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

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

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

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

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

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

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

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.

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

Answer:

Step-by-step explanation:

correct 100%

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.

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

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]

Step-by-step explanation:

o ne demek kaarrrşiömm hııı

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)

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

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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].

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

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

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

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.

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

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 :)

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]

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)

Answer:

8.18

Step-by-step explanation:

r = square root of A/ pi

R = square root 210/ 3.14

I hope the formula helped!

Answer:

2 cups

Step-by-step explanation:

Step-by-step explanation:

The Birch tree has a greater density.

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)

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

Answer:

Step-by-step explanation:

Answered by Gauthmath