Given the diagram below with line DE║ line AC. Find BC.

Answer:

7/20

Step-by-step explanation:

#red cards/total # of cards

7/(7+13)

7/20

Answer:

7/20

Step-by-step explanation:

Answer: 52/3

Step-by-step explanation:

Each card has an equal likelihood of being either on top of the jokers, in between them,

or below the jokers. Thus, on average, 1/3 of them will land between the two jokers.

Answer:

52/3

Step-by-step explanation:

The probability that they will be landed on is 52/3

Answer:

$22.95/hour.

Step-by-step explanation:

It is given that the average wage for an electrician in CA is $25.47/hour. That is 11% above the national average.

Let as consider x be the national average.

11% above the national average is

[tex]x+\dfrac{11}{100}x=x+0.11x=1.11x[/tex]

The average wage for an electrician in CA is 11% above the national average. So,

[tex]1.11x=25.47[/tex]

Divide both sides by 1.11.

[tex]x=\dfrac{25.47}{1.11}[/tex]

[tex]x=22.945945...[/tex]

[tex]x=22.95[/tex]

Therefore, the national average is $22.95/hour.

Answer: 22.95

Step-by-step explanation:

Answer:

$26.300

Step-by-step explanation:

well if its 5 or more u round to the next whole number but if its 5 or under you just round whatever ur rounding into the same number but whole

Answer:

Solution,

[tex]f(x) = 5 - x \\ f( - 4) = 5 - ( - 4) \\ \: \: \: \: \: \: \: \: \: \: \: = 5 + 4 \\ \: \: \: \: \: \: \: \: \: = 9[/tex]

hope this helps....

Good luck on your assignment...

Answer:

Equivalent

Step-by-step explanation:

15/25 and 3/5 are equivalent hope this helps

Answer:

I also think it's equivalent because it has a equal sign but I'm dumb so don't trust my answer.

Step-by-step explanation:

Answer:

I'm 90 percent sure the answer is A.

Step-by-step explanation:

Answer:

Step-by-step explanation:B

Answer:

B

Step-by-step explanation:

If you switch the x and y you can solve for the inverse by solving for y like this:

x=3y+5

3y=x-5

y=(x-5)/3

which can be rewritten as B.

Answer:

Line r has a gradient of -1/2

Step-by-step explanation:

Perpendicular lines have a gradient of negative reciprocal to each other such that multiplying both the slopes give -1

=> Gradient of this line = 2

=> Gradient of line perpendicular to it = [tex]\frac{-1}{2}[/tex]

Multiplying both gradients:

=> 2 * [tex]\frac{-1}{2}[/tex]

=> -1

(SO They are perpendicular!)

Answer

Algebra

Step-by-step explanation:

Intermediate is the same as algebra 2

Answer:

Step-by-step explanation:

Algebra

Answer: $5462.50

Step-by-step explanation:

Interest = 5000 x 9.25 / 100 = 462.50

Amount to be paid

= 5000 + 462.50

= 5462.50

Answer:

The height of the ramp is 1.39 m.

Step-by-step explanation:

We have,

A wheelchair ramp is 8.0 m long

The angle of inclination is 10°

It is required to find the rise of  the ramp.

Here, hypotenuse is 8 m and angle of inclination is 10°.

Using trigonometry to find it.

[tex]\sin\theta=\dfrac{x}{8}[/tex]

x is rise of the ramp

[tex]x=\sin(8)\times 10\\\\x=1.39\ m[/tex]

So, the height of the ramp is 1.39 m.

Answer:

Population size:11

Mean (μ): 6

Mean Absolute Deviation (MAD): 1.09

Answer:

The answer is -2.

Step-by-step explanation:

Answer:

-2 :D

Step-by-step explanation:

Just did the test:)

Answer:

The area of a parallelogram is 360 in.²

Step-by-step explanation:

Where DG = GH

GP = 12 in.

AB = 39 in.

