In the diagram below ABE = 65° and DĈF = 32º. E- B 650 D 32°C A F Calculate the size of EBC​

Answers

Answer 1

Step-by-step explanation:

lol wea is the diagram??


Related Questions

HELPPPPP ASAP!!!! Thx!! and NOOO FILESSSS!!

Answers

Answer:

[tex]x=32[/tex]°

Step-by-step explanation:

The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:

[tex]\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}[/tex]

Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).

Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.

[tex]\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}[/tex]

[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}=\frac{sin(x)}{10}[/tex]

One can shorten the equation so it only holds the parts that will play a role in solving this equation,

[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}[/tex]

Now take the cross product in this equation to simplify it further,

[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}[/tex]

[tex]17(sin(x))=10(sin(116))[/tex]

Inverse operations, solve this equation for (x),

[tex]17(sin(x))=10(sin(116))[/tex]

[tex]sin(x)=\frac{10(sin(116))}{17}[/tex]

[tex]x=sin^-^1(\frac{10(sin(116))}{17})[/tex]

[tex]x=31.91782...[/tex]

[tex]x\approx32[/tex]

Answer:

hello,

Step-by-step explanation:

the triangle is isocele,

x+x+116=180

x=(180-116)/2

x= 32° (thirty-two , trente-deux in french)

TWO TEST
23. Evaluate 4b2 for b
= -1/2

Answers

4b² when b = -1/2

[tex] = {4( \frac{ - 1}{2})}^{2} \\ = 4( \frac{1}{4}) \\ = \frac{4}{4} \\ = 1[/tex]

Answer:

-4

Step-by-step explanation:

4b x 2 when b = -1/2

1) put -1/2 where b is.

4 x -1/2 x 2

2) solve.

-2 x 2

-4

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Indicate the equation of the line through (2, -4) and having slope of 3/5.

Answers

Answer:

The equation of the line is [tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex].

Step-by-step explanation:

Given the values of the slope and a point of the line, we can derive the equation of the line by means of this formula:

[tex]y-y_{1} = m\cdot (x-x_{1})[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]m[/tex] - Slope.

[tex](x_{1}, y_{1})[/tex] - Coordinates of the given point.

If we know that [tex]m = \frac{3}{5}[/tex] and [tex](x_{1},y_{1}) = (2, -4)[/tex], then the equation of the line is:

[tex]y+4 = \frac{3}{5}\cdot (x-2)[/tex]

[tex]y + 4 = \frac{3}{5}\cdot x -\frac{6}{5}[/tex]

[tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex]

The equation of the line is [tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex].

The number of home runs scored by teams in the Brooksfield baseball league are
normally distributed and have a mean of 94 and a standard deviation of 8. What
percentage of the teams have scored more than 102 home runs?

Answers

Step-by-step explanation:

o ne demek kaarrrşiömm hııı

If area of circle is 210cm ,find the value of radius

Answers

Answer:

8.18

Step-by-step explanation:

r = square root of A/ pi

R = square root 210/ 3.14

I hope the formula helped!

help plz 20 points <33333​

Answers

Answer:

B) 120 degrees

Step-by-step explanation:

it is a regular hexagon. that means all sides and all angles are the same.

Answer: B) 120

Step-by-step explanation: Since it’s a regular hexagon it will have the same side lengths and angles. So if one angle is 120, the rest will be as well.

An angle measures 73.6° more than the measure of its complementary angle. What is the measure of each angle?

PLEASE help, I'm struggling a lot!

Answers

Answer:

Let ABC = 73.6

Complement = ABD = 16.4

ABx = unknown angle

ABx + (ABx + 73.6) = 90

ABx = 16.4 / 2 = 8.2

The angles are 8.2 and (8.2 + 73.6) = 90

Matching Functions
Directions: On the next page are (5) graphs, (5) equations, (5) tables, and (5) unique properties. They are out of
order. Your performance task is to match the equation, table, and property to the correct graph.

