US
Find the value of x.
80
93
112
y
Z
x = [?]

Answer:

1).

A. Reflection across the y axis.

2).

A. Clockwise rotation about point B and a translation 20 units down.

The sequence of transformation that can be performed on quadrilateral

ABCD to show that is congruent to GHIJ is a B. 90 degree counter

clockwise rotation about point A  followed by a B. Reflection across the y-

axis and a translation 20 units down

Reasons:

The coordinates of the point (x, y) following a rotation of 90°

counterclockwise is the point (-y, x)

Taking point A as the origin

The coordinates of point A = (15, 10)

Coordinates of the points B, relative to the point A = (0, 10)

Coordinates of the points C, relative to the point A = (5, 5)

Coordinates of the points D, relative to the point A = (5, -5)

The location of the image of point B, following a rotation about the point A, is therefore;

B'(-10 + 15, 0 + 10) = B'(5, 10), C'(-5 + 15, 5 + 10) = C'(10, 15), D'(5 + 15, 5 + 10) = D'(20, 15)

The coordinates of the image of the point (x, y), following a reflection

across the y-axis is the point (-x, y). The coordinates of the parallelogram

A'B'C'D' following a reflection across the y-axis are the point B''(-5, 10),

C''(-10, 15), D''(-20, 15) A''(-15, 10). The coordinates of the quadrilateral GHIJ

are; G(-15, -10), H(-5, -10), I(-10 - 5), J(-20, -5)

The x-coordinates of the quadrilaterals A''B''C''D'', and GHIJ are the same,

therefore, we translate A''B''C''D'', 20 units down to get;

B'''(-5, -10), C'''(-10, -5), D'''(-20, -5) A'''(-15, -10)

Coordinates of A'''(-15, -10) = G(-15, -10)

Coordinates of B'''(-5, -10) = H(-5, -10)

Coordinates of C'''(-10, -5) = I(-10 - 5)

Coordinates of D'''(-20, -5) = J(-20, -5)

Therefore;

The sequence of transformation that can be performed on quadrilateral

ABCD to show that is congruent to GHIJ is a;

Followed by a;

Learn more here:

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(x+2) + x + (x+4) = 2(1/2) + 2(x+3)

They are equal to each other and the rectangle has 2x more perimeter

The triangle would be divided in half from that rectangle.

Answer:

5/15 is the probability of choosing a red marble from the box.

Step-by-step explanation:

We know that,

There are 5 red marbles and 10 green marbles in the box.

Divide the number of events by the number of possible outcomes. This will give us the probability.

P(red marble) = P(5)

Possible outcomes

5 red, 10 green -> 15 possibilities

Probability = [tex]\frac{5}{15}[/tex]

Please leave a 'thanks' if this helped!

The required probability of drawing a red marble the 6th time is 1/2.

Given that,

A box contains 10 red marbles and 10 green marbles.

Sampling at random from this box five times without replacement, you have drawn a red marble all five times.

Without replacing any of the marbles.

We have to determine,

What is the probability of drawing a red marble the 6th time?

According to the question,

There are 10 red marbles and 10 green marbles,

The initial condition is to the same state at every step, so the probability to get a red marble is the same in each sampling  and is equal to the ratio of the number of red marbles to the total number of samples.

Therefore,

The probability of drawing a red marble the 6th time is,

[tex]P = \dfrac{10}{10+10}\\\\P = \dfrac{10}{20}\\\\P = \dfrac{1}{2}[/tex]

Hence, The required probability of drawing a red marble the 6th time is 1/2.

To know more about Probability click the link given below.

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Answer:

The answer is f(x) = -sin(x) as you can see in the graph below

Step-by-step explanation:

Answer:

$3.60

Step-by-step explanation:

Convert the percentage to a decimal.

2% = 0.02

Multiply the cost of the dress by the decimal to find the sales tax.

$180 × 0.02 = $3.60

The sales tax $3.60.

Answer:

3.60

Step-by-step explanation:

sales tax = cost * tax rate

                = 180 * 2%

                 = 180 * .02

                 =3.60

Answer:

this. question is not clear please send clear question

We can conclude that -

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

We have the following two functions -

y = -x

AND

y = x

Refer to the graphs attached for both the functions -

y = - x     and     y = x

The graphs as seen pass through the origin. One graph (y = x) has a slope of +1 while the other one (y = - x) has a slope of -1. The y - intercept of both the graphs will be 0.

We can conclude that -

To solve more questions on straight line, visit the link below-

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#SPJ2

Answer:

(-9.6,2)

Step-by-step explanation:

hope i helped

pls can i get brainliest

-Zylynn

Answer:

366 minute

Step-by-step explanation:

first divide 15000 by 41 since there are 41 drops per minute and you get 365.85 so then you round it and get 366

Answer:

x=48

Step-by-step explanation:

The other angle is 66° because it's an isosceles triangle

so

180=66+66+x

180=132+x

x=48

Answer:

48 degrees

Step-by-step explanation:

Since the triangle is iscoceles because it has two sides with a length of 7, two angles will be 66 degrees and the missing angle will be the sum of total angles in a triangle minus the other two 66 degree angles. 180 - 66 - 66 = 48

Step-by-step explanation:

hope it will help you..........