∠DAB + ∠ABC = 180° (Adjacent angles of a parallelogram)

Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH

Therefore, ∠GAB + ∠HBA = 90°

Hence, ∠BPA = 90° (Sum of interior angles of a triangle)

[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{AP}{39} = \dfrac{GP}{GH} =\dfrac{12}{GH}[/tex]

We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)

∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)

Hence AD = DG (Side length of isosceles triangle)

The bisector of ∠ADG is parallel to BH and will bisect AG at point Q

Hence ΔDAQ  ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP

Hence, AP = 3 × GP = 3 × 12 = 36

[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}[/tex]

[tex]\angle GAB = cos^{-1} \left (\dfrac{36}{39} \right )[/tex]

∠GAB = 22.62°

[tex]cos(\angle GAB) = \dfrac{36}{39} = \dfrac{12}{GH}[/tex]

[tex]GH = \dfrac{39}{36} \times {12}[/tex]

GH = 13 in.

∴ AD 13 in.

BP = 39 × sin(22.62°) = 15 in.

GH = √(GP² + HP²)

∠DAB = 2 × 22.62° = 45.24°

The height of the parallelogram = AD × sin(∠DAB) =  13 × sin(45.24°)

The height of the parallelogram = 120/13 =  9.23 in.

The area of a parallelogram = Base × Height = (120/13) × 39 = 360 in.²

Answer:

360 in2

Step-by-step explanation:

The figure ABCD is a parallelogram, so the side AB is parallel to the side DC, and that means the angle mBAG is equal the angle mHGP.

The angles mHGP and mAGD are vertically opposite angles, so mHGP = mAGD.

The angle mDAG is equal the angle mBAG, so mDAG = mBAG = mHGP = mAGD

The angles mDAG and mAGD are equal, so the triangle DAG is isosceles, that means the side DG is equal the side DA.

In the same way, we can find that the angle mCBH is equal the angle mBHC, so triangle BCH is isosceles, meaning that side BC (which is equal side AD) is equal side CH, so we have that:

DG + GH + HC = AB = 39

GH + GH + GH = 39

GH = 13

in the parallelogram we have the property:

mDAB + mABC = 180°

We have that mGAB = mDAB/2 and mABH = mABC/2, so using this information for the sum of internal angles of triangle APB, we have:

mGAB + mABH + mBPA = 180

mDAB/2 + mABC/2 + mBPA = 180

(180/2) + mBPA = 180

mBPA = 90°

If the triangle APB is a right triangle, we can find the cosine of the angle mHGP:

cos(mHGP) = GP / GH = 12 / 13

Then, we can find the sine of mHGP using:

sin(mHGP)^2 + cos(mHGP)^2 = 1

sin(mHGP)^2 + 144/169 = 1

sin(mHGP)^2 = 25/169

sin(mHGP) = 5/13

If we draw the height of the triangle GPH relative to the side GH, we have:

sin(mHGP) = height / GP

5 / 13 = height / 12

height = 60/13

The triangles GPH and APB are similar (using the case angle-angle), so we can use this relation to find the height 'h2' of the triangle APB:

height / (h2+height) = GH / AB

(60/13) / (h2 + (60/13)) = 13/39 = 1/3

180 / 13 = h2 + (60/13)

h2 = 120/13

Then the area of the parallelogram is:

Area = AB * h2 = 39 * 120/13 = 360 in2

Answer:

D. x - y = 3 and x - 3 y = - 9

Step-by-step explanation:

The descriptions above describe the equation of choice D, so I pick this answer.

