What is the measure of DEF

What Is The Measure Of DEF

Answers

Answer 1

Answer:

105°

Solution,

[tex]let \: < def \: be \: x \\ x + 28 + 47 = 180 \\ or \: x + 75 = 180 \\ or \: x = 180 - 75 \\ x = 105 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer 2

The total angle of a triangle is 180°. Using this we can find the angle DEF(x).

180=28+47+x

180=75+x

180-75=x

105=x

SO angle DEF=105°

Hope it helps!!


Related Questions

Can someone please help me with this question please:(

Answers

Answer:

Since the figures are congruent, their areas must also be congruent so the answer is 28.

What is the product (40 + (-10))((36 + (-9))(32 + (-8))...(-32 + 8)(-36 + 9)(-40 + 10) where the first number in each factor is decreasing by 4 and second number in each factor is increasing by 1?

Answers

Answer:

0

Step-by-step explanation:

The first number is 40 and decreases by 4 in each factor, and the second number is -10 and increases by 1 in each factor.

The first number is positive and decreases by 10% its value in each factor, and the second number is negative and increases by 10% its absolute value in each factor. That means we will have a factor where both numbers are 0 (in the 11th value, we will have the first number 40 - 4*10 = 0 and the second number -10 + 1*10 = 0), so the factor will be 0 + 0 = 0, and then whole product will be zero.

Find the areas of the sectors formed by ∠DFE. Round your answers to the nearest hundredth.

Answers

Answer:

Area of the sector in red = 177.87 cm²

Area of the sector in blue = 437. cm²

Step-by-step explanation:

Area of the sector = [tex]\frac{\theta}{360}(\pi )(r)^2[/tex]

Area of the sector shaded in blue = [tex]\frac{256}{360}(\pi )(14)^2[/tex]

                                                        = 437.87 cm²

Central angle formed by sector shaded in red = 360 - 256 = 104°

Area of the sector shaded in red = [tex]\frac{104}{360}(\pi )(14)^2[/tex]

                                                      = 177.884

                                                      ≈ 177.88 cm²

Therefore, area of the sector shaded in red = 177.87 cm² and area of the sector in blue = 437.88 cm²

A number cube labeled 1 through 6 is rolled. Find the probability that the cube lands on a number less than 5

Answers

Answer:

2/3

Step-by-step explanation:

The number cube has 6 faces labelled 1 - 6.

There are 4 numbers less than 5 (1, 2, 3, 4).

Therefore, the probability that the cube lands on a number less than 5 is:

4/6 = 2/3

Select the term that does not describe the triangle. Select all that apply.
A) acute
B) obtuse
C) scalene

Answers

The triangle is not obtuse. The triangle IS both acute and scalene.

Answer:

B) obutse

Step-by-step explanation

none of the angles are above 90 degrees so it cant be obtuse. All of the sides are unequal so it is scalene. Lastly, all of its angles are smaller than 90 degrees making it scalene and acute, not obtuse

Please help! Correct answer only!

For a fundraiser, there is a raffle with 50 tickets. One ticket will win a $180 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?

Answers

Answer:

$ 3.60 ; Type in 3.60

Step-by-step explanation:

Consider the steps below;

[tex]Total Number of Tickets - 50 Tickets,\\Possible Number of Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 50\\Money Won - 180 Dollars,\\\\Proportionality - 1 / 50 = x / 180, Where, x = " Expected Payoff "\\\\1 / 50 = x / 180,\\1 / 50 * 180 = x,\\x = 180 / 50,\\x = 3.60 Dollars,\\\\Conclusion ; x = 3.60 Dollars[/tex]

Solution ; " Expected Payoff " ⇒ $ 3.60

can someone answer number 10 and show the work? I really need it please

Answers

Answer:

D

Step-by-step explanation:

f(x)=(3/5)x-10

f(5)=(3/5)(5)-10=

3-10=

-7

Hope this helps!