Answer:

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent.

m∠MNP = 90° so we can use Pythagorean theorem:

[tex]MN^2+NP^2=MP^2\\\\MN^2+48^2=50^2\\\\MN^2+2304=2500\\\\MN^2=196\\\\MN=\sqrt{196}\\\\MN=14\,ft[/tex]

Answer:

258.47

Step-by-step explanation:

v=πr²h/3

=π4.2 ×14/3

=258.615

Answer:

x is 45 degrees

Step-by-step explanation: The corresponding angles theorem states that if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. In this case, the 45 degree angle and x are congruent, meaning that x is 45.

Answer:

45

Step-by-step explanation:

total frequency divided by no. of goals

30 ÷ 5

6

Answer:

x^2y^2(x+y)(x^2-xy+y^2)

Step-by-step explanation:

x^5y^2+x^2y^5

Factor out the greatest common factor

x^2y^2( x^3+y^3)

Apply the Sum of Cubes Formula x^3+y^3 =(x+y)(x^2-xy+y^2)

x^2y^2(x+y)(x^2-xy+y^2)

Answer:

The answer is

Step-by-step explanation:

[tex] {x}^{5} {y}^{2} + {x}^{2} {y}^{5} [/tex]

To factorize the expression first factor

x²y² out

We have

x²y²( x³ + y³)

Using the expression

Factorize the terms in the bracket

So we have

x³ + y³ = ( x + y)(x² - xy + y²)

Combine the expressions

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

First off:

multiply 1.7x103 and you get 175.1 then you multiply 2x103 and you get 206.

multiply 175.1x206 and you get 36070.6

Final answer is 36070.6

Answer:

36070.6

Step-by-step explanation:

Answer:

11√6

Step-by-step explanation:

5√6 +6√6 will equal to 11√6, because since √6 is the same, you just add the number on the outside

Answer:

$149.66

Step-by-step explanation:

Step 1

Calculate Total Amount payable to the bank using compound interest

Total Amount payable (A) =

P(1 + r/n)^nt

P = Principal = $2000

r = Interest rate = 9% = 0.09

n = compounding interest = quarterly = 4

t = time in years = 2

Total Amount payable

= 2000(1 + 0.09/4)^0.09 × 2

A = $ 2,389.66

Interest = A - Principal

= $ 2,389.66 - $ 2,000.00

I (interest) = $ 389.66

Step 2

Calculate the Total amount payable to his uncle using simple interest.

Total Amount (A) = P(1 + rt)

P = Principal = $2000

r = Interest rate = 6% = 0.06

t = time in years = 2

A = 2000(1 + 0.06 × 2)

A = $2,240

A - Principal

= $ 2,240 - $ 2,000.

I (interest) = $240

Step 3

The amount of money you will save by borrowing the money from your uncle is calculated as:

Amount payable to the bank - Amount payable to your uncle

= $ 2,389.66 - $2,240

= $149.66

Therefore, the amount of money you will save by borrowing the money from your uncle is $149.66

Answer:

2 should be distributed as 2y + 8; y = 4

Step-by-step explanation:

2(y + 4) = 4y

Distribute

2y + 8 = 4y

Step 2 is incorrect because the added instead of multiplied

Continuing on to correct the problem

Subtract 2y from each side

2y+8-2y = 4y-2y

8 = 2y

Divide by 2

8/2 = 2y/2

4 =y

Answer:

2 should be distributed as 2y + 8; y = 4

Step-by-step explanation:

Step 2 is wrong.

2(y + 4) = 4y

The step to solve is to expand brackets or distribute 2, not divide both sides by 2.

2y + 8 = 4y

Subtract both sides by 2y.

8 = 2y

Divide both sides by 2.

4 = y

Answer:

32 degrees

Step-by-step explanation:

The interior angles of a triangle always add up to 180.

Subtract the sum of 106 and 42 from 180.

180-(106+42)

180-(148)

32

x is equal to 32 degrees.

Answer:

1.8 pounds

Step-by-step explanation:

All you have to do is multiply 0.1 * 4, and then 0.1 * 14. Once you get the products, you can just add them together to get 1.8 pounds

Answer:

48.

Step-by-step explanation:

[tex]\frac{24\sqrt{72} }{3\sqrt{2} }[/tex]

= (24 / 3) * [tex]\frac{\sqrt{72}} {\sqrt{2} }[/tex]

= 8 * [tex]\frac{\sqrt{72} * \sqrt{2}} {\sqrt{2} * \sqrt{2} }[/tex]

= 8 * [tex]\frac{\sqrt{144}} {2}[/tex]

= 8 * (12 / 2)

= 8 * 6

= 48.

