Consider the figure below. If ∆ABC is translated using the vector (x, y)→(x−3, y+3), then rotated 180° about the origin, what will be the x-coordinate of C’ ?

Answer:

-1/7

Step-by-step explanation:

The inverse of 7 is simply the opposite

Answer:

Step-by-step explanation:

(m-8)^2 × n

= (10-8)^2 × 2

= (2)^2 × 2

= 4 × 2

= 8

Answer:

thats only 25

Step-by-step explanation:

Let x be the number equal to 0.124₅, so that

x = 1•5⁻¹ + 2•5⁻² + 4•5⁻³

Multiply x by 5³ to convert it to a whole number:

5³x = 1•5² + 2•5¹ + 4•5⁰

Convert everything to base 2:

5³ = 125 = 64 + 32 + 16 + 8 + 4 + 1 = 1111101₂

1•5² + 2•5¹ + 4•5⁰ = 25 + 10 + 4 = 39 = 32 + 4 + 1 = 100111₂

Then

1111101₂ x = 100111₂

so that

x = 100111₂ / 1111101₂

I've carried out the first several steps in the division in the attached table, with more bits added to the result. The number in base 2 does not terminate. You end up with approximately

0.010011111101111100111...₂

Merry Late Christmas and Happy early New Years !!! Hope you stay safe and healthy during these times :))

Answer:

need a thanks

Step-by-step explanation:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A = 1 2 b h is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

The total surface area of the triangular prism is 240 m².

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The total surface area of a triangular prism.

= Perimeter x length + base x height

= (6 + 6 + 8) x 10 + 8 x 5

= 20 x 10 + 40

= 200 + 40

= 240 m²

Thus,

The total surface area is 240 m².

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Answer:

gₙ = gₙ₋₁ + 0.4, with g₁ = 6.4

Step-by-step explanation:

The n-th term of an arithmetic sequence can be written as:

gₙ = g₁ + (n - 1)*d

Where g₁ is the first value, and d is the difference between any two consecutive terms of this sequence.

Then we have the equations:

g₅ = 8 = g₁ + (5 -1)*d

g₁₀ = 10 = g₁ + (10 - 1)*d

This is a system of equations, we can rewrite this as:

8 = g₁ + 4*d

10 = g₁ + 9*d

To solve this, the first step will be isolate one of the variables in one of the equations, i will isolate g₁ in the first equation:

g₁ = 8 - 4*d

Now we can replace this in the second equation to get:

10 = 8 - 4*d + 9*d

10 = 8 + 5*d

10 - 8 = 5*d

2 = 5*d

2/5 = d = 0.4

Now with this, we can find the value of g₁ by using the equation:

g1 = 8 - 4*d = 8 - 4*(2/5) = 8 - 8/5 = 6.4

Then the nth term of this sequence can be written as:

gₙ = 6.4 + (n - 1)*0.4

This relation also can be written as:

gₙ = gₙ₋₁ + d = gₙ₋₁ + 0.4, with g₁ = 6.4

Then the correct option is the second option.

Answer:

x axis - (18,0)

y axis - (0,12)

quadrant I - (4.5, 10.6)

quadrant II -(-15,21)

quadrant III - (-3/4, -4 1/9)

quadrant IV - (0,-7)

Step-by-step explanation:

Finding x:

We know that the diagonals of a rhombus bisect its angles

So, since US is a diagonal of the given rhombus:

∠RUS = ∠TUS

10x - 23 = 3x + 19                      [replacing the given values of the angles]

7x - 23 = 19                                [subtracting 3x from both sides]

7x = 42                                       [adding 23 on both sides]

x = 6                                           [dividing both sides by 7]

Finding ∠RUT:

We can see that:

∠RUT = ∠RUS + ∠TUS

Since we are given the values of ∠RUS and ∠TUS:

∠RUT = (10x - 23) + (3x + 19)

∠RUT = 13x - 4

We know that x = 6:

∠RUT = 13(6)-  4

∠RUT = 74°

Answer:

88

Step-by-step explanation:

Mean of five test = 85

Sum of five tests = 85*5 = 425

Mean of first three test =83

Sum of first three test = 83 * 3 = 249

Sum of 4th and 5th test scores = 425 - 249

                                                   = 176

Mean of his 4th and 5th test = 176/2 = 88

Answer: y=x+4

Step-by-step explanation:

if you need to find the y

we divide the equation by 4

x-y=-4

add y on both sides

y=x+4

Answer:

I don't really know what the question is but..

Step-by-step explanation:

Since total of 92 people in the trip including student and chaperon, add groups of 23 to become 92 or use this equation

(20+3)xy=92

23y=92

y=92/23

y=4

therefore,

20x4=80 (students)

3x4=12 (chaperons)

Answer:

15 chaperones

Step-by-step explanation:

1. Okay, First you're going to see how many times 20 can feet into 92. Which is 4.5 times. However, you cannot cut someone in half. So the answer would actually be 5. Then. Just do 5*3, because remember, there are THREE chaperones for every 20 students.