HELP ASAP!!1 Write the phrase as a rate in simplest form. 320 miles on 34 gallons ​ a. 160miles/ 17 gallons ​ b. 160miles/ 34 gallons ​ c. 320gallons/ 34 miles ​ d. 320miles/ 34 gallons ​ e. 160gallons/17 gallons ​

Answers

Answer: c( 320 gallons/34 miles or d( 320 miles/34 gallons

hope it helps..

Try to form a triangle by dragging points a and d, is it possible to form a triangle with side lengths 1, 5, and 3 units

Answers

Answer:

It is not possible.

Step-by-step explanation:

The triangle inequality theorem states that any 2 sides of a triangle must be greater than or equal to the other side. If you add 3 and 1, you get 4, and that is less than 5, so the triangle cannot exist.

Answer:

1. No

2. Yes

3. No

4. Yes

5. Yes

Step-by-step explanation:

These are the answers for edge 2021

Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of $29.

Answers

Answer:

250 minutes with the flat rate of $29.

[tex]x\leq 250[/tex]

x would be the number of minutes called.

[tex]x-250[/tex]

Tracy would be charged by $0.35 per minute.

[tex]f(x)=29\\ 0\leq x\leq 250[/tex]

[tex]f(x)=0.35(x-250)+29,\\250\leq x\leq ∞[/tex]


What is a reasonable product of 3 9/10× 4 1/5?

Answers

Answer: 16.38

Step-by-step explanation: I had this same math problem a while ago and got it right.

Answer:

hello 55

Step-by-step explanation:

36x^2-16 factored. please and thanks

Answers

Answer:

(6x+4)(6x-4)

Step-by-step explanation:

a^2 - b^2 = (a+b)(a-b).

sqrt of 36x^2 is 6x; sqrt of 16 is 4.

a = 6x, b = 4.

Answer:

[tex] (6x - 4)(6x + 4) \\ [/tex]

Step-by-step explanation:

[tex]36 {x}^{2} - 16 \\ {6}^{2} {x}^{2} - {4}^{2} \\ (6x - 4)(6x + 4)[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

How do i graph the quadratic function f (x)=-(x-3)(x+1)

Answers

Answers:

It's basically Inside, Outside, Outside, Inside. (I. O.O.I.)

Explanations:

Given

[tex]f(x)=-(x-3)(x+1)[/tex]

Distribute the (-1) to (x-3)

[tex]f(x)=(-x+3)(x+1)[/tex]

Now let's work the I. O. O. I.

Inside:

[tex](-x)(x)=-x^2[/tex]

Outside:

[tex](-x)(1)=-x[/tex]

Outside:

[tex](3)(x)=3x[/tex]

Inside:

[tex](3)(1)=3[/tex]

Add both the outsides (-x) and (3x) together

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

Your new equations is now.

[tex]f(x)=-x^2+2x-3[/tex]

4 Student is 20% of ____ students

I need the answer please help me I don't want to fail my math class

Answers

Answer:

4 Student is 20% of 20 students

Step-by-step explanation:

if 4 = 20% then 1 = 5% to get a hundred percent then you need to multiply by 20

so 20

4 Student is 20% of 20 students

Answer:

4 Student is 20% of _20___ students

Step-by-step explanation:

20% of x = 4

20% = 0.20

of means multiplication so

0.2 * x = 4

x = 4 / 0.2 = 40 /2 =20

I will mark you brainliest!!!! What is the first step in adding these equations to eliminate y?

Answers

Answer:

I believe D

Step-by-step explanation:

If you multiplied -3 times 3 that would make -9

you can then add 9 + -9 and cross y off

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

THANKS FOR GIVING BRAINLIEST.

So we need to first find out f(7)

That would be if you look at the line its -1 on the y.

g(-1) on the line is 1 on x

10*-1+9*1

= -10+9

answer is -1

Answer:

10* f(7) +9* g(-1) = -1

Step-by-step explanation:

f(7) = -1, g(-1) = 1

10* f(7) +9* g(-1) = 10*(-1) +9*1 = -10 + 9 = -1

Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear
functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice's race?