Answers

Answer:

Graph A → Equation A → Table B → Property D

Graph D → Equation B → Table A → Property B

Graph B → Equation C → Table C → Property E

Graph C → Equation D → Table E → Property A

Graph E → Equation E → Table D → Property C

Step-by-step explanation:

Graph A corresponds to equation A, x·y = 2, and Table B → Property D

xy = 2 has a vertical asymptote at x = 0, and a horizontal asymptote at y = 0

y = 2/x, when x = 0, y = ∞

Graph D corresponds to equation B, [tex]-\left | x\right |[/tex] + 1 which corresponds to table A → Property B

The domain extends from (-∞, ∞), and [1, -∞)

Graph B corresponds to equation C, -(x + 2)² which gives the values in Table C and Property E wich is a horizontal shift of 2 units left and a reflection across the x-axis

Graph C corresponds to equation D, (1/3)·x - 2, which gives the values on Table E and Property A

The y-intercept of (1/3)·x - 2 = (0, -2), and the x-intercept = (6, 0)

Graph E corresponds to equation E, x³ = y, which gives the values on Table D  Property C, y is x cubed

NEED HELP ASAP, find the value of X

Answers

Answer:

C

Step-by-step explanation:

Given 2 intersecting chords in a circle, then

The product of the parts of one chord is equal to the product of the parts of the other chord, that is

DK × KB = AK × KC , substitute values

12(4x + 1) = 14(3 + 3x) ← distribute parenthesis on both sides )

48x + 12 = 42 + 42x ( subtract 42x from both sides )

6x + 12 = 42 ( subtract 12 from both sides )

6x = 30 ( divide both sides by 6 )

x = 5 → C

Please hurry I will mark you brainliest

What is the equation of the line through the point (2, 3) with slope -2?

Answers

Answer:

y = -2x+7

Step-by-step explanation:

The slope intercept form of a line is

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

y = -2x+b

Using the point

3 = -2(2)+b

3 = -4+b

3+4 = b

7=b

y = -2x+7

y = -2x + 7, hope this helps:)

What is the length of the altitude of the equilateral triangle below?

A. /240
B. 144
C. 12
D. 4
E. 12/3
F. 4/3

Answers

Answer:

its C  option which is 12

Answer:

A

Step-by-step explanation:

Using Pythagoras' identity in either of the 2 right triangles

a² = (4[tex]\sqrt{3}[/tex] )² + (8[tex]\sqrt{3}[/tex] )² = 48 + 192 = 240 ( take square root of both sides )

a = [tex]\sqrt{240}[/tex] → A

The slopes of 2 lines are in the attachment. what is the value of ‘a’ that will make the lines PARALLEL and PERPENDICULAR

Answers

Answer:

a. a = -12

b. a = 27

Step-by-step explanation:

a. Two lines that are parallel have the same slope, making the slopes equal ot each other:

[tex]-\frac{3}{2} =\frac{18}{a}[/tex]

We can cross multiply and solve for a:

[tex]-3a = 36\\a = -12[/tex]

b. Two lines that are perpendicular have the negative reciprocal of each other. This means that you would flip the fraction and multiply by a negative as shown below:

[tex]-\frac{3}{2} --> \frac{2}{3}[/tex]

This would be the slope of the other line, so we can write:

[tex]\frac{2}{3} = \frac{18}{a}[/tex]

as both expressions express the slope of the same line. We can cross multiply and solve to get:

[tex]2a = 54\\a = 27[/tex]

The topic= Direct and Inverse Proportions
It is given that y is directly proportional to x and y=36 and when x=12
(a)
An equation connecting to x and y

(b)
That value of y when x=5

(c)
The value of x when y=12

Please help me answer my hw, thank you!

