which of the following descriptions represent the transformation shown in the image? Part 1b​

Answer:

y=5

Step-by-step explanation:

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

WY is the perpendicular bisector of XZ.

2x + 3 = 3x - 5

x = 8

5y - 2y = 7 + 8

y = 5

The value of y is 5

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

WY is the perpendicular bisector of XZ.

We see that,

2x + 3 = 3x - 5

3x - 2x = 3 + 5

x = 8

Now,

We have two right triangles.

∠WXY

WY² = WX² + XY² _____(1)

∠WYZ

WY² = WZ² + YZ² ______(2)

From (1) and (2) we get,

WX² + XY² = WZ² + YZ²

(2y + 7)² + (2x + 3)² = (5y - 8)² + (2x + 3)²

(2y + 7)²  = (5y - 8)²

2y + 7 = 5y - 8

5y - 2y = 7 + 8

3y = 15

y = 5

Thus,

The value of y is 5

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Answer:

[tex]x = \frac{k + c}{4}[/tex]

Step-by-step explanation:

Given:

[tex]4x - c = k[/tex]

Solve for:

[tex]x[/tex]

Solution:

(1) Let's move all of components that do not contain [tex]x[/tex] (our target) to the right side (notice the change of sign of [tex]c[/tex] from negative to positive):

[tex]4x = k + c[/tex]

(2) Let's divide both sides of equation by 4:

[tex]\frac{4x}{4} = \frac{k + c}{4}[/tex]

(3) Now, we simplify the left side:

[tex]x = \frac{k + c}{4}[/tex]

This is the solution.

Hope this helps!

:)

Answer:

34/45 pi

Step-by-step explanation:

To change from degrees to radians, multiply by pi/180

136 * pi/180

34/45 pi

Answer:

$4.34

Step-by-step explanation:

Given the information:

We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:

= the original price (100% - discount rate)

= 5(100% -20%)

= $4

= The actual price*tax rate

= $4*8.5%

= $0.34

=> the total cost of the bunch of balloons :

The actual price + tax price

= $4 + $0.34

= $4.34

Hope it will find you well.

Answer:

25 : 4

Step-by-step explanation:

Given 2 similar figures with ratio of sides = a : b , then

ratio of area = a² : b²

For the given figures the ratio of corresponding sides is

JK : EF = 20 : 8 = 5 : 2 , thus

ratio of areas = 5² : 2² = 25 : 4

Answer:

1. 200 cm

2. 2463.01 cm

3. 1275 cm

4. 346.67 cm

5. 1526.81 cm

Step-by-step explanation:

volume for square is l times w times h

volume for cylinder is pi times r times 2 times h

volume for square pyramid is a2h/3

volume for rectangular pyramid is l times w times h divided by 3

Answer:

I think the first step is to group all the addition first and then you do the subtraction.

Answer:

Remember PEMDAS; parenthesis, exponents, multiplication, division, addition and subtraction.

Step-by-step explanation:

so ti will be;

2+7+5-8+13

27-8

21

Answer:

-5/3 x (-1/8 )= 5/24 = 0.2083333

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

h(t)=−4.9t2+100t+325.

The independent variable is the one that we change

t which is in seconds

The dependent variable is the result

h(t) which is in meters

Answer: 0

I didn't see an 'x' so I was very confused but I simplified and got "0"

Answer:

C. x²+12x+36

Step-by-step explanation:

Since a square's area is figures out with [tex]length^{2}[/tex] and since the length is x+6, then we get:

(x+6)²=

(x+6)(x+6)=

Use FOIL method.

First: x²

Outer: 36

Inner: 6x

Last: 6x

x²+36+6x+6x=

x²+12x+36

The answer that fits is C. x²+12x+36.

Answer:

C. x²+12x+36

hope this helped

Answer:

Perimeter = 98 cm

Area = 596 [tex]cm^{2}[/tex]

Step-by-step explanation:

Please refer to the attached image for the resultant figure when a quadrant of circle with radius 7 cm is cut from a rectangle of sides 30 cm and 25 cm.

