Square CDFG below contains several angles. Which pairs of angles in square CDFG are complementary? Select all that apply. С C D 27° 63° | М 64° 26° G F UL Angles DCM and MCG Angles MGF and MGC Angles FGM and MCD Angles DCM and DMC​

Answer:

19.2cm

Step-by-step explanation:

You can solve with a proportion because all sheets of paper are the same thickness

[tex] \frac{500}{8} = \frac{1200}{x} [/tex]

[tex]x = \frac{1200 \times 8}{500} [/tex]

x = 19.2cm

Answer:

The width of the lid is 15 cm

Step-by-step explanation:

The Perimeter of a Rectangle

Given a rectangle of width W and height H, the perimeter is calculated as:

P = 2(W + L)

Jon used 56 cm of ribbon to go around the edge of a rectangular lid. This means the perimeter is:

2(W + L) = 56

Dividing by 2:

W + L = 28

Since the lid was L=13 cm long, the width is:

W = 28 - 13 = 15

The width of the lid is 15 cm

Answer:

5x + 15

Step-by-step explanation:

3(2x + 5)-x

6x + 15 - x

5x + 15

Hope this Helps!!!

Answer:

y=2x-3

Step-by-step explanation:  

The slope-intercept form of the original equation would be y=3/8−x/2

Therefore, the slope of the perpendicular line would be m=2

Then, the y-intercept would be 7=(2)x(5)+a

A=-3

Answer:

y=2x+3

Answer:

12 yards

Step-by-step explanation:

you subtract negative 8 and 4 and it gives you twelve yards of the play

Answer:

3(5x-6)

Step-by-step explanation:

I hope this helps you out, let me know if you need to know how it's solved.

Answer:

15x-18

Step-by-step explanation:

[tex]6(4x-3)-9x\\24x-18-9x\\15x-18[/tex]

Answer: GCF- is 3x

Step-by-step explanation:

So first you will ignore the X.

You will then find the GCF of 3 and 12.

The calculated value of the gcf of 3x and 12x is 3x

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

Expressions = 3x and 12x

Expand both expressions

So, we have

3x = 3 * x

12x = 2 * 2 * 3 * x

Multiply the common factors

GCF = 3 * x

Evaluate

GCF = 3x

Hence, the gcf of 3x and 12x is 3x

Read more about GCF at

https://brainly.com/question/17067741

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Answer:

17 feets 3 inches

Step-by-step explanation:

Given :

Converting the parameters to inches only:

Recall:

1 feets = 12 inches

Man's height : 5 feets 9 inches = (12 *5) + 9 = 69 inches

Man's shadow : 3 feets 6 inches = (12 * 3) + 6 = 42 inches

Tree's shadow : 10 feets 6 inches = (12 * 10) + 6 = 126 inches

(Tree's height / tree's shadow) = (man's height / man's shadow)

Let tree's height = x

x / 126 = 69 / 42

Solve for x

42x = 126 * 69

42x = 8694

x = 8694 / 42

x = 207 inches

207 / 12 = 17 feets 3 inches

Answer:

17.25 ft

Step-by-step explanation:

The figure shows two triangles X Y Z and H R Q. Side X Y has a length of h units, side Y Z has a length of 10 feet 6 inches, angle Y is a right angle. Side H R has a length of 5 feet 9 inches, side R Q has a length of 3 feet 6 inches. Angle R is a right angle.

Let h be the height of the tree.

Convert all measurements to a single unit, inches, using the fact that 1 foot is equal to 12 inches.

ZY=(10⋅12) in.+6 in.

Simplify.

ZY=126 in.

QR=(3⋅12) in.+6 in.

Simplify.

QR=42 in.

HR=(5⋅12) in.+9 in.

Simplify.

HR=69 in.

ZX¯¯¯¯¯ and QH¯¯¯¯¯¯ are parallel because the rays of the Sun that form them are parallel. Therefore, the angles they form with the ground are congruent: ∠Z≅∠Q.  

∠Y≅∠R by the Right Angle Congruence Theorem.

Therefore, by the Angle-Angle Similarity △ZXY~△QHR.

Find XY. Set up a proportion with the lengths of the known sides and the unknown length (height of the tree).

ZY/QR = XY/HR

Substitute the values.

126/42=h/69

Cross multiply.

42h=69(126)

Simplify.

42h=8694

Divide both sides by 42.

h=207 in.

Therefore, the height of the tree is 207 in., or 17.25 ft.

Answer:

So the pattern is dividing in half

So 300, 150, 75

We have the first 3 terms

The 4th term: 37.5, 18.75,

So we get the 10th term: 0.58

Answer:

x=37 CD=20

Step-by-step explanation:

We know this becuase the two triangles are congruent.