Answer:

D

Step-by-step explanation:

just took the test

Answer:

5.75 cm²

Step-by-step explanation:

→ Utilise the area of a triangle formula

Area of a triangle = 0.5 × Base × Height

→ Identify base and height in the triangle

Base = 4.6 cm

Height = 2.5 cm

→ Substitute in the values into the area of a triangle formula

Area of a triangle = 0.5 × 4.6 × 2.5

→ Simplify

Area of a triangle = 5.75 cm²

Area of a triangle = 1/2 x base x height

= 1/2 x 4.6 x 2.5

= 5.75 sq. cm

Answer:

3 people

Step-by-step explanation:

3 people as per picture

Answer:

3 people's are on both the golf team and the swim team

Answer:

Composition:   [tex]f(x)\,^o\,h(x)=4\,\sqrt{x+4} -1[/tex]

Domain = { [tex]x\,/\,x\geq \,-4[/tex]  }

Step-by-step explanation:

Given

[tex]f(x)=4\,x-1\,\,\, and \,\,\, h(x)=\sqrt{x+4}[/tex]

The requested composition becomes:

[tex]f(x)\,^o\,h(x)=f(h(x))\\f(x)\,^o\,h(x)=f(\sqrt{x+4} )\\f(x)\,^o\,h(x)=4\,\sqrt{x+4} -1[/tex]

Then the Domain consists of all Real x-values for which the function is defined. In this case, the function is defined for all x-values for which the square root is defined, that is all x values for which:

[tex]x+4\geq \,0[/tex]  (so the square root is defined in the Real number system)

This means [tex]x\geq \,-4[/tex]

The Domain is then all the Real x-values such that [tex]x\geq \,-4[/tex]

Answer: B: 2

Step-by-step Explanation

Answer:

C, 8

Step-by-step explanation:

I took the test on edge 2021

Answer:

Part A = 2

Part B = I'm unsure, sorry.

Step-by-step explanation:

Answer:

Part A= 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is A

BECAUSE the fixed charged or the charged that is always there is 25 dollars plus and additional cost for 10 dollars per person plus additional cost depending on how many hours u stay past 10 am

Answer:

4.19 ft ^3 or A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

option a is correct ✔✔✔

Answer:

The length of the radius is 3cm.

Step-by-step explanation:

Given that a circle is inscribed in a square. The side of the circle touches the side of the square which is the diameter. So the diameter of circle is 6cm, in order to find it's radius, you have to duvide it by 2 :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 6 \div 2[/tex]

[tex]radius = 3cm[/tex]

Answer:

[tex]6^{2} - 3^{2} \pi[/tex] = area of the black  7.725666

[tex]x^{2} - r^{2} \pi[/tex]

area of square - area of circle

the diameter of the circle is 6 and half that is the radius = 3

Answer:

x - 2

Step-by-step explanation:

Rewrite this symbolically:  "Double a​ number, minus the sum of the number and two"

Let x represent the unknown number.

Then:           2x - (x + 2), or 2x - x - 2, or x - 2

Answer:

If I'm guessing, you're supposed to write an equation. So the answer would be yx + 12y.

Step-by-step explanation:

Answer:

the answer is y(12-x)

Step-by-step explanation:

i took the text and it said i got it right hope i helped have a great day/night and so soorry if i get it wrong byee

Answer:

250°

Step-by-step explanation:

The bearing of N from M is 70° + 180° = 250°

Answer:

Step-by-step explanation:

First, you distribute the 4 and 7 to the stuff inside the parentheses 28 - 12x = 28 - 14x then add 28 to both sides -12x = -14x then add 14x to both sides 2x = 0 then divide both sides by 2 x = 0

Answer:

x=0

Step-by-step explanation:

4(7-3x)=7(4-2x)

Distribute

28 -12x = 28 -14x

Subtract 28 from each side

-12x = -14x

Add 14x to each side

-12x+14x = -14x+14x

2x=0

x =0

Answer:

[tex]y=4x^2+12x+9[/tex]

Step-by-step explanation:

Perform the square of the binomial, combine like terms, and then write the remaining expression in decreasing order of powers of x:

[tex]y=(2x+3)^2\\y=(2x+3)\,(2x+3)\\y=4x^2+6x+6x+9\\y=4x^2+12x+9[/tex]