Find the equation of the line shown.

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

Learn more about the Pythagorean theorem here:

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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:

144cm²

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3^2 = 9

(-4)^2 = 16

16-9= 7

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:

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:

  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:

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:

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:

x = -.4

Step-by-step explanation:

3x + 5.2 = 2 - 5x

Add 5x to each side

3x+5x + 5.2 = 2 - 5x+5x

8x +5.2 = 2

Subtract 5.2 from each side

8x +5.2 - 5.2 = 2-5.2

8x = -3.2

Divide each side by 8

8x/8 = -3.2/8

x = -.4

Answer:

x= -0.4

Step-by-step explanation:

3x+5.2=2-5x

Add 5x to both sides

8x+5.2=2

Subtract 5.2 from both sides

8x= -3.2

Divide both sides by 8

x= -0.4

I just realized my answer is really similar to Wegnerkolmp2741o so sorry if it seems like I'm copying them.

Answer:

The middle choice

Step-by-step explanation:

The first figure starts on the upper right corner and goes around from A to B to C to D.

So the smaller figure should do the same thing. It should start from the upper right (S) and go through T U V. Which it does.

Answer:

Determine whether each pair of polygons is similar

Step-by-step explanation:

Similar Polygons: 2 Polygons are similar if and only if their corresponding angles are congruent & Corresponding sides are proportional. hope this helps you :)

Answer:

C. left two units, up three, reflection on the x = -1

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:

34/45 pi

Step-by-step explanation:

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

136 * pi/180

34/45 pi

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

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: 0

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

Answer:

d) none of the above

Step-by-step explanation:

g is increasing in the intervals:

- 4.5<x<-3.5

and

-1<x<3.5

These are not covered in the answer options

options a) and c) are partially correct

Answer: d) none of the above

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:

35/70*100 = 50 miles

Step-by-step explanation:

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:

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

Step-by-step explanation:

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.

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:

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:

24

Step-by-step explanation:

whatever you add or divide to the numerator, you do to the denominator. the same occurs the other way round,too.

If 11 is multiplied by 6 to give 66.

then, 4 should also be multiplied by 6, for the equivalent fraction. This gives you 24.

Hope this helps. Good Luck

The missing number is 24.

please see the attached picture for full solution

Hope this helps..

Good luck on your assignment..

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

Here is proof

Answer:

ax - by = k

Step-by-step explanation:

A literal equation is an equation made up of variables representing numbers that can be changed

ax - by = k is a literal equation because there are no numbers

Letters stand for each item

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:

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