Answers

Answer:Antonio had a head start of 3 meters

Step-by-step explanation:I took the test

Answer: Option B

(B) Antonio had a head start of 3 meters.

Step-by-step explanation:


Plzz give an example

how do you round to the nearest cubic

Answers

round you volume measure to a whole number. like if it was 80.4 it would be 80

Answer:

I'm assuming that you mean "Cubic Unit". I will use inches in this example, but this will work with other units as well.

Let's say that the volume of a figure was 124.86 cubic inches.

Rounding to the nearest cubic inch is the same thing as rounding to the nearest whole number.

Locate the 'ones' place:

124.86

Check next door:

124.86

If the next door number is greater than or equal to 5, then we round up. If it's less than 5, we round down.

8 is greater then 5. Therefore, we would round up.

So, 124.86 cubic inches to the nearest cubic inch is 125 in³.

124.86in³ ≈ 125in³

Is a percent a ratio?
Describe using 1 complete sentence.

Answers

Answer:

Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100. In a box of eight donuts two have pink sprinkles. ... Fractions, percent and decimals can all represent the same number, but they are expressed differently.

Step-by-step explanation:

i hope this is what u are looking for

The table provides on road accidents reported to the police for the days in December

Accidents reported Frequency
0-5 9
6-10 10
11-15 6
16-20 6


Estimate the mean.
Give your answer rounded to 1 DP.

Answers

Answer:

[tex]Mean = 9.3[/tex]

Step-by-step explanation:

Given

Let accidents reported be represented by x and the frequency be represented by f

x -----   f

0-5 --   9

6-10 --  10

11-15 --   6

16-20 -- 6

Required

Calculate the Mean;

To calculate the mean of a grouped data, the first step is to calculate the midpoint of the observation;

When x = 0 - 5

Midpoint = 0.5(0 + 5) = 0.5 * 5 = 2.5

When x = 6 - 10

Midpoint = 0.5(6 + 10) = 0.5 * 16 = 8

When x = 11 - 15

Midpoint = 0.5(11 + 15) = 0.5 * 26 = 13

When x = 16 - 20

Midpoint = 0.5(16 + 20) = 0.5 * 36 = 18.

So, the new table is as follows;

x ------- f

2.5 ----  9

8 -----  10

13 ------ 6

18 ------ 6

Mean is calculated by ∑fx/∑f

Where ∑fx represent sum of the product of f and x

∑f represent sum of frequency

∑fx = 2.5 * 9 + 8 * 10 + 13 * 6 + 18 * 6

∑fx = 288.5

∑f = 9 + 10 + 6 + 6

∑f = 31

So,

[tex]Mean =\frac{288.5}{31}[/tex]

[tex]Mean = 9.3064516129[/tex]

[tex]Mean = 9.3 (Approximated)[/tex]

Hence, the mean of road accidents in December is 9.3

Anna has 2 purple lipsticks, 3 red lipsticks and 3 pink lipsticks in her kit. She picks one lipstick, record its color, puts it back in the kit and draws another lipstick. What is the probability of taking out a purple lipstick followed by the red lipstick?

Answers

Answer:

9/64

Step-by-step explanation:

This is a probability problem on selection with replacement, that is the sample size does not change after each selection or event.

Given data

2 purple lipsticks,

3 red lipsticks and

3 pink lipsticks

The sample space s=(2,3,3)

The sample size= 8

1. the probability of taking a purple lipstick Pr(purple)= [tex]\frac{3}{8} \\[/tex]

2.the probability of taking a red lipstick Pr(red)= [tex]\frac{3}{8}[/tex]

probability of taking out a purple lipstick followed by the red lipstick is

[tex]= \frac{3}{8} * \frac{3}{8} = \frac{9}{64}[/tex]

What is 1c, (look at photo) I will make you brainliest!!!!

Answers

Answer:

p=4 and q could be any real number (except 1 because then CD would not be a line since the points would lie on top of each other).