Perimeter of a figure = Sum of all its sides + Perimeter of circle

Quadrant of a circle is one fourth of a circle and there are 4 such quadrant of a circle, so eventually there is one complete circle in this figure.

The sides of this resultant figure = 30 - 14 = 16 cm

and 25 - 14 = 11 cm

So perimeter of this figure = 16 + 11 + 16 + 11 + Perimeter of circle

[tex]\Rightarrow 54 + 2 \pi r\\\Rightarrow 54 + 2 \times \dfrac{22}{7} \times 7\\\Rightarrow 54 + 44 = 98 cm[/tex]

To find area of this figure = Area of rectangle - Area of circle

Area of rectangle = Length [tex]\times[/tex] Width

[tex]\Rightarrow 30 \times 25 = 750\ cm^{2}[/tex]

Area of circle = [tex]\pi r^{2}[/tex]

[tex]\Rightarrow \dfrac{22}{7} \times 7^{2} = 154\ cm^{2}[/tex]

So, area of figure = 750 - 154 = 596 [tex]cm^{2}[/tex]

Answer:

2

Step-by-step explanation:

5 * 2/5

Rewriting

5/1 * 2/5

5/5 *2/1

1*2

2

Answer:

The answer is 2

Step-by-step explanation:

Answer:

35/70*100 = 50 miles

Step-by-step explanation:

[tex]answer = 1751\\ selling \: price = 1700 \\ tax \: percent = 3 \: percent \\ tax \: amount = tax \: percent \: of \: \: sp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \: percent \: of \: 1700 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 51 \\ \\ \: final \: cost = 1700 + 51 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1751 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

Step-by-step explanation:

Selling price

[tex]1700[/tex]

Tax percent

[tex]3\%[/tex]

Tax amount

[tex]1700 \times \frac{3}{100} \\ = 51 [/tex]

Final cost

[tex]1700 + 51 \\ = 1751[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

7

Step-by-step explanation:

3^2 = 9

(-4)^2 = 16

16-9= 7

Answer: $1133

Step-by-step explanation:

Programmer's pay for 51 weeks will be

(51 * 58916) / 52 = 57,783

Loss in salary

= 58916 - 57783 = 1133

Answer:

[tex] log_{4}( {x}) [/tex]

Step-by-step explanation:

[tex] log_{4}( {x}^{2} ) - log_{4}(x) \\ = log_{4} \bigg( \frac{ {x}^{2} }{x} \bigg )..(by \: quotient \: rule) \\ = log_{4}( {x}) \\ \\ \purple{ \boxed{ \bold{\therefore \: log_{4}( {x}^{2} ) - log_{4}(x) = log_{4}( {x}) }}}[/tex]

Answer:

  B' = (5, -4)

Step-by-step explanation:

The picture is illegible, but we think B is (1, 4).

After rotation 180°, both coordinates are negated, so the point is ...

  B" = -(1, 4) = (-1, -4)

After reflection across x=2, the x-coordinate is subtracted from 2·2 = 4:

  B' = (4 -(-1), -4)

  B' = (5, -4)

Answer:

I believe the answer is four there is twice as many horses so you would double the amount of original goats.

The number of goats that went with 6 pigs and 10 horses is; 4 goats.

Let the number of horses be h.

Let the number of pigs be p

Let the number of goats be g.

We are told that horses vary directly as goats.

Thus;

h ∝ g

Thus; h = k1g - --(eq 1)

Also, we are told that horses varies inversely as pigs squared.

Thus;

h ∝ 1/p²

h = k2/p² - - - (eq 2)

Where k1 and k2 are constant of proportionality.

When there are 5 horses there are 2 goats. Thus;

5 = 2k1

k1 = 5/2

k1 = 2.5

When there are 10 horses, we will have;

10 = 2.5g

g = 10/2.5

g = 4

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Answer:

CBA

Step-by-step explanation:

We can name the angle B

Or name the angle ABC

Or name the angle CBA

The vertex of the angle must be in the center

Answer:

The answer is CBA

Step-by-step explanation:

Answer:

144cm²

Step-by-step explanation:

Answer:

Pencils: 7 boxes

Erasers: 5 boxes

Step-by-step explanation:

She should buy 70 pencils and 70 erasers.

