Which expression is equivalent to 6k? – 7k – 20?
A (3k-4)(2k-5)
B (6k-5)(6k+4)
C (3k+4)(2k-5)
D (3k+4)(3k+5)

Answer:

sin A = [tex]\frac{12}{37}[/tex]

Step-by-step explanation:

sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12}{37}[/tex]

Answer:

6

Step-by-step explanation:

If you use the distance formula, which is [tex]\sqrt{(x_{2}-x_{1})+(y_{2}-y_{1})[/tex] and you plug everything in, you get 6.

Answer:

$ 22.5

Step-by-step explanation:

B(x) = 30.50 - 0.20x

Notice that x defines the number of prints.

For prints = x = 40

B(40) = 30.50 - 0.20(40)

B(40) = 30.50 - 8

B(40) = 22.5

Remaining amount is $22.5

B(x) is defined as at starting you had $30.50 then you kept on spending with a period of 20 cents(= 0.20 dollar). So 30.50 kept on decreasing by 0.20. Each time you spend, you give 0.20.

That's why the function is 30.50 - 0.20x.

Where x is the nunber of times you spend(buying prints)

Step-by-step explanation:

I don't know what constructions you were taught.

a "similar" triangle is a triangle with exactly the same angles as the other triangle, but the lengths of all sides are stretched or shortened by the same scaling factor f.

by saying 1:2 she means the second triangle should have sides with twice the lengths of the first triangle (f=2).

and the extra challenge - same basic thing. she allows you to pick one of the two triangles as reference. and then you need to draw a third triangle (again with the same angles) with the side lengths extended by the scaling factor f of 4/3.

I would draw the triangles right on top of each other with the same starting corner (let's call it A) for all 3.

we would get the triangles ABC, AMN and AXY.

the points B and C would be then halfway on AM and AN.

and M and N would then a bit before X and Y on AX and AY.

the beauty is, you only need to construct 2 sides of every new triangle down to the new endpoints. the third side is automatically scaled correctly, and you only need to connect these new endpoints.

let's assume you draw a triangle (just very simple) ABC with all side lengths being 3. so, AB=3, AC=3, BC=3.

now you draw AMN by extending AB and AC to a side length of 6 (f=2) creating M and N, and you connect M and N.

and then you can create the third triangle AXY by extending AM and AN by a factor of 4/3 to side lengths of 8 (4/3 × 6 = 8) creating new end points X and Y. and you connect X and Y.

and that is it. all 3 triangles are similar (the same angles), and all sides of a triangle have the same length ratio to the sides of the other triangle(s).

Answer:

146

Step-by-step explanation:

angle AB is an inscribed angle and arc AB is it's intercepted arc

An inscribed angle is equal to half the measure of its intercepted arc

Which means that an intercepted arc is equal to two times the measure of its corresponding inscribed angle

Thus, arc ab = 2(73)

2 * 73 = 146

hence, arc AB = 146

Answer:

mAB = 146°

Step-by-step explanation:

We can notice that the angle given is an inscribed angle and an inscribed angle is 1/2 the arc it intercepts. We can set up an equation to model the situation:

73° = 1/2(mAB)

mAB = 146°

orayt so 28 degree and 175 feet is about...the fox jumps into the lazy dog and say "c'mon barbie let's go party! ah ah ah yeah"....but i dont know the answer as well so thank you.

Answer:

Approximately [tex]329\; \rm ft[/tex], assuming that the ground between Bern and Frank is level.

Step-by-step explanation:

Refer to the diagram attached.

The kite is right above Frank. Therefore, the imaginary line segment (the dashed line segment in the diagram) would form a right angle with the ground under Frank. Bern, Frank, and the Kite would be the three vertices of a right triangle.

The question states that from the perspective of Bern, the angle of elevation of the kite is [tex]28^\circ[/tex]. In this right triangle, the side opposite to this angle would be the imaginary line segment between Frank and the kite over him. The question states that the length of this imaginary line segment is [tex]175\; \rm ft[/tex].

The question is asking for the length of the line segment between Bern and Frank. In the right triangle pictured in this diagram, that line segment would be the side adjacent to the [tex]28^\circ[/tex] angle.

The cotangent of [tex]28^\circ[/tex] would be the ratio between the length of these two sides:

[tex]\displaystyle \cot (28^\circ) = \frac{\text{adjacent}}{\text{opposite}}[/tex].

[tex]\begin{aligned}\text{adjacent} &= \text{opposite} \cdot \cot(28^\circ) \\ &= (175\; \rm ft) \cdot \cot(28^\circ) \approx 329\; \rm ft\end{aligned}[/tex].

Answer:

x=44 and y=21

Step-by-step explanation:

The large one is x

The small one is y

According to given conditions,

x+y=65[Sum of two number is 65]—Equation(1)

x-23=y [Smaller number is less than 23 than larger]——Equation (2)

From equation (2) we can write,

x-y=23——-Equation(3)

Now adding equation (1) and (3) we get,

x+y+x-y=65+23

=>2x=88

=>2x/2=88/2 [Both sides are divided by 2]

=>x=44

Now putting the values in equation (2) we get,

44–23=y

=>y=21

Large, x=44 and Small, y=21

Answer: y=2 and x=6

Step-by-step explanation:

x=3y

4x+5y=34

From equation ( 1) x=3y thus substituting in eqn(2)

4(3y)+5y=34

12y+5y=34

17y=34

y=34÷17=2

Thus y=2

Putting y=2 in eqn(1)

x=3y

x=3(2)

x=6

Answer:

1224.05

Step-by-step explanation:

formula:

PV(e^(it))

550*e^(.04*20)=1224.0475 which rounds to 1224.05

Answer:

False

Step-by-step explanation: 5x3 is 15 and 25 is greater than 15 so the inequality is false.

