Make a table as shown below. It represents all the possible x values which are all the possible net winnings. Note how 1/100 = 0.01, 3/100 = 0.03 and 95/100 = 0.95

The third column is x*p(x) which is the product of the first two columns. Adding everything in the third column (that isn't highlighted in yellow) gets us the value -0.45 which is the expected value for the customer.

This represents a loss of $0.45, aka a loss of 45 cents. This is from the perspective of the customer.

Flipping things around, the pizza company will see this is as a gain of $0.45 or a gain of 45 cents.

----------------

Here's another way to see why this works:

The pizza company earns $100 in revenue since 100 tickets are sold for a dollar each. The company pays out 25+15+3*5 = 55 dollars in prizes overall. That means the company will make a profit of 100-55 = 45 dollars. So the average profit per ticket is 45/100 = $0.45 aka 45 cents and this is from the viewpoint of the pizza company (not the customer). The positive average profit represents a gain.

What is the area of the parallelogram below?



7 in2
14 in2
18 in2
28 in2

Answers

Answer:

14 (B)

Step-by-step explanation:

Area = L * h

L = 7 in^2

h = 2

Area = 7 * 2

Area = 14 in^2

Answer:

14

Step-by-step explanation:

Did lesson

A six sided number cube is rolled. What is the probability of getting a 2 and then a 1, given that the first number rolled was a 2?

Answers

Answer:

1/36

Step-by-step explanation:

P(2 then 1) = 1/6 x 1/6 = 1/36

In one season, a basketball player missed 15% of her free throws. How many free throws did she attempt if she made 102 free throws? Write the exact answer. Do not
round

Answers

Answer:

120 free throws

Step-by-step explanation:

If she misses 15% of her free throws, that means she makes 85% of them.

Find how many she attempted by dividing 102 by 0.85:

102/0.85

= 120

So, she attempted 120 free throws

The number of free throws that were attempted is 120 free throws.

Since the basketball player missed 15% of her free throws, This means that the percentage scored will be:

= 100% - 15% = 85%

Therefore, 85% of x = 102

0.85x = 102

x = 102/0.85.

x = 120

Read related link on:

https://brainly.com/question/23392992

PLEASE HELP!

WILL MARK BRAINLIEST!!!


If AC=12cm, what is the area sector ACB to the nearest whole number?

Thank you! Multiple choice!

Answers

Answer:

38

Step-by-step explanation:

Have a nice day :)

Which expression is equivalent to square root 343x^9y^12z^6?

Answers

Answer:

Step-by-step explanation:

343: = 7 * 7 * 7

x^9: = x^3 * x^3 * x * x * x = x^3 * x * √x

y^12: = y^6 * y^6

z^6: = z^3 * z^3

So the square root  is

√343 = 7 √7

√x^9 = x^4√x

√y^12 = y^6

√z^6 = x^3

The rule is for every pair of equal factors, you take one outside the root sign and throw the other one away.

So z^6 for example is z^3 * z^3 Take one of the pair outside the root sign and throw the other one away.

x^9 is rather tricky. You take x^4 out and there is still one x left over. You leave it under the root sign.

So the answer is

7  * x^4 * y^6 * z^3 * √7x

I need some help on this math question. Please explain how you found the answer too!

Answers

Answer:

A

Step-by-step explanation:

The table represents a proportional function which has a rate of proportionality equal to 5

In fact

5:1 = 5

15 : 3 = 5

25 : 5 = 5

35 : 7 = 5

If we make 90 : 18, the result is 5, so this dates can be part of the table

Which inequality represents the compound in
equality x > 3 and x < 5

Answers

Answer:love

Step-by-step explanation:

Inequalities and Absolute Value Equations.

x > 3 and x < 5

Inequality Form:3<x<5

Interval Notation:

(3,5)

An inequality is a mathematical statement that compares algebraic expressions using greater than (>), less than (<), and other inequality symbols

What are the 5 inequalities?

The 5 inequality symbols are less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and the not equal symbol (≠).

Which of the following is an example of compound inequality?

