Simplify the expression by combining like terms: 6(4x) + 8(5y) - 21 + 63- 3(5x) - 12y + 18 - 7(3x)

Answer:

[tex]\angle 2 =60[/tex]

[tex]\angle 3 = 60[/tex]

[tex]\angle 4 = 120[/tex]

[tex]\angle 5 = 120[/tex]

[tex]\angle 6 = 60[/tex]

[tex]\angle 7 = 60[/tex]

[tex]\angle 8 = 120[/tex]

Step-by-step explanation:

Given

[tex]\angle 1 = 120^\circ[/tex]

See attachment

Required

Determine the other angles

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are on a straight line.

So;

[tex]\angle 1 + \angle 2 =180[/tex]

Make [tex]\angle 2[/tex] the subject

[tex]\angle 2 =180 - \angle 1[/tex]

[tex]\angle 2 =180 - 120[/tex]

[tex]\angle 2 =60[/tex]

[tex]\angle 1[/tex] , [tex]\angle 4[/tex],  [tex]\angle 5[/tex] and [tex]\angle 8[/tex] are corresponding angles.

So;

[tex]\angle 4 =\angle 1 = 120[/tex]

[tex]\angle 5 =\angle 1 = 120[/tex]

[tex]\angle 8 =\angle 1 = 120[/tex]

Similarly; [tex]\angle 2[/tex] , [tex]\angle 3[/tex],  [tex]\angle 6[/tex] and [tex]\angle 7[/tex] are corresponding angles.

So;

[tex]\angle 3 =\angle 2 = 60[/tex]

[tex]\angle 6 =\angle 2 = 60[/tex]

[tex]\angle 7 =\angle 2 = 60[/tex]

Answer:

It's 120 different ways I think

Step-by-step explanation:

Complete question :

Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.

a. Draw the girls’ rectangles, and label the lengths and widths of each.

b. What are the areas of the rectangles in square centimeters?

c. Compare the areas of the rectangles.

Answer:

Colleen = 41.667 cm²

Carolina = 166.667 cm²

Carolina's rectangle is larger Than Collen's

Step-by-step explanation:

To start with, we determine the total number of tiles used

3 Rows of 5 ; 3 in 5 places = 15

Length of collen's square tiles : 1 2/3 = 5/3

Area of collen's square tiles = square of side length, = (5/3)² = 25/9

Area of rectangle formed = area of square * number of tiles

(25 /9) * 15 = 41.667 cm²

Length of carolina's square tiles : 3 1/3 = 10/3

Area of collen's square tiles = square of side length, = (10/3)² = 100/9

Area of rectangle formed = Area of square * number of tiles

(100/9) * 15 = 166.667 cm²

Carolina's rectangle is larger Than Collen's

Answer: 0.5

Step-by-step explanation:

Given

There are 3 blue and 1 yellow marble

The chance of picking two marble out of 3 is [tex]^3C_2[/tex]

The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]

Therefore, the probability of picking 2 blue marbles

[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]

its c

Step-by-step explanation:

Answer:

A) The mean would increase

Step-by-step explanation:

Answer:

7 1/2 divided by 3/4 is 10

Step-by-step explanation:

10

Brainiest please and thank you

Answer: 32/40

Step-by-step explanation:

Sin is Opp/Hyp

Sin A is 32/40

Answer:

x=40

Step-by-step explanation:

Reflections have to be equal to each other.

Therefore, the equation is going to be 3x-6=114. This is equal to 3x=114+6. This is equal to 3x=120. x=120/3. x=40. Therefore, x=40.

If this helps please mark as brainliest

Answer:

X=40   pls mark brainlist it would really help

Step-by-step explanation:

3x-6 must equal 114. So...