Answer:

C: a < θ < 90%

Step-by-step explanation:

Answer:

4 customers

Step-by-step explanation:

Given that:

Mean Arrival rate (λ) = 4 cars per hour

Service rate (u) = 5 cars per hour

Using the queuing formula :

The average number of cars in the system can be obtained using the relation :

Number of customers in the system (L)

Number of customers in queue = (Lq)

L = Lq + (λ/u)

Lq = λ^2 / u(u - λ)

Hence,

Lq = 4^2 / 5(5 - 4)

Lq = 16/ 5(1)

Lq = 16/ 5

Lq = 3.2

L = 3.2 + (4/5)

L = 3.2 + 0.8

L = 4

Answer:

A and E

Step-by-step explanation:

edge 2021

Answer:

Option A and E are the correct answers.

Answer:

SAS postulate.. is the answer

Answer:

18

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiply/Divide (from left to right)

Add/Subtract (from left to right)

Complete Question:

To rationalize the denominator of 2√10/3√11 , you should multiply the expression by which fraction?

Answer:

Multiply by [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex]

Required

To rationalize

To do this, we simply multiply the expression by the fraction of [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]

This gives:

[tex]\frac{2\sqrt{10}}{3\sqrt{11}} * \frac{\sqrt{11}}{\sqrt{11}}[/tex]

[tex]\frac{2\sqrt{10 * 11}}{3\sqrt{11 * 11}}[/tex]

[tex]\frac{2\sqrt{110}}{3\sqrt{121}}[/tex]

Express [tex]\sqrt{121[/tex] as 11

[tex]\frac{2\sqrt{110}}{3*11}[/tex]

[tex]\frac{2\sqrt{110}}{33}[/tex]

Hence:

[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex] = [tex]\frac{2\sqrt{110}}{33}[/tex]

Answer: The answer is m=300.

Step-by-step explanation: Step 1. Simplify the both sides of the equation:

[tex]\frac{-1}{15}m=-20[/tex].

And step 2. Multiply the both sides by [tex]\frac{15}{(-1)}:[/tex]

[tex](\frac{15}{-1})*(\frac{-1}{15}m)=(\frac{15}{-1})*(-20).[/tex] I hoped this is very helpful, please mark me as brainliest, and happy new year!! :D

Solving for the value of m in the given equation, m / -15 = -20, will give us: m = 300.

To solve for a variable in an equation, isolate the variable on one side of the equation by performing inverse operations (such as addition, subtraction, multiplication, or division) to both sides until the variable is left alone.

To solve for m in the equation m/-15 = -20, we can isolate m by multiplying both sides of the equation by -15 (the reciprocal of -1/15). This will cancel out the denominator on the left side and give us the value of m.

Step 1: Multiply both sides of the equation by -15:

(-15) * (m/-15) = (-15) * (-20)

Step 2: Simplify:

m = 300

Therefore, the value of m is 300.

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Answer:

744 cookies

Step-by-step explanation:

PLZ MARK BRAINLIEST ON THE TOP RIGHT CLICK THE CROWN.

Answer:

Xavier, Yeoman, and Zenger

Step-by-step explanation:

He spoke to them multiple times during the given time period while he only spoke to Osborn once.

Answer:

It's C! 75%

Step-by-step explanation:

Answer: 75%

Step-by-step explanation:

Just form the simple equation of 14/8=x/100

cross mulitply: 8x=1400

=> x=175

175-100(super important step)=75

75%

:) Tada your answer. Have a nice day

Answer:

Graph (6, 5) and (-6, -3), and then use a ruler (optional), and draw a line between them, and a little after the points.

Step-by-step explanation:

y = 2/3x + 1

Substitute different numbers for x, and find y:

You don't really want to work with fractions, so try to find a number that when multiplied by 2/3, gives you a whole number

x = 6

y = 2/3(6) + 1

y = 12/3 + 1

y = 4 + 1

y = 5

Point: (6, 5)

x = -6

y = 2/3(-6) + 1

y = -12/3 + 1

y = -4 + 1

y = -3

Point: (-6, -3)

Graph these two points, and then use a ruler (optional), and draw a line between them, and a little after the points.

Answer:

False

Step-by-step explanation:

Given

Polynomial: f(x)

Divisor: (x - 4)

Required

Determine the remainder

To determine the remainder, we have to equate x - 4 to 0

i.e.

[tex]x - 4 = 0[/tex]

Add 4 to both sides

[tex]x - 4+4 = 0+4[/tex]

[tex]x = 0+4[/tex]

[tex]x = 4[/tex]

Substitute 4 for x in f(x) to get the remainder.

So, f(x) becomes f(4)

The result of f(4) is the remainder f(x) when divided by x - 4

Hence, the statement is false.

Answer:

192.50

Step-by-step explanation:

500-340.50 = 192.50

159.5

Step-by-step explanation:

take 340.50 away from 500, you will have 159.50 left

Answer:

Yes because AB ⊥ BC

Step-by-step explanation:

Answer: Yes because AB ⊥ BC

Step-by-step explanation: Khan Academy

Answer:

135

Step-by-step explanation:

Supplementary means both angles equal 180 degrees when combined

180 - 45 = 135

Complementary means both equal 9 degrees when combined

if u think connect the lines of S and it makes and 8 for 180 and C makes 9 for 90

The measurement of the angle B should be considered as the 135 when the Angle A is given.

Since

Angle A and B are supplementary angles.

Angle A measures 45 degrees.

So we know that the sum of the supplementary angles is sum upto 180 degrees

So, it can be like

A + B = 180

45 + B = 180

B = 180 - 45

= 135 degrees

hence, The measurement of the angle B should be considered as the 135.

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