What Is the measure of DEF?​

What Is The Measure Of DEF?

Answers

Answer 1

Answer:

107

Step-by-step explanation:

EFD + 135 = 180

EFD = 45

DEF + 28 + 45 = 180

DEF + 73 = 180

DEF = 107

Answer 2

Answer:

∠ DEF = 107°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

135° is an exterior angle of the triangle , then

∠ DEF + 28° = 135° ( subtract 28° from both sides )

∠ DEF = 107°


Related Questions

Write an equation for a line that is perpendicular to the line 6y – 9x = 12

Answers

Answer:

y = -2/3x + 4

Step-by-step explanation:

first we take the original equation and convert it to y=mx+b (a form we know how to graph)

that gives us y = 3/2x + 2

(Here's my work for that):

6y - 9x = 12; add 9x on both sides

6y = 9x + 12; divide 6 on both sides

y = 9/6x + 12/6

y = 3/2x + 2

next to make a line *perpendicular* to this, we make the slope negative and swap the fraction (-2/3)

then we just uh graph that slope and try to find the y intercept. i did it already and i got 4

Answer:

Step-by-step explanation:

You need one more piece of information to get a specific line. I'll get the general one and then we'll see what comes of it.

Add 9x to both sides.

6y - 9x + 9x = 9x + 12

6y = 9x + 12                   Divide by 6

6y/6 = 9x/6 + 12/6

y = 1.5x + 2

Now the perpendicular line must have a slope that is found by using

m1 * m2 = - 1

m1 = 1.5             From the equation above.

1.5 * m2 = - 1     Divide by 1.5

m2 = -1/1.5

m2 = - 2/3

So far what you have is

y = -2/3 x + b                  You need a value for b. Usually that is found with a point. But I will just call b = 1 since there is nothing else to do

The complete equation becomes

y = -2/3 x + 1

The graph is enclosed.

Suppose the 100 people in society X all know the same 10 facts, while the 10 people in society Z specialize, with each person knowing 5 unique facts as well as 5 facts also known by the other 9 members of the society. If the standard of living is roughly equivalent to the average number of social facts known per person, which society has a higher standard of living

Answers

Answer:

29 times

Step-by-step explanation:

Given :

Society X ;

Population = 100

Number of facts known = 10

Average fact known per person = known fact / population = 10 / 100 = 0.1

Society X:

Population = 19

Common fact known by 9 = 5

Specialized fact, known by 10 = 5 * 10 = 50

Total facts = common + specialized = 55

Average fact known per person = 55 / 19 = 2.8947368 fact per person

Number of times society Z is better :

2.8947368 / 0.1 = 28.947 times

Approximately 29 times

-40 divided by what makes -4

Answers

Answer:

10

Step-by-step explanation:

<3

4, 9, 13, 18,
The common difference 'd' is

Answers

Answer:

There is no common difference

Step-by-step explanation:

     4      9      13      18

diff     5      4       5

Because the difference between 9 and 13 is 4

and the difference in the other terms is 5

there is no common differeence

6
(
f
+
4
)
+
2
(
f
+
4
)

Answers

6(f+4) + 2(f+4)

Use the distributive property:

6f+24 + 2f + 8

Now combine like terms:

8f +32

The answer is 8f + 32

Answer:

8 f + 32

Step-by-step explanation:

6 ( f + 4 ) + 2 ( f + 4 )

Distribute

6 × f + 6 × 4 + 2 × f + 2 × 8

6 f + 24 + 2f + 8

Collect like terms

6 f + 2 f + 24 + 8

Add the numbers

8 f + 32

Which expression is equal to 2 x 7 x 6?
(2 x 7) + (2 x 6)
7 x 2 x 6
(2 + 7) x (2+6)
7+2 +6
Doe-

Answers

15 is da answeretetetetetetetetetetetetetetetetet

Answer:

84

Step-by-step explanation:

3/17=y/7 round to the nearest tenth

Answers

Answer:

y=1.24

Step-by-step explanation:

cross multiply 21=17y

divide, y=21/17

a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane flew and the direction​

Answers

Answer: 336.80 miles, [tex]15.85^{\circ}[/tex] North of east

Step-by-step explanation:

Given

Plane lands at a point 324 miles east and 92 miles north

Distance is given by using Pythagoras theorem

[tex]\Rightarrow d=\sqrt{324^2+92^2}\\\\\Rightarrow d=\sqrt{113,440}\\\\\Rightarrow d=336.80\ \text{miles}[/tex]

Direction is given by using figure i.e.

[tex]\Rightarrow \tan \theta=\dfrac{92}{324}\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^{\circ}[/tex]

Direction is [tex]15.85^{\circ}[/tex] North of east

PLEASE HELP!! Which variable is most important to the following problem?