There are 7 pencil boxes for 70 pencils.

There are 5 eraser boxes for 70 erasers.

These are the smallest number of boxes she can buy without getting a fraction of a box.

Answer:

8%

Step-by-step explanation:

The Cost price is = 49.31

The Selling price is = 41.91

The profit is =-7.4

The percentage decrease of the price of the shirt is hence=

=41.31/49.31 * 100

= 8%

Hence, 8% is the percentage of the decrease of the price of the shirt.

Answer:

A, C, D, E

Step-by-step explanation:

sqrt(1.8)=1.34<1.8 (true)

sqrt(1.8)=1.34>1 (false)

sqrt(1.8)=1.34, sqrt(1.9)=1.38, 1.34<1.38 (true)

1.3<sqrt(1.8)=1.34<1.4 (true)

sqrt(1.9)+sqrt(1.8)=2.7>2 (true)

sqrt(1.9)-sqrt(1.8)=0.04>0.1 (false)

Answer:

a c d e

Step-by-step explanation:

don't come for me if it's wrong

Answer:

The length is 7 and the width is 4

Step-by-step explanation:

l = length

w = l-3

P =2( l+w)

22 = 2( l+ l-3)

Combine like terms

22 = 2(2l-3)

Divide each side by 2

22/2 = 2/2 (2l-3)

11 = 2l-3

Add 3 to each  side

11+3 = 2l-3+3

14 = 2l

Divide each side by 2

14/2 =2l/2

7 = l

Now find w

w = l-3

w = 7-3 = 4

Answer: length = 7 cm

Width = 4 cm

Step-by-step explanation:

Perimeter = 2 (l + w)

22 = 2 ( l + l-3)

22=2 (2l - 3)

22=4l - 6

22+6 = 4l

4l = 28/4

l = 28/1 = 7 = length

Width = 7-3 = 4

Answer:

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Step-by-step explanation:

Points:

Slope-intercept form:

slope is:

denominator of the fraction is zero, we can't divide by zero, so this line has no slope

----------

It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.

It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Answer:

D;

Step-by-step explanation:

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

[tex]answer \\ = (4.5 , 1.5) \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]

The answer is A.) 21x/^3y

Here is proof

Answer:

perimeter of ΔDEF  ≈ 32

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the steps below:

First, we will find the length of the side of the triangle DE and FF

To find the length DE, we will use the sine rule

[tex]\frac{sin E}{e} = \frac{sin F}{f}[/tex]

angle E  = 49 degrees

e= DF = 10

angle F = 42 degrees

f= DE =?

we can now insert the values into the formula

[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 42}{f}[/tex]

cross-multiply

f sin 49° = 10 sin 42°

Divide both-side by sin 49°

f = 10 sin 42° / sin 49°

f≈8.866

which implies DE ≈8.866

We will now proceed to find side EF

To do that we need to find angle D

angle D + angle E + angle F = 180°  (sum of interior angle)

angle D + 49° + 42° = 180°

angle D + 91° = 180°

angle D= 180° - 91°

angle D = 89°

Using the sine rule to find the side EF

[tex]\frac{sin E}{e} = \frac{sin D}{d}[/tex]

angle E = 49 degrees

e= DF = 10

ange D = 89 degrees

d= EF = ?

we can now proceed to insert the values into the formula

[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 89}{d}[/tex]

cross-multiply

d sin 49° = 10 sin 89°

divide both-side of the equation by sin 49°

d= 10 sin 89°/sin 49°

d≈13.248

This implies that length EF = 13.248

perimeter of ΔDEF = length DE + length EF + length DF

                                   =13.248   +  8.866  + 10

                                    =32.144

                                     ≈ 32 to the nearest whole number

perimeter of ΔDEF  ≈ 32