Answers

Answer:

A) 3

B)60

C)4

Step-by-step explanation:

y = kx

36 = 12k

A)k=3

~~~~~~~~~~

b) 60

12*5

c) 4  

12/3

Density of wood is a very important trait for furniture making. There are two main important mechanical properties: strength and stiffness. Research has shown that a increase density equals an increase strength, hardness and stiffness of sawn timber.


A carpenter has two pieces of wood. He wants to find the density of each piece.


The first piece came from a birch tree. The piece of birch wood measures 2 meters by 4 meters by 3 meters and weighs (mass) 16 kilograms.


The second piece came from a cypress tree. The piece of cypress wood measures 3 meters by 5 meters by 2 meters and weighs (mass) 15.3 kilograms.


Which piece of wood has a greater density? You must show your work in order to receive credit.

Answers

Step-by-step explanation:

The Birch tree has a greater density.

(3 1/3) (6) What is the answer?

Answers

Answer:

20

Step-by-step explanation:

(6x3=18)  (6x1/3=2)  (18+2=20)

First things first!

Multiply 6 by 3 (18).

Mulitply 6 by 1/3 (2).

Add 18 and 2, and ... *drum roll*, the final answer is 20!

Hope this helps :)

The price of grapes at the grocery store is $1.44 per pound. There are approximately 0.45 kilograms in a pound. To the nearest cent, what is the price of grapes in dollars per kilogram?

$0.65 per kilogram
$0.99 per kilogram
$1.89 per kilogram
$3.20 per kilogram

Answers

Answer:

$3.20 / kg

Step-by-step explanation:

$1.44 / pound

so, this is normed to 1 pound = 0.45 kg.

now we want to transform that to have 1 kg as the norming unit.

for this we need to multiply the top and the bottom of the ratio with the same number, so that the value of the ratio remains unchanged, but that the bottom turns into 1 kg.

so, what do we need to turn 0.45 into 1 ?

0.45 × x = 1

x = 1/0.45 = 1/1 / 45/100 = 100/45 = 20/9 = 2.22222...

since we need to multiply top and bottom with the same factor, we get

(1.44/0.45) × (2.222222/2.222222) =

(1.44 × 2.222222) / (0.45×2.222222) =

(1.44 × 2.222222) / 1kg = $3.20 / kg

the answer is number 4 or d

I just need to know if my answer is correct or not please!

Answers

yes, it’s correct!!

Answer:

Step-by-step explanation:

correct 100%

Someone please help me with this

Answers

Answer:

Step-by-step explanation:

Answered by Gauthmath

Jan is the regional manager of Graphic DesignWorks. She uses a company
cell phone that costs $125 each month. She manages 5 branches of Graphic
DesignWorks equally. How much of her annual cell phone bill will each branch
pay for?
A. $125
B. $300
C. $150
D. $500

Answers

Answer:

300

Step-by-step explanation:

If each branch pays the bill equally, and the bill accounts for a year's worth of pay, then you should multiply 125*12~giving you 1500

Then you divide 1500/5, since the 5 company's pay equally... this is equal to 300 dollars.

Answer:

B. $300

Step-by-step explanation:

annual : yearly

$125 per month for 12 months

125(12) = 1500

$1500 equally split among 5 branches

1500/5 = 300

Each of the 5 branches contributes $300 each per year to Jan's cell phone bill.

PLZZZ HELPPPPP, HAVE 10 MORE QUESTIONS AND NEED TO FINISH IN 5 MINS

Answers

Answer:

2 cups

Step-by-step explanation:

It would be 1/2 times 4, which would be 2 cups of lime juice.

Write the equation of the graph shown below in factored form?

Answers

Answer:

1st option

Step-by-step explanation:

If x = a is a zero of f(x) then (x - a) is a factor of f(x)

Here the zeros ( where the graph crosses the x- axis ) are

x = - 2, x = 1, x = 3 , then the corresponding factors are

(x - (- 2) ), (x - 1), (x - 3) , that is (x + 2), (x - 1), (x - 3)

f(x) is then the product of the factors , that is

f(x) = (x + 2)(x - 1)(x - 3)

Instructions: Find the measure of the missing angles in the kite

Answers

Answer:

m∠1 = 90º

m∠2 = 25º

Step-by-step explanation:

m∠1

