If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ

Answer:

Step-by-step explanation:

[tex]AB=\sqrt{(6-0)^2+(5-8)^2}=\sqrt{36+9}=\sqrt{45}=3\sqrt5\\\\BC=|-1-5|=|-6|=6\\\\CD=\sqrt{(-2-6)^2+(-4-(-1))^2}=\sqrt{64+9}=\sqrt{73}\\\\DE=\sqrt{(-5-(-2))^2+(3-(-4))^2}=\sqrt{9+49}=\sqrt{58}\\\\EA=\sqrt{(0-(-5))^2+(8-3)^2}=\sqrt{25+25}=\sqrt{25\cdot2}=5\sqrt2[/tex]

Step-by-step explanation:

3x + 1 = 5x

Bringing like terms on one side

1 = 5x - 3x

1 = 2x

1/2 = x

Answer:

x = 1/2

Step-by-step explanation:

Step 1: Write out equation

3x + 1 = 5x

Step 2: Subtract 3x on both sides

1 = 2x

Step 3: Divide both sides by 2

x = 1/2

Answer: 3*3 + 3*3 = 9 + 9 = 18

You would use trial and error for this type of problem. Often parenthesis are involved to change the order of operations, but no parenthesis are needed here.

Answer:

-2.5 = x

Step-by-step explanation:

-10 = 4x

the equation between 4 and x is multiplication

as our goal is to move the x on its separate side, we should divide each side by 4 to get rid of the bond between the 4 and the x

Therefore,

-10 = 4x

-10/4 = x

Simplify into decimal if needed

-2.5 = x

Hope that helped!!! k

Answer:

[tex]\Large \boxed{{x =- \frac{5}{2} }}[/tex]

Step-by-step explanation:

We need to isolate the [tex]x[/tex] variable on one side of the equation to find the value of [tex]x[/tex] that makes the equation true.

[tex]-10=4x[/tex]

Divide both sides of the equation by 4.

[tex]\displaystyle \frac{-10}{4} =\frac{4x}{4}[/tex]

Simplify the equation.

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

Answer:

X = 52

Step-by-step explanation:

X / 8   -   1 / 2  =  6

X / 2³  -  1 / 2  = 6

X + 4( -1)  /   2³  = 6

X - 4 = 48

X = 48 + 4

X = 52

Answer: I think the answer is -x^2+x-6

Step-by-step explanation: I think it's like this as it is in the image below. I hope it's right and helps you!

Answer:

72

Step-by-step explanation:

13-5=8^2

16/2=8

(8*8)+8

64+8

=72

Answer: [tex]72[/tex]

Subtract

[tex](13-5)^2\\=8^2[/tex]

Multiply

[tex]8^2=64\\8*8=64[/tex]

Divide

[tex]16/2=8[/tex]

Add

[tex]64+8=72[/tex]

Answer:

x and x+1

Step-by-step explanation:

x+4

x+1-2=x-1

So the quotient of the numbers is x+4/x-1

Answer:

The degree of this monomial is 2.

Step-by-step explanation:

This is because the degree of a monomial (or a polynomial, binomial) is equal to the degree (exponent) of the term in the monomial. In polynomials, it would be the degree of the term with the HIGHEST degree.

-1.75k^2

The exponent is two, so the degree is two.

Hope this helped!!!

Answer:

60 square feet

Step-by-step explanation:

area= length*width

a=5*12

a=60

Answer: 60 ft²

Step-by-step explanation: To find the area of the rectangular bedroom wall, we use the formula for the area of a rectangle, A = lw.

Since the length of the rectangle is 12 feet and the width of the rectangle

is 5 feet, we plug this information into the formula for length and width

and we have (12 ft)(5 ft) which simplifies to 60 ft².

So the area of the rectangular bedroom wall is 60 ft².

Answer:

(-2,1)

Step-by-step explanation:

Since this is an upwards opening parabola, the minimum point is at the vertex

We can find the x coordinate of the vertex by

y = 2x^2 +8x +9

where a=2  b =8 and c =9

x = -b/2a

x = -8/(2*2)

  = -8/4 = -2

The x coordinate is -2

Now substitute this in to find the y coordinate

y = 2(-2)^2 +8(-2)+9

  = 2*4 -16+9

  8-16+9

  =1

The vertex = (-2,1), which is the minimum point

Answer:

Step-by-step explanation:

y=2x²+8x+9

to find the minimum or maximum point x=-b/2a

x=-8/4=-2

y=2(-2)²+8(-2)+9

y=8-16+9

y=1

minimum point is (-2,-1)

Answer:

The answer is 8 kilometers.

Step-by-step explanation:

Let X be the total cost of the taxi fare and Y be the distance traveled. If the taxi fare costs $5, $2.5 for each kilometer, we can write an inequality such as

X = 2.5 x Y.

If the total amount of money for the ride is $20, when we put it into the inequality, 20 = 2.5 x Y

                 Y = 20 / 2.5 = 8.