Answer: 1.C 2.B

Step-by-step explanation:

Answer:

7.25 and 7.20

Step-by-step explanation:

I calculated and got it correct

Answer:

a) $14.45 b) 1.45x+1.2y

Step-by-step explanation:

5*1.45+6*1.2=14.45

Answer:

Step-by-step explanation:

y^2 -x^2=

y^2=9^2=81

x^2=2^2=4

81-4=77

6. yes, if line was originally in the top right quadrant you could lower y intercept so that it no longer goes through top right

Answer:

123 if your going to the nearest whole number

Step-by-step explanation:

Since

6 : 7 = X : 143

Then we know

6/7 = X/143

Multiplying both sides by 143 cancels on the right

143 × (6/7) = (X/143) × 143

143 × (6/7) = X

Then solving for X

X = 143 × (6/7)

X = 122.57142857143

Therefore

6 : 7 = 122.57142857143 : 143

Answer:

80m - (12+4) = x

Step-by-step explanation:

Hope this helps! I mean its self explanatory

Answer:

$38.75

Step-by-step explanation:

We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.

Answer:

40%

Step-by-step explanation:

$6.25/100=0.0625

$2.50/0.0625=40

so your wage increased by 40%

Answer:

69.282 m

Step-by-step explanation:

We can use the trigonometry of right triangles to solve this, since we are in the presence of a right triangle with acute angle 30 degrees, opposite side unknown (the vertical height of the cliff), and adjacent side equal to 120 m.

we use the tangent function to solve for the unknown, as shown below:

tan(30) = x/120

x = 120 * tan(30) = 69.282 m

Answer: for the first one it's the first picture and the second equation is the second picture

Step-by-step explanation: the pictures

the first one's coordinates are : (-0.4, -1)

the second one's coordinates are: (2,-6)

they are both dotted lines

Answer: B

Step-by-step explanation:

The equation [tex]y+2=\frac{3}{4} x-8[/tex] is not yet in slope-intercept form([tex]y=mx+b[/tex]).  Simply subtract 2 from both sides to turn the equation into slope intercept form as [tex]y=\frac{3}{4}x-10[/tex].  For a line to be perpendicular to another, it must have an opposite reciprocal slope.  A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa.  Thus, 3/4 would become 4/3.  The opposite reciprocal of 3/4 would be -4/3.

The slope of the line given is 3/4.  Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get: [tex]y=-\frac{4}{3} x+b[/tex].  Then, because the line passes through -12, 1, plug those values in for x and y, respectively.  

[tex]1=-\frac{4}{3}*-12+b[/tex]

[tex]1=16+b[/tex]

[tex]-15=b[/tex]

Thus, the equation of the line is [tex]y=-\frac{4}{3} x-15[/tex], or B.

Hope it helps :D

Answer:The answer is 360 cubic meter.

Step-by-step explanation:

Answer:

It's 360 cubic meter.

Step-by-step explanation:

Volume of rectangle=length*width*height

                                 =    9×8×5

                                 = 360m³

Answer:

Step-by-step explanation:

RS + ST = RT

6y + 3 + 4y + 7 = 60

6y + 4y + 3 + 7 = 60

       10y + 10   = 60

                  10y = 60 - 10

                 10y = 50

                    y = 50/10

y = 5

RS = 6*5 + 3 = 30 +3 = 33

ST = 4*5 + 7 = 20 + 7 = 27

Step-by-step explanation:

[Diagram in image attached]

RS + ST = RT

(6y +3) + (4y + 7) = 60

6y + 3 + 4y + 7 = 60

10y + 10 = 60

10y = 60 - 10

10y = 50

y = 50/10

y = 5

RS = 6y +3 = 6(5) + 3 = 30 + 3 = 33

ST = 4y +7 = 4(5) + 7 = 20 + 7 = 27

RT = 60

{RS + ST = RT

33 + 27 = 60}

HOPE THIS HELPS YOU

MARK AS BRAINLIEST

Answer:

7200

Step-by-step explanation:

Find the exponents first.

10^3 = 1000

10^2 = 100

So..

7 x 1000 + 2 x 100

Do the multiplication first (BEDMAS - Brackets Exponents Division Multiplication Addition Subtraction).

7000 + 200 = 7200

Answer:

I hope this helps sorry if I'm wrong

Answer:

y = 1x

Step-by-step explanation:

y

[tex]y \geqslant 1x + 2[/tex]

cancel out the +2 by using the opposite sign and add a 1 in front of the x

Answer:

2. i think. correct me if im wrong.

Answer: The answer is 2

Step-by-step explanation:

Answer: -64y^3x^12

Step-by-step explanation:

Answer:

The mean absolute deviation of the data set is 2.5

Step-by-step explanation:

We need to find mean absolute deviation of the data set:

10,8,10,6,6,2,10,4

First we will find mean of the given data set.

The formula used is: [tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}[/tex]

Sum of all data = 10+8+10+6+6+2+10+4 = 56

Number of data = 8

So, mean will be:

[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{56}{8}\\Mean=7[/tex]

Now, we will calculate the absolute difference between mean and each data value.

|10-7| = 3

|8-7| = 1

|10-7| = 3

|6-7| = |-1| = 1

|6-7| = |-1| = 1

|2-7| = |-5| = 5

|10-7| = 3

|4-7| = |-3| = 3

Now, we will find mean of 3,1,3,1,1,5,3,3

Sum of all data = 3+1+3+1+1+5+3+3 = 20

Number of data = 8

So, mean will be:

[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{20}{8}\\Mean=2.5[/tex]

So, the mean absolute deviation of the data set is 2.5