Answer:

48 m^2

Step-by-step explanation:

Since this is a parallelogram, you can think of it as taking the triangle off of the left side and reattaching it on the right side to make a rectangle. After you visualize it as a rectangle, you just have to multiply 8 by 6 to get 48 meters squared.

Answer:

the answer is B

Step-by-step explanation:

because it is in the form ax^2+bx+c

for god sake pls are you serious?! i just can't believe! for a st...upi...d reason you got here before me?!? are you upset cuz you can't have what you wanted?!

Answer:

there is not enough information

Answer:

3. below

<D = 75°

<E = 37°

<F = 68°

4. below

<G = 50°

<H = 80°

<I = 50°

5. below

<A = 55°

<B = 90°

<C = 35°

Step-by-step explanation:

In a triangle, all angles add up to 180°, so we can set up equation accordingly:

3. m<E + m<F + m<D = 180°

6x + 1 + 68 + 13x - 3 = 180

19x + 66 = 180

19x = 114

x = 6°

We can substitute the value of x back into the expressions for each angle:

m<E = 6x + 1 = 6(6) +1 = 36 + 1 = 37°

m<F = 68°

m<D = 13x - 3 = 13(6) - 3 = 75°

4. m<G + m<I + m<H = 180°

2x + 2x + 4x - 20 = 180

8x - 20 = 180

8x = 200

x = 25°

We can substitute the value of x back into the expressions for each angle:

<G = 2x = 50°

<H = 4x - 20 = 4(25) - 20 = 80°

<I = 2x = 50°

5. m<B + m<C + m<A = 180°

90 + 3x + 5 + 5x + 5 = 180

100 + 8x = 180

8x = 80

x = 10°

We can substitute the value of x back into the expressions for each angle:

<A = 5x + 5 = 5(10) + 5 = 55°

<B = 90°

<C = 3x + 5 = 3(10) + 5 = 35°

Answer:

2 blocks

Step-by-step explanation:

if you go from zero to -3 on the number line and then go to the right by 5 units, you wind up at 2

Answer:

100 cm

Step-by-step explanation:

This is a linear function with an equation of y = 20x.

Plug 5 in for x to get 100 as your answer.

Answer: 100 cm

Step-by-step explanation: Since the car can travel 20 cm per second and it traveled 80 cm in 4 sec, then it can travel 100 cm in 5 seconds

(Tip: If it asks to show your work, try drawing a ratio table and write the centimeters it travels per second .)

Answer:

Min: 1

Q1: 2.75

Med: 12.5

Q3: 8.25

Max: 19

Step-by-step explanation:

Answer:

x= 8/9

Step-by-step explanation:

You must divide 8/21 & 3/7 As a fraction.

Answer:

D) 7x+5

Step-by-step explanation:

hope it helps.

Answer:

[tex]D) 7x + 5[/tex]

Step-by-step explanation:

[tex]2(2x+1)+3x+3[/tex]

[tex]2(2x)+2 \times 1+3x+3[/tex]

[tex]4x+2 \times 1+3x+3[/tex]

[tex]4x+2+3x+3[/tex]

[tex]7x+2+3[/tex]

[tex]7x+5[/tex]

Answer:

3x*59x=

Step-by-step explanation:

Answer:

126 degrees

Step-by-step explanation:

The opposite angles of a parallelogram are equal, so 4x + 2 = 8x - 50. By subtracting 4x from both sides of this equation, we get that 2 = 4x - 50. Adding 50 to both sides yields 52 = 4x, and dividing by 4 gives us that x = 13.

By substituting this, we see that the measure of angle A is 4(13)+2, which is 54 degrees. Angle B is supplementary to angle A, so its measure is 180-54, which is 126 degrees.

Answer:

-1 - i

Step-by-step explanation:

First, start by distributing the negative sign(-1), and you get:

5 - 6 - 3i + 2i

Next, combine the like terms, 5 & -6, and -3i & 2i.

This gives us: -1 - i

Answer:

IT'S (x+9)(x-9)

Step-by-step explanation:

Answer:

y=-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-(-3))/(3-(-4))

m=(-3+3)/(3+4)

m=0/7

m=0

y-y1=m(x-x1)

y-(-3)=0(x-(-4))

y+3=0(x+4)

y+3=0

y=0-3

y=-3

BCA necau u must add the 3 together

Answer:

x=16

Step-by-step explanation:

Both angles are verically opposite angles

so

4x+21=85

4x=85-21

4x=64

x=16

Answer:

this just helped me so much

Step-by-step explanation:

Omg ilysm and thank you for spreading such positivity Muaahhh<3

Answer:

11 1/9 ft^3

Step-by-step explanation:

find the complete question in the attached image

volume of the tank = length x width x height

2 x 5 x 1 2/3

2 x 5 x 5/3 = 50/3 = 16 2/3 ft^3

If the tank is 1/3 filled with water, the volume that needs to be filled with water is 1 - 1/3 = 2/3

volume that needs to be filled with water = 2/3 x volume of the tank

2/3 x 50/3 = 11 1/9 ft^3