Think about the example of the compound inequality: x < 5 and x ≥ −1. The graph of each individual inequality is shown in color. Since the word and joins the two inequalities, the solution is the overlap of the two solutions. This is where both of these statements are true at the same time.

To learn more about inequality, refer

https://brainly.com/question/17448505

#SPJ2

How many plants are shorter than 27 inches?

Answers

15 one (I think that)..

the number 3.14063 written correct to 3 decimal places is

Answers

Answer:

3.141

Step-by-step explanation:

3 decimals is .xxx, and you round the last digit up, so it becomes 3.141

Answer:

3.141

Step-by-step explanation:

since the forth number behind the decimal place is bigger than 5 we round up the third number.

I hope this helps in anyway.

Parrot eats only ........ products​

Answers

Answer:

Maybe Plants products...

Solve the inequality for s:
5s + 2 > 7
Answer:

Answers

Answer:

S>1

Step-by-step explanation:

5s + 2 > 7

Subtract 2 from both sides

5s>5

Divide 5 from both sides

S>1

Solution of the inequality is s>1.

What is an inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to one another.

Adding the same amount to each side, taking the same amount away from each side, multiplying or dividing each side by the same positive integer, and other operations can be used to solve the inequality.

The inequality sign must be reversed if either side is multiplied or divided by a negative number.

5s+2 > 7

Subtracting 2 on both side,

5s > 5

s>1

Therefore, the solution set of inequality is s>1.

To learn more about the inequality in mathematics;

brainly.com/question/28823603

#SPJ2

A high school has 32 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 233 pounds

Answers

Answer:

[tex]\% = 11.96\%[/tex]

Step-by-step explanation:

Given

See attachment for box plot

Required

Percentage greater than or equal to 233

From the box plot, the maximum is:

[tex]Max = 244[/tex]

The minimum is:

[tex]Min = 152[/tex]

Percentage greater than 233 is calculated as:

[tex]\% = \frac{Max - 233}{Max - Min}[/tex]

[tex]\% = \frac{244 - 233}{244-152}[/tex]

[tex]\% = \frac{11}{92}[/tex]

Express as percentage

[tex]\% = \frac{11}{92}*100\%[/tex]

[tex]\% = \frac{1100}{92}\%[/tex]

[tex]\% = 11.96\%[/tex]

How many Egyptian numerals (total) are needed to represent the following problem?

Answers

128 hope this helps love

Perform the operation and, if possible, simplify
21/20 - 4/15

Answers

Answer:

47/60

Step-by-step explanation:

Find the LCM and multiply to get there.

LCM is 60

63/60-16/60

47/60

Suppose that for a typical FedEx package delivery, the cost of the shipment is a function of the weight of the package measured in ounces. You want to try to predict the cost of a typical shipment given package dimensions. If 10 packages in a city are sampled and the regression output is given below, what can we conclude about the slope of weight

Answers

Answer:

The answer is "Option 5"

Step-by-step explanation:

Please find the complete question in the attached file.

Throughout the above output the regression equation is:

Delivery cost [tex]=0.469\times weight +9.617[/tex]

Solve the following equations for x,
if 0 ≤ x ≤ 2π.

i. 3csc² x – 4 = 0
ii. 4cos² x + 2cos x – 2 = 0


help me solve pls

Answers

(i) 3 csc²(x) - 4 = 0

3 csc²(x) = 4

csc²(x) = 4/3

sin²(x) = 3/4

sin(x) = ± √3/2

x = arcsin(√3/2) + 2  or   x = arcsin(-√3/2) + 2

x = π/3 + 2   or   x = -π/3 + 2

where n is any integer. The general result follows from the fact that sin(x) is 2π-periodic.

In the interval 0 ≤ x ≤ 2π, the first family of solutions gives x = π/3 and x = 4π/3 for n = 0 and n = 1, respectively; the second family gives x = 2π/3 and x = 5π/3 for n = 1 and n = 2.