3x-6=114

+6      +6

3x=120

/3     /3

x=40

Answer:

1/8 + 1/2 = 5/8

Step-by-step explanation:

Total number of beads = 8

Number of green beads = 4

Number of yellow beads = 1

Fraction of green beads :

Number of green / total number of bead = 4 / 8 = 1/2

Fraction of yellow beads :

Number of yellow / total number of bead = 1 / 8

Number of green or yellow bead :

1/8 + 1/2 = (1 + 4) / 8 = 5/8

The number of different outfits is 1280

From the question, we have the following parameters that can be used in our computation:

8 pairs of pants, 6 t-shirts, 6 sweaters or hoodies, and 2 pairs of shoes

The number of different outfits is equal to the products of the count of each apparel.

This is represented as;

Different outfits = Pants * T-shirts * Sweaters or hoodies * Pairs of shoes

Substitute the known values in the above equation;

Different outfits = 4 x 8 x 8 x 5

Evaluate;

Different outfits = 1280

Hence, there are 1280 different outfits

Read more about combination at;

brainly.com/question/11732255

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(9/11)÷(5/6)

= 9/11×6/5

= 54/55

Answer:

1263.7032 feets

Step-by-step explanation:

Distance from Ferguson corporation to Springdale Town center ; let the distance = x

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 27 = x / 2000

0.5095254 * 2000 = x

1019.0508 feets

Distance from Springdale to Subway station, this is the hypotenuse :

Hypotenuse = √(1019.0508² + 2000²)

Hypotenuse = √5038464.7

Hypotenuse = 2244.6524 feets

Total distance walked from Ferguson to Springdale, then to Subway ;

(1019.0508 + 2244.6524) feets = 3263.7032 feets

Additional distance walked :

(3263.7032 feets - 2000 feets) = 1263.7032

In this exercise we have to calculate the distance knowing about the laws of a triangle, so we have to:

[tex]H=1263.7032 feets[/tex]

We can use the definition of tangent to calculate:

[tex]Tan\theta = opposite / Adjacent\\Tan 27 = X / 2000\\0.5095254 * 2000 = X\\=1019.0508 feets[/tex]

Now using the Pythagorean theorem we have:

[tex]H = \sqrt{(1019.0508^2 + 2000^2)}\\H = \sqrt{5038464.7}\\H = 2244.6524 feets\\(1019.0508 + 2244.6524) = 3263.7032 feets\\(3263.7032 feets - 2000 feets) = 1263.7032[/tex]

See more about triangles at brainly.com/question/2269348

Answer:

Center: (0, 0)

Vertices: (0, 6), (0, -6)

Foci:  (0, 3√5), (0, -3√5)

Asymptotes: y = 2x, y = -2x

Step-by-step explanation:

Answer:

a edge 2021

Step-by-step explanation:

Answer:

this is the answer please give brainliest

Answer:

A = 6

B = 5.5

Step-by-step explanation:

16/8 = 2 so just multiply by 2 for 3, and divide by 2 for 11

yes

Step-by-step explanation:

Answer:

[tex] {x}^{2} + 11x + 30[/tex]

Step-by-step explanation:

Area is length x width

The length is

[tex](x + 6)[/tex]

The width is

[tex](x + 5)[/tex]

Multiply both using FOIL Method

[tex](x + 6)(x + 5)[/tex]

[tex] {x}^{2} [/tex]

[tex]6 \times x = 6x[/tex]

[tex]5 \times x = 5x[/tex]

[tex]6 \times 5 = 30[/tex]

Write in standform form

[tex] {x}^{2} + 6x + 5x + 30[/tex]

[tex] {x}^{2} + 11x + 30[/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Expression is equivalent to 64y¹⁸ - 1000z⁶ : (4y⁶)³- (10z²)³

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

Step-by-step explanation:

what

Answer:

S=75.6

Step-by-step explanation:

[tex] \frac{1}{ 2} [/tex]

Answer:

one thing that I learned about slope is the rise over run and y2-y1 over x2-x1

Step-by-step explanation:

Answer:

That if 2 coordinate points are given we can use the formula of; [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] to find the slope passing through those points

Hope this helps!