Hope this helps!

Answer:

the data is constructed around 6 and 1 is the outlier

Step-by-step explanation:

Answer:

[tex]y = - \frac{2}{5} x + 2[/tex]

Answer:

[tex] 162 cm^3 [/tex]

Step-by-step explanation:

Volume of a rectangular pyramid is given as = [tex] \frac{1}{3}lwh [/tex]

Where,

[tex] l = 9 cm [/tex]

[tex] w = 6 cm [/tex]

[tex] h = 9 cm [/tex]

Plug in the above values into the formula for volume of rectangular pyramid:

[tex] Volume = \frac{1}{3}*9*6*9 [/tex]

[tex] Volume = 3*6*9 [/tex]

[tex] Volume = 162 cm^3 [/tex]

Volume of the rectangular pyramid = [tex] 162 cm^3 [/tex]

Answer:

120

Step-by-step explanation:

Know that in a rotation, unless stated otherwise, it's always going clockwise. Knowing this, you'd only have to turn your triangle one time, and since its interior angles are 120 each, your answer is 120. Hope this helps!

Answer:

             i) TRUE

             ii) TRUE

             iii) TRUE

Step-by-step explanation:

[tex](ab+bc)(ab-bc)+(bc+ca)(bc-ca)+(ca+ab)(ca-ab)=\\\\=\underline{(ab)^2}-(bc)^2\ \,+\ \,(bc)^2-(ca)^2\ \,+\ \,(ca)^2-\,\underline{(ab)^2}=\\\\=0+0+0=0[/tex]

[tex](a+b+c)(a^2+b^2+c^2-ab-bc-ca)=\\\\=a^3\,\underline{\,+ab^2}\ \underline{\underline{+\,ac^2}}\,-a^2b\ -\,abc\ \underline{\underline{\underline{-\,a^2c}}}+a^2b+b^3+bc^2\,\underline{-\,ab^2}\ \underline{\underline{\underline{ \underline{-\,b^2c}}}}\,-\,abc+\\{}\qquad\qquad\qquad\qquad\qquad\qquad \qquad\qquad \underline{\underline{ \underline{+\,a^2c}}}\ \underline{\underline{\underline{\underline{+\,b^2c}}}}+c^3\,-\,abc-bc^2\ \underline{\underline{-c^2a}}=[/tex]

[tex]=a^3\ \underline{-\,a^2b}\ \underline{\underline{-\,abc}}\ \underline{+\,a^2b}+b^3\ \underline{\underline{\underline{+\,bc^2}}}\ \underline{\underline{-\,abc}}+c^3\ \underline{\underline{-\,abc}}\ \underline{\underline{\underline{-\,bc^2}}}=\\\\=a^3+b^3+c^3-3abc[/tex]

[tex](p-q)(p^2+pq+q^2)=\\\\=p^3\ \underline{+\,p^2q}\ \underline{\underline{+\,pq^2}}\ \underline{-\,p^2q}\ \underline{\underline{-\,pq^2}}-q^3=\\\\=p^3-q^3[/tex]

Answer:  see proofs below

Step-by-step explanation:

7i)  (ab + bc)(ab - bc) = a²b² - ab²c + ab²c - b²c²  →  a²b² - b²c²

  + (bc + ca)(bc - ca) = b²c² - abc² +abc² - a²c²   →             b²c²  - a²c²

  + (ca + ab)(ca - ab) = a²c² - a²bc + a²bc - a²b²  →                      a²c² - a²b²

                                                                             =   a²b² +  0   +   0   - a²b²

                                                                             = 0

7ii) a(a² + b² + c² - ab - bc - ca) = a³ + ab² + ac²           - a²b - abc - a²c

  + b(a² + b² + c² - ab - bc - ca) = b³ - ab²          + bc² + a²b - abc           - b²c

  + c(a² + b² + c² - ab - bc - ca) = c³           - ac² - bc²           - abc  + a²c + b²c

                                 =  a³ + b³ + c³  + 0     + 0   + 0     + 0   - 3abc + 0   + 0

                                  = a³ + b³ + c³ - 3abc

7iii) p(p² + pq + q²) = p³ + p²q + pq²

    -q(p² + pq + q²) =     - p²q  -  pq² - q³

                              = p³   + 0    + 0    - q³

                              = p³ - q³

Answer:

x^3/2 - 6x^1/2

Step-by-step explanation:

f(x) = x - 6

g(x) = x^1/2

g(x) * f(x) = x^1/2(x - 6)

g(x) * f(x) = x^3/2 - 6x^1/2

Answer:

2x^2+4x+11

Step-by-step explanation:

HERE YOU GO!!!!!!!!!!

Answer:

D

Step-by-step im not Shure but I think its D