diagonals of a kite are perpendicular by definition

m∠2

the 65º angle, the angle to the right of ∠1, and ∠2 form a triangle

we know that triangles are 180º

65º + 90º + m∠2 = 180º

m∠2 = 25º

A flagpole is propped on the east side corner of the roof of a building. The angle of depression from the top of the flagpole (Angle B) to a point on a neighboring building is 54 degrees. The angle of depression from the bottom of the flagpole (Angle A) to that same point on the building is 41 degrees. The distance from the edge of the building with the flagpole to the point on the neighboring building is 1660 feet (x). What is the height of the flagpole to the nearest tenth

Answers

Answer:

The height of flag pole is 841.8 ft.

Step-by-step explanation:

Let the height of the flag post is h.

x = 1660 ft

According to the triangle, ABC

[tex]tan 41 = \frac{y}{1660}\\\\y = 1443 ft[/tex]

Now According to the triangle ABD

[tex]tan 54 = \frac{h + y }{1660}\\\\h + 1443 = 2284.8\\\\h = 841.8 ft[/tex]

Is A ABC similar to A DEF? Why or why not?
B
E
8 ft
95
6 ft
95°
d
25°
60°
25°
60°
А
10 ft
F
CD
7.5 ft
#
Choice
A.
Yes, because the angles are congruent and the sides are
proportional
B.
Yes, because if at least one pair of angles are equal, the
triangles are similar.
C.
No, because although the angles are congruent, the sides are
not.
D.
We cannot tell because the third side is not given.
A
B
С
D

Answers

Answer:

Its either A or B

Step-by-step explanation:

I am not sure tho

Answer:

B ,because they are similar

my teacher told me

Is the answer I’ve chosen correct? This is really confusing for my stressed brain :(.

Answers

Answer:

X is greater than 5.

Step-by-step explanation:

You choose the correct answer because X > 5.

Meaning that x would be any number over 5.

Find the value of x.

A. 75
B. 80
C. 57
D. 40

Answers

Answer:

80

Step-by-step explanation:

since a=40

40x2 is 80

The value of x is 80 which is the correct answer would be an option (B)

What are the Angles of Intersecting Secants Theorem?

Angles of intersecting secants theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one-half the positive difference of the measures of the intercepted arcs.

Given that angle ∠a = 40°

∠x = 2∠a

Substitute the value of ∠a = 40°

∠x = 40×2

∠x = 80°

Hence, the value of x is 80 degree

Learn more about the Angles of intersecting secants here:

brainly.com/question/15532257

#SPJ2

Theodore recently hired a contractor to do some necessary work. On the final bill, Theodore was charged a total of $715. $315 was listed for parts and the rest for labor. If the hourly rate for labor was $50, how many hours of labor was needed to complete the job?

Answers

Answer:

Hours of labor needed  = 8 hour

Step-by-step explanation:

Given:

Amount total charged = $715

Listed amount = $315

Hourly rate for labor = $50

Find:

Hours of labor needed

Computation:

Total amount of labour = Amount total charged - Listed amount

Total amount of labour = 715 - 315

Total amount of labour = $400

Hours of labor needed  = Total amount of labour / Hourly rate for labor

Hours of labor needed  = 400 / 50

Hours of labor needed  = 8 hour

Find an explicit rule for the nth term of the sequence.

-1, -5, -25, -125, ...

Answers

Answer:

-(5^N)

Step-by-step explanation:

The sequence is a negated 5 to the N power

ex.) -(5^0) = -1

-(5^1) = -5

-(5^2) = -25

-(5^3) =125

which is the right equation

Answers

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{2}{3}[/tex] x + 1 ← is in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Parallel lines have equal slopes , then

the slope of a parallel rail has slope = [tex]\frac{2}{3}[/tex]

The only equation with this slope is

y = [tex]\frac{2}{3}[/tex] x + 3 ← could represent the path of the second rail → C

What’s the coordinates for Y-3>2x+2 on a graph?

Answers

Hmm the answer would be Yx3-10=43
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