(ii) 4 cos²(x) + 2 cos(x) - 2 = 0

2 cos²(x) + cos(x) - 1 = 0

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

2 cos(x) - 1 = 0   or   cos(x) + 1 = 0

2 cos(x) = 1   or   cos(x) = -1

cos(x) = 1/2   or   cos(x) = -1

[x = arccos(1/2) + 2   or   x = 2π - arccos(1/2) + 2]   or   x = arccos(-1) + 2

[x = π/3 + 2   or   x = 5π/3 + 2]   or   x = π + 2

For 0 ≤ x ≤ 2π, the solutions are x = π/3, x = 5π/3, and x = π.

A local salesman has forty-five stacks of magazines. If the salesman plans to sell three-fifths of the stacks, how many stacks will he have left?

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Which graph represents the function f(x)=|x|-4?

Answers

See the graph in the attached image.

Trong không gian Oxyz, cho a b c      2;2;0 , 2;2;0 , 2;2;2 .     
  
Giá trị của a b c  
  
bằng

Answers

Answer:

good question

Step-by-step explanation:

What is the smallest counting number that is divisible by 2, 4, 5, 6, and 12? express each number and your final answer as a product of primes. What do you notice?

Answers

Answer:

60

[tex]2^{2} * 3 * 5[/tex]

Step-by-step explanation:

The answer is the number 60

Help me i think it’s c

Answers

Answer: Graph B

=====================================================

Explanation:

Point A appears to be at (2.5, -1)

If we shift 6 units to the left, then we subtract 6 from the x coordinate. So the new x coordinate is now 2.5-6 = -3.5

If we shift 4 units up, then we add 4 to the y coordinate to go from -1 to -1+4 = 3

Overall, the point A(2.5, -1) moves to A'(-3.5, 3)

Graph B is the answer because of this. The other points B and C will follow the same pattern as point A does.

I’m pretty sure the answer is B, due to the fact that if u move letter C 6 units left it should be by the -5 on the x-axis and -3 from the y axis

Write a linear factorization of the function.
f(x) = x4 + 16x2

f(x) = x2 (4x + i)(4x - i)
f(x) = x2 (x + 4i)2
f(x) = x2 (x + 4i)(x - 4i)
f(x) = x2 (4x + i)2

Answers

Answer:

f(x) = x^2 ( x -4i) (x+4i)

Step-by-step explanation:

f(x) = x^4 + 16x^2

Factor out x^2

f(x) = x^2 ( x^2 +16)

f(x) = x^2 ( x^2 - -16)

The square root of -16 is 4i and -4i

Using the difference of square (a^2 - b^2) = (a-b)(a+b)

f(x) = x^2 ( x -4i) (x+4i)

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.
How many foreign stamps does Malik have?

Answers

The answer that represents the total number of stamps that Malik has collected is: x + y = 212. The equation that represents the difference in the number of foreign and domestic stamps Malik collected is: x - y = 34. The System of Linear Equations that represent the situation is: x - y = 34 and x + y = 212.

Answer:

answer in picture
c, b, d

Step-by-step explanation:

If 8 x - 4 = 6 - 3 x then x =

Answers

Answer:

4th option is correct

Step-by-step explanation:

[tex]8 x - 4 = 6 - 3 x[/tex]

[tex]8x−4+3x=6[/tex]

[tex]11x−4=6[/tex]

[tex]11x=6+4[/tex]

[tex]11x=10[/tex]

[tex]x = \frac{10}{11} [/tex]Hope it is helpful...

Answer:

option 4 ,

x=10/11

is the answer of your question

explanation is attached below .

hope it is helpful to you



A spinner with 8 equal-size sections labeled as shown is spun 200 times. What is the sample
space for this experiment?

Answers

Answer:

hiiooioudzzxuxojxoufxodyzufxufxyfxuoxudr tztdxhxfuoxir d and

select an expression that is equivalent to 4√x2/3
A x14x14
B x94x94
C x16x16
D x83x83

Answers

Answer:

here is your answer

Step-by-step explanation:

here is your answer

High School Dropouts
Number of Dropouts
1990
2000
Male
Female
MAMD.M.D.3: Which of the
following is true about the graph?

Answers

Answer:

There are more females dropping than males each year and that there are more females than males

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