Answer:

2.8 and a lot more number after that

Answer:

bro you need to look harder if its not on the internet then its nowhere

Step-by-step explanation:

The cost of a t-shirt is £3 and the cost of a hat is £2.

What is a linear equation?

When an equation contains one or more variables with exponents as 1 then such equations are linear equations.

For example, 3x+2y=9 and 4y=6. The first equation is a linear equation with two variables and the second equation is with the linear equation in one variable.

Let the cost of a t-shirt is £m and the cost of a hat is £n.

Formulate two linear equations using the given statements in the question.

[tex]2m+3n=12\,\,\, ...(1)\\5m+4n=23\,\,\, ...(2)[/tex]

Obtain the value of m from equation (1).

[tex]2m=12-3n\\m=\frac{12-3n}{2}[/tex]

Substitute the obtained value of m into equation (1) and find n.

[tex]5 \times(\frac{12-3n}{2})+4n=23\\ 60-15n+8n=46\\14=7n\\n=2[/tex]

Substitute the value of n into [tex]m=\frac{12-3n}{2}[/tex]and obtain the value of m.

[tex]m=\frac{12-3(2)}{2}\\=\frac{12-6}{2}\\ =\frac{6}{2}\\ =3[/tex]

Thus, the cost of a t-shirt is £3 and the cost of a hat is £2.

Learn more about linear equations at https://brainly.com/question/11897796

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Answer:

Step-by-step explanation:

According to intersecting chords theorem:

Find the value of YZ:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{21(2x - 6) = 30(x + 1)}[/tex]

[tex]\large\textsf{21(2x) + 21(-6) = 30(x) + 30(1)}[/tex]

[tex]\large\textsf{21(2x) = 42x}[/tex]

[tex]\large\textsf{21(-6) = -126}[/tex]

[tex]\large\textsf{30(x) = 30x}[/tex]

[tex]\large\textsf{30(1) = 30}[/tex]

[tex]\large\textsf{42x - 126 = 30x + 30}[/tex]

[tex]\large\text{Put ALL your LIKE TERMS TOGETHER}[/tex]

[tex]\large\text{NEW EQUATION: \textsf {42x - 30x = 126 + 30}}[/tex]

[tex]\large\textsf{42x - 30x = 12x}[/tex]

[tex]\large\textsf{126 + 30 = 156}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{12x = 156}}[/tex]

[tex]\large\text{DIVIDE 12 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{12x}{12}=\dfrac{156}{12}}[/tex]

[tex]\large\text{CANCEL out: } \mathsf{\dfrac{12}{12}}\large\text{ because that gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{156}{12}}\large\text{ because that helps you solve for your the given equation} \\\\\large\text{and your YZ result}[/tex]

[tex]\mathsf{\dfrac{156}{12}=\bf 13}[/tex]

[tex]\large\text{NEW and FINAL EQUATION: \textsf{30 + 1 + 13}}[/tex]

[tex]\large\textsf{30 + 1 + 13}[/tex]

[tex]\large\textsf{30 + 1 = \bf 31}[/tex]

[tex]\large\textsf{= 31 + 13}[/tex]

[tex]\large\textsf{= \bf 44}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf YZ = 44 }}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

Seperate the shape into two. 16x2=32cm². 12x11=132cm²

So altogether it would = 164cm²

Answer:

If you still need the answer it’s c

Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,

The factorization is the form

(x-a) (x-b) where a and b are the zeros

(x-3) (x-2)

Answer:

sales tax is $3.2 ans total is $43.2

Step-by-step explanation:

Answer:

I don't really get the answer choices but I can show you how I did my work using factor trees.

I put astericks(*these) around the prime #'s(what's in the circles).

      630

         ^

        2.*   315

                 ^

         5. *       63

                        ^

                     3.*   21

                              ^

                            7*.  3*

hope this helps!!