For $20 you can ride for a maximum distance of 8 kilometers.

I hope this answer helps.

Answer:

Equation: 5+2.5d≤20

Kilometers: 6

Step-By-Step Explanation

Answer for Khan Academy and also correct for sure promise ;)

Answer:

Hey there!

5000000-1500000=3500000

3500000/15=$233333.33

Your answer should be $233333.33

Let me know if this helps :)

Answer:

hii

Step-by-step explanation:

how are you hope you are fine

Answer:

Step-by-step explanation:

Given,

Marked Price ( MP ) = Rs 25000

Vat percent = 13 %

Discount percent = 10 %

▪️Finding the discount amount

Discount amount = Discount % of MP

= 10 % of 25000

= Rs 2500

▪️Finding the Selling price

Selling price ( SP ) = MP - Discount amount

= Rs 25000 - Rs 2500

= Rs 22500

▪️Finding the Vat amount

Vat amount = Vat % of SP

= 13 % of 22500

= Rs 2925

▪️Finding the SP with VAT

SP with vat = SP + Vat amount

= Rs 22500 + Rs 2925

= Rs 25425

Hope I helped !

Best regards!!

Answer:

2. aa

Step-by-step explanation:

youre given all the angles so its proven to be similar by angle angle

Answer:

aa

Step-by-step explanation:

The two triangles have angles that are equal so we need to use the angles to prove similarity

We have all three angles that are equal

We only need two angles to use the AA postulate of similarity, which is if two angles are the same then the triangles are similar

Answer:

7) a = 65; b = 50

8) c = 125; d = 55; e = 52

9) f = 105

Step-by-step explanation:

7)

a = 65

b + 130 = 180

b = 50

8)

c = 125

d + 125 = 180

d = 55

e = 52

9)

(180 - f) + 32 + (180 - 107) = 180

180 - f + 32 + 180 - 107 = 180

-f + 285 = 180

-f = -105

f = 105

Answer:

a = 65, b = 50, c = 125, d = 55, e = 52, f = 105, g = 128, h = 40, j = 21, k = 71

Step-by-step explanation:

7. a = 65 degrees - (corresponding angles theorem)   b = 50 degrees - (because of same sided interior angles theorem you have to do 180 - 130)

8. c = 125 (corresponding angles theorem)  d = 55 (c & d are a linear pair so you have to do 180-125)     e = 52 (alternate interior angles theorem)

9. f = 105 (Because of alternate interior angles theorem the angle that is 32 degrees and the angle next to it is 107. Next subtract 32 from it, which will make it a 75 degree angle. Lastly to find f use same sided interior angles theorem, this means subtract 180-75)

10. h = 40 (because of vertical angles theorem the other angle in the triangle is 52 degrees. Now find add 88 + 52 = 140, then subtract it from 180)     g = 128 (same sided interior angles theorem)

11. j = 21 (First find the missing angle in the triangle. To do that add up all of the angles and then subtract it from 180. This makes the missing angle 39. Now subtract that from 60)

12. k = 71 (Since this is an isosceles triangle the 2 base angles will be congruent. Because of same sided interior angles theorem subtract 148 from 180, making it 32. We are trying to find the top angle of the triangle so add 32 + 110 = 142. Then subtract it from 180, 38. Now subtract 38 from 180, 142. Lastly divide it by 2, 71.)

If you want fractions that are similar to the two fractions you have:

Because the fractions are already in their simplest form, you can continue to multiply the numerator (top number) and the denominator (bottom number) by two (one whole), which is represented by 2/2.

1/6 = 2/12 = 4/24...

1/9 = 2/18 = 4/36...

If you want to have the same value for each fraction but have the same denominator:

(1/6)(9/9) = 9/54

(1/9)(6/6) = 6/54

Answer:

(7³ + 7³) cubic units

Step-by-step explanation:

The formula for the volume of a cube = (Side length)³

From the question, we are told that, we have two cubes

Cube 1 :

Side length = 7

Volume of cube 1 = 7³ cubic units

Cube 2

Cube 2 also has a side length of 7 as well

Volume cube 2 = 7³ cubic units

We are asked in the question to find the total volume of the cube and express as exponents

Total volume = Volume of cube 1 + Volume of cube 2

=( 7³ + 7³) cubic units

Answer:

Markdown price is $60.

Step-by-step explanation:

The discount offered on the cloths by the clothing shop = 75%

Since we know that the markdown price is the amount by which the original price is decreased. So, the markdown price can be calculated by multiplying the original price with a discount rate. Here, below is the calculation.