The Top Shoppe orders 85 shirts for each of its 22 stores from a clothing
manufacturer. The manufacturer has 3000 shirts in stock. The Top Shoppe pays $20 for each shirt. How much does the Top Shoppe pay for the shirts?

A. The total cost of the shirts
B. The number of shirts the manufacturer has left after the order
C. The sizes of the shirts ordered
D. The number of shirts the Top Shoppe orders

Answers

Answer:

ok so we know that it order 85 shirts for each of its 22 stores so we can multiply 22 by 85 which is 1870. so the company order 1870 shirts and they pay 20$ for each so we can multiply 1870 by 20 which is 37400. so top shoppe pays 37400 for the shirts.

A=37400

B=I don't know what the order was so i dont know

C= also there is nothing about the size of the shirts

D=1870

so the most important variable is probity A but there could be an argument made about the importance of D.

Your Welcome

BIFFY OUT!!!

One day, a café sells 3 more than twice the number of cappuccinos as they do lattes. They sold a total of 33 cappuccinos and lattes
together.
Which equation could be used to find the number of lattes, x, sold at the café?

Answers

Answer:

x +(2x + 3) = 33

Step-by-step explanation:

two equations can be derived from the question

c = 3 + 2x equation 1

c + x = 33 equation 2

where :

c =  cappuccinos

x =  lattes

make c the subject of the formula in equation 2

c = 33 - x equation 3

equate 3 and 1

x +(2x + 3) = 33

Which expression can be used to find 80% of 120?


80% of 120
20%
20%
20%
20%
20%

Answers

Hello there the answers is 20 percent

Answer:

20%

Step-by-step explanation:

HELPPPPP LLAAAA SODIBEXICEC

Answers

Answer:

C)

E)

F)

D)

Step-by-step explanation:

These are all questions and answer that can be graphed, are represented on a data display. For example, the number of tomatoes on each plant can vary, and get changes through time. This is a statistical question.

Note:

Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.

-kiniwih426

HELP QUICKLY PLS WILL MARK BRAINLIEST

Answers

Number 1. 8 radical y^5

Can someone pls help me with this

Answers

Answer:

C f=9

Step-by-step explanation:

isolate f on one side so you subtract 5 from both sides to get 3f=27 and then divide by 3 on each side to get f=9

Answer:

The value of F is 9

Step-by-step explanation:

3f+5=32

3f=32-5

3f=27

f=27/3

f=9

What is the value of x?

Answers

Answer:

67.5

Step-by-step explanation:

The sum of the interior angles is 540, therefore

540 = 90 + 4y

540 - 90 = 4y

450 = 4y

450 / 4 = y

112.5 = y

X and Y together equal 180, therefore

180 = x + 112.5

180 - 112.5 = x

67.5 = x

A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.

Answers

Answer:

false negatives - 2%

false positives - 3%

Step-by-step explanation:

Here is the complete question :

A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.

% of results will be false negatives, and % of results will be false positives.

False negative means a negative result which in actuality it is positive

False negative = 100% - percent of positive result

100% - 98% = 2%

False positive result means a positive result which in actuality is negative

False positive = 100% - percent of false positive

100 - 97 = 3%

Help meeeeeeeeeeeeeee please

Answers

it would just be 6^5, the numerator of the fraction just equals to 1 when you work it or

Answer:

[tex]6^{-5}[/tex]

Step-by-step explanation:

lmk if its right :)

pls help me solve pls show how you got the answer

Answers

Answer:

Step-by-step explanation:

p=8 cm

one side=8/4=2 cm

edge of black square=2/4=1/2 cm=0.5 cm

area of one square=(0.5)²=0.25 cm²

total area of two black squares=2×0.25=0.5 cm²

length of white rectangle=2/2=1 cm

width=2/4=1/2 cm=0.5 cm

area of one rectangle=1×0.5=0.5 cm²

area of two rectangles=2×0.5=1 cm²

total area=0.5+1=1.5 cm ²

I really need help if any one knows geometry please try and help and answer these few questions
Thank you!

Answers

what are the solution of this equation

Answer:

x=12, 11

Solve each triangle. Round your answers to the nearest tenth.

Answers

Answer: The value of [tex]\angle B[/tex] is [tex]30^o[/tex], the length of BC and AC is 28 units and 25 units respectively.

Step-by-step explanation:

To calculate the value of each part of the triangle, we use:

1) Angle sum property

2) Law of sines

Starting with 1:

Calculating [tex]\angle B[/tex] by angle sum property:

[tex]\angle A+\angle B+\angle C=180^o\\\\34^o+\angle B+116^o=180^o\\\\\angle B=(180^o-116^o-34^o)=30^o[/tex]

Applying 2:

The Law of sines relates the length of the side with the sines of the angle opposite to it.