Step-by-step explanation:

For CD to be horizontal, both of the y coordinates for CD need to be equal. Since we are already given one of the y coordinates (the y coordinate for D is 4), then we know that the y coordinate for C (p) is 4 as well). Since it doesn't really matter what q is (any value of q except 1 would create a horizontal line with point C as long as p=4), it is any real number except 1.

On a shelf there are 6 novels, 8 poetry books, and 4 mystery books. What is the probability that person A chooses a novel,then a mystery and walks away, then person B picks a mystery and a poetry book?

Answers

Answer:

2/255

Step-by-step explanation:

In total, there are 18 books on the shelf.

The probability that person A will pick a novel is 6/18 = 1/3

There are now 5 novels and 17 total books on the shelf

The probability that person A then picks a mystery is 4/17.

There are now 3 mysteries and 16 total books on the shelf.

The probability that person B then picks a mystery is 3/16.

There are now 2 mysteries and 15 total books on the shelf.

The probability that person B then picks a poetry book is 8/15.

The probability that all these events occur back to back is the product of their individual probabilities. Therefore, the probability is:

1/3 * 4/17 * 3/16 * 8/15 = 2/255

Hhh I’m very bad at math

Answers

Answer:

See below;

Step-by-step explanation:

21 . Consider an exponential function;

[tex]Exponential Function in Form - y = a * b^x, where, a - start value, b - growth factor, x - time,\\\\Now y = f ( x ), in Other Words,\\p ( t ) = 300 * ( 0.5 )^t - Given,\\\\Through Substitution - f ( x ) = p ( t ), a = 300, b = 0.5, x = t,\\\\Conclusion ; 300 - ( start value ) - Starting Amount of Milligrams of Compound,\\0.5 - Milligrams Compound Decreases by[/tex]

Solution; Provided Directly Above

In a certain room, there are 28 women and 21 men. What is the ratio of
men to women? What is the ratio of women to the total number of
people?

Answers

Answer:

The men to women ratio is 3 : 4The ratio between women to total number of people is 4 : 7

Step-by-step explanation:

Men to women ratio = 21 : 28 or 3 : 4

The men to women ratio is 3 : 4

Total people = 21 + 28 = 49 people

The ratio of women to total number of people is

28 : 49 or 4 : 7

The ratio between women to total number of people is 4 : 7

Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on
their shelf. The volume of the box is 10,000 cm3. The base of the box is 25 cm by 10 cm.
How tall is the box of cereal?
am

Answers

Answer:

40cm

Step-by-step explanation:

A box is normally in the shape of a cube

formula of volume of a cube;

We want to find the height(tallness)

Volume=LengthxWidthxHeight

10000=25x10xHeight

10000=250H. (divide both side by 250 to remain with H only)

10000/250=250H/250

40cm=Height

how do you change a rational number to a decimal

Answers

Answer:

see below

Step-by-step explanation:

do long division

for example 42/8 = 5 2/8 =5 1/4 =5.25

12. Which of the following numbers is
contained in the solution set of the
inequality 1-5x + 35| > 20?
A
-1
B
3
С
9
D
10

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:


Select the correct answer.
What is the simplest form of the ratio 11 : 16?
A.
1:6
B
5:8
c.
11.16
D.
22:32​

Answers

Answer:

C

Step-by-step explanation:

The ratio 11:16 cannot be simplified

Answer:

Its already in simplest form

Step-by-step explanation:

You can think of it as a fraction. you cant divide 11 by anything besides 1 and itself. 11 doesnt go into 16 at all, completely. So the ratio cant be simplified

Evaluate [(40 + 5) − 3^2] ÷ 9 ⋅ 2. (1 point)

Answers

Answer:

[(40 + 5) − 32] ÷ 9 ⋅ 2

[(45) − 32] ÷ 9 ⋅ 2

[(13)] ÷ 9 ⋅ 2

[(13)] ÷ 9 ⋅ 2

  _

1.4... ⋅ 2

_

2.8... ←Answer

Step-by-step explanation:

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