Markdown price = $80 × 75% = $60

Answer: B. 23.9 cm³

Step-by-step explanation:

V = AH

A (area of the triangle base): 6×3÷2=9cm²

H (height of the prism): 2.65 cm

------------------------

V =  AH

V =(9) (2.65)

V = (23.85)

V= 23.85cm²

 ≈23.9

Answer: B. 33.1

Step-by-step explanation:

Use sin to solve (opposite/hypotenuse)

let x= length of CV

sin(37)=x/55

x=55sin(37)

x≈33.1

Answer:

x = [tex]\frac{y-1}{4}[/tex]

Step-by-step explanation:

Given

y = 4x + 1 ( subtract 1 from both sides )

y - 1 = 4x ( divide both sides by 4 )

[tex]\frac{y-1}{4}[/tex] = x

Answer:

0.09

Step-by-step explanation:

When you divide a number by 100, you move the decimal to the left 2 steps because there are two zeros.

Correct Question

30th term of AP 10, 7, 4 is​

Answer:

The 30th term is -77

Step-by-step explanation:

Required

Determine the 30th term of the given progression

First, we need to determine the common difference (d);

[tex]d = T_2 - T_1[/tex]

[tex]d = 7 - 10[/tex]

[tex]d = -3[/tex]

The nth term of an AP is calculated by

[tex]T_n = a+ (n -1) d[/tex]

In this case;

n = 30;

a = First term = 10

d = -2

Substitute these values in the given formula

[tex]T_{30} = 10+ (30 -1) * -3[/tex]

[tex]T_{30} = 10+ (29) * -3[/tex]

Open the bracket

[tex]T_{30} = 10-87[/tex]

[tex]T_{30} = -77[/tex]

Hence, the 30th term is -77

Answer:

104.8 in^2

Step-by-step explanation:

There are 2 ways to solve this problem.

The 1st way:

Let's make 2 triangles and 1 rectangle:

Rectangle Length = 8.3

Rectangle Width = 8

So, the left out length will be 17.9 - 8.3

=> 9.6

Since, 9.6 cm is for 2 parts.

=> 9.6 / 2

=> 4.8

So, Height of the Triangle = 8

      Base of the triangle = 4.8

Area of a rectangle

=> 8.3 x 8

=> 66.4

Area of the triangle

=> 1/2 x 8 x 4.8

=> 4 x 4.8

=> 19.2

There are 2 triangles:

=> 19.2 x 2

=> 38.4

=> 66.4 + 38.4

=> 104.8

The area of the trapezoid = 104.8 in^2.

The 2nd way is:

Area of a trapezoid

=> Smaller Base + Larger Base / 2 x Height

=> 8.3 + 17.9 / 2 x 8

=> 26.2 / 2 x 8

=> 13.1 x 8

=> 104.8

The area of the trapezoid is 104.8 in^2

Answer:

b

Step-by-step explanation:

The expression in terms of m and h is D = m/h if the expression is hD = m; the answer is D = m/h.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression is:

hD = m

To solve for D make the subject as D

As we know the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

Divide by h on both the sides:

hD/h = m/h

Here h ≠ 0

D = m/h

Thus, the expression in  terms of m and h is D = m/h if the expression is hD = m; the answer is D = m/h.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer:

21 students

Step-by-step explanation:

Let c = number of students in class

c* 2/7 = 6

Multiply each side by 7/2

c * 2/7 *7/2 = 6 *7/2

c = 21

There are 21 students in the class

Answer:

The correct option is;

C. 3.25 + 5.50·S ≤ 30

Step-by-step explanation:

The given parameters are;

The cost of the chocolate milk ordered = $3.25

The unit quantity of pancake sales = Stack

The number of pancakes in a stack = 4

The amount a stack of four pancakes is sold = $5.50

The number of pancakes Benjamin wants to buy = As many as he can

The number of stacks of pancakes Benjamin buys = S

The cost of the pancakes Benjamin buys = $5.5 × S

The cost of the number of pancakes Benjamin buys

The maximum amount Benjamin wants his bill to amount to = $30

Therefore we have;

The cost of chocolate milk ordered + The cost of pancakes Benjamin buys  ≤ $30

Which gives;

$3.25 + $5.50 × S  ≤ $30

Therefore, the correct option is 3.25 + 5.50·S ≤ 30.

Answer:

26 should be the median

Step-by-step explanation:

is what I got

Answer:

x = 5

Step-by-step explanation:

Simplify. First, combine like terms:

3x - x + 2 = 12

(3x - x) + 2 = 12

(2x) + 2 = 12

2x + 2 = 12

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

& is your order of operation.

First, subtract 2 from both sides:

2x + 2 (-2) = 12 (-2)

2x = 12 - 2

2x = 10

Next, divide 2 from both sides:

(2x)/2 = (10)/2

x = 10/2

x = 5

5 is your answer for x.

Check: Plug in 5 for x in the equation. Solve:

3(5) - (5) + 2 = 12

15 - 5 + 2 = 12

10 + 2 = 12

12 = 12 (True)

~

Answer:

x = 5

Step-by-step explanation:

Combining like terms, we get 2x = 10.  Dividing both sides by 2 yields

x = 5