[tex]\frac{\sin 34^o}{BC}=\frac{\sin 116^o}{45}\\\\BC=\frac{\sin 34^o\times 45}{\sin 116^o}\\\\BC=28units[/tex]

Similarly,

[tex]\frac{\sin 30^o}{AC}=\frac{\sin 116^o}{45}\\\\AC=\frac{\sin 30^o\times 45}{\sin 116^o}\\\\AC=25units[/tex]

Hence, the value of [tex]\angle B[/tex] is [tex]30^o[/tex], the length of BC and AC is 28 units and 25 units respectively.

in the fist quadrant you start a 5,3 and move 2 units left and 1 unit down where would you end up?

Answers

Answer:

3,2

Step-by-step explanation:

Answer:

(3,1)

Step-by-step explanation:

If you moved two units left you would be at (3,2) the move one down you would be at (3,1)

Solve for x. In the equation 9x +1/3= x-13

Answers

Answer:

Step-by-step explanation:

9x+[tex]\frac{1}{3}[/tex]=x-13

9x*3+1/3=x-13

27x+1/3=x-13

27x+1=3(x-13)

27x+1=3x-39

27x-3x=-39-1

24x=-40

x=-5/3

x=-5/3

Answer:

x = - [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Given

9x + [tex]\frac{1}{3}[/tex] = x - 13 ( multiply through by 3 to clear the fraction )

27x + 1 = 3x - 39 ( subtract 3x from both sides )

24x + 1 = - 39 ( subtract 1 from both sides )

24x = - 40 ( divide both sides by 24 )

x = [tex]\frac{-40}{24}[/tex] = - [tex]\frac{5}{3}[/tex]

La Gioconda, de Leonardo da Vinci, es una de las pinturas mas famosas del mundo. Sus dimensiones son 77 cm de largo y 53 cm de ancho. Si un cartel publicitario tiene dicha pintura ampliada a una razon de semejanza de 5,6 ¿Cuál es el area de la reproduccion?

Answers

Answer:

mate im just here for the b coins

mate im just here for the b coins

mate im just here for the b coins

mate im just here for the b coins

mate im just here for the b coins

mate im just here for the b coins

vmate im just here for the b coins

Step-by-step explanation:

mate im just here for the b coins

mate im just here for the b coins

mate im just here for the b coins

mate im just here for the b coins

I. NEED. HELP! PLEASE!

Answers

Answer:

x = 2.5

Step-by-step explanation:

We know the adjacent and the opposite sides to the angle in a right triangle

tan theta = opp / adj

tan 26 = 1.2 /x

x tan 26 = 1.2

x = 1.2 / tan 26

x =2.46036461

Rounding to the nearest tenth

x = 2.5

tan tita = opp/adj

tan 26°=1.2/x

x=1.2/tan 26

x=2.46

x=2.5

PLEASE WHAT IS THE ANSWER????

Answers

Answer:

6

Step-by-step explanation:

A = 4 cm * 3 cm/2

A = 6 cm^2

Answer:

6

Step-by-step explanation:

I need answer for number 8 please no links and the right answer thank youuu

Answers

Answer:

y = 2/5x - 4

Step-by-step explanation:

y = mx+b  where m is the slope and b is the y intercept

y = 2/5x - 4

The numbers of blue and green beads Emma uses to make five different pieces of jewelry are recorded below. Which of the following equations relate to the number of green beads, G, to the number of blue beads, b?

Answers

Answer:

a

Step-by-step explanation:

follow the proportions

Answer:

A

Step-by-step explanation:

Somebody really smart!!!?

Answers

Answer:Its  the last one to the left up

Step-by-step explanation:

Answer:

78.5 square feet

option b

Step-by-step explanation:

area = pi*r^2

a = 3.14*5^2

a = 3.14*25

a = 78.5


Sophia drops her pencil in a cup and
notices that it only fits diagonally.
The pencil is 10 centimeters long and the
cup is 8 centimeters tall.
What is the diameter of the cup?

Answers

Answer:

5cm

Step-by-step explanation:

Since the pencil would only fit diagonally, the diameter would have to be half its length. The pencil is 10 centimeters long and 5 centimeters would be half of it.

Note:

Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.

-kiniwih426

The area of a trapezium is 147cm of the parallel sides and 5.3cm and 3.1cm long. Find the perpendicular distance between them.

Answers

Answer:

35 cm

Step-by-step explanation:

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =   x (sum of the lengths of the parallel sides) x height

h = 147x2 / (5.3 + 3.1) = 35cm

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There was an iciness, a sinking, a sickening of the heart-an unredeemed dreariness ofthought which no goading of the Imagination could torture into aught of the sublime. What was it-I paused to think-what was it that sounnerved me in the contemplation of the House of Usher? It was a mystery all Insoluble; nor could I grapple with the shadowy fancies thatcrowded upon me as I pondered. I was forced to fall back upon the unsatisfactory conclusion, that while, beyond doubt, there arecombinations of very simple natural objects which have the power of thus affecting us, still, the analysis of this power lies amongconsiderations beyond our depth. 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