Simplify: 61 –60 ÷ 2 [57 –3{12 ÷ 6 + 4 (8 –15 ÷ 3)}]

Answer:

any file to have a reference?

Answer:

a. 65 degree

B. 25 degree

c. 25 degree

d. 75 degree

Step-by-step explanation:

shown in photo.

Mark me brain list if it help you

Answer:

a = 65°

b = 25°

c = 25°

d = 75°

Step-by-step explanation:

60 + a + 55 = 180 (Angles of a straight line)

a + 115 = 180

a = 180 - 115

a = 65°

a + b + 90 = 180 (Interior angles of a triangle add up to 180°)

65 + b + 90 = 180

b + 155 = 180

b = 180 - 155

b = 25°

b = c (Vertically opposite angles are equal)

c = 25°

d + 15 = 90 (Complementary angles)

d = 90 - 15

d = 75°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:16.3 ft

Step-by-step explanation:

The estimated value of the side length of the square rug is : 8.062 feets

Given that the area of the square rug = 65 ft²

Recall :

Area of a square = s²

Where, s = side length

Therefore,

Area of rug = s²

65 ft² = s²

65 = s²

Square both sides

√65 = s

8.062 = s

The estimated side length of the rug is 8.062 feets.

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Answer:

3x-5=2x+3-(x-4)

first deal with the bracket first. multiply -1 by x and -4.

3x-5=2x+3-x+4

group like terms that is sort them according to the letters.

3x+x-2x=3+4+5

4x-2x=12

2x=12.divide both sides by 2.

2x=12

2 2

x=6

Answer:

boys:girls:teachers

5      :    4        :1

Step-by-step explanation:

75 boys, 60 girls and 15 teachers

boys:girls:teachers

75     : 60  :15

Divide each  term by 15

75 /15 : 60/15  :15/15

5      :    4        :1

Answer:

A) 66

Step-by-step explanation:

I have no explanation to this but hope it's help

Answer:

a) 66 fluid ounces

Step-by-step explanation:

it's easy

all you have to do is multiply the amount of bottles Joy drinks in a day (in this case 4) with the amount of fluid ounces contained in each bottle she's drinking (in this case 16.5)

so in other words

4 x 16.5 = 66

Answer:

Since 35/7=5,  5x7=35.

So x=7.

9-7=5

5x=35

Answer:

see explanation

Step-by-step explanation:

Consider the left side

[tex]cos^{4}[/tex]A + [tex]sin^{4}[/tex]A - 2cos²Asin²A ← is the expansion of

= (cos²A - sin²A)²

Substitute sin²A = 1 - cos²A

= (cos²A - (1 - cos²A) )²

= (cos²A - 1 + cos²A)²

= (2cos²A - 1 )²

= right side , then proven

Answer:

Let X equal the remaining time she needs to practice.

You would have 2x

The combined total needs to be 6 hours or greater.

You need to add the amount she already practiced to 2x.

Now you have: three and one fourth + 2x

This needs to be greater than or equal to 6.

Ans:- three and one fourth + 2x ≥ 6

Less than 14 means

x < 14

Answer:

A. x < 14

Step-by-step explanation:

'<' = "less than"

'=' = "equal to"

'>' = "greater than"

Answer: B

Step-by-step explanation:

y-intercept of m is -6

y-intercept of n is 2

Since -6 < 2:

A: false

B: true

C: false

D: false

Answer:

c

Step-by-step explanation:

first term=1

common d=4

nth term=a+(n-1)d

7881=1+(n-1)4

7881=1+4n-4

7884=4n

n=1971

Starting with n = 0, the n-th term in the sequence is

4n + 1

so any number in the sequence must have a remainder of 1 when divided by 4.

We have

4551 = 1137×4 + 3

10091 = 2522×4 + 3

7881 = 1970×4 + 1

13351 = 3382×4 + 3

Answer:

10

Step-by-step explanation:

2+3=5

5+4=9

the blank in the circle must be more than 10

Answer:

since the distance from the outside edges is 26 1/2 feet, divide that by 2 to get the distance from the center to the edge ( 26 1/2 / 2 = 13 1/4 feet)

the stage is 76 feet so divide that by 2 to find the center 76/2 = 38 feet

now subtract the 13 1/4 from 38

38 - 13 1/4 = 24 3/4 feet from the side of the stage to the edge of the trap door

a little easier way would be to subtract the 26 1/2 from 76 and then divide by 2

76-26 1/2 = 49 1/2 / 2 = 24 3/4

Step-by-step explanation:

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Answer:

Shape A is congruent to shape D and has been translated 2 units to the right

Shape B is congruent to shape E and translated 1 unit to the left.

Step-by-step explanation:

Shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The shapes are given in the picture.

From the definition of congruency; congruent figures are those that are exactly the same size and shape. Congruent is represented by the symbol ≅.

Form A has been translated into two units to the right and is congruent with shape D.

Form B is translated one unit to the left and congruent to shape E.

Thus, shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.

Learn more about the geometric transformation here:

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Answer:

15.23

Step-by-step explanation:

the length of XY =√(5+9)²+(-4-2)²

=√14²+(-6)²

=√196+36

=√232

= 15.23

[tex]\\ \rm\longmapsto XY=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \rm\longmapsto XY=\sqrt{(5+9)^2+(-4-2)^2}[/tex]

[tex]\\ \rm\longmapsto XY=\sqrt{(14)^2+(-6)^2}[/tex]

[tex]\\ \rm\longmapsto XY=\sqrt{196+36}[/tex]

[tex]\\ \rm\longmapsto XY=\sqrt{232}[/tex]

[tex]\\ \rm\longmapsto XY=15.2[/tex]

Step-by-step explanation:

hope this may help you tq have a nice day

Answer:

-1 9/10

Step-by-step explanation:

-3/10q - 8/5q + 9 = 10

-3/10q - 16/10q + 9 = 10

-19/10q + 9 = 10

-19/10q = 1

-19 = 10q

-19/10 = 10q/10

-1  9/10 = q

Answer:

second option

Step-by-step explanation:

Pythagoras for right-angled triangles :

c² = a² + b²

c is the Hypotenuse, the line opposite of the 90 degree angle.

a and b are the other 2 sides.

the distance between 2 points is the Hypotenuse of a right-angled triangle of the coordinate differences in x and y.

so, we have (-2, -3) and (3, 2)

distance² = (x1 - x2)² + (y1 - y2)² = (-2 - 3)² + (-3 - 2)² =

= (-5)² + (-5)² = 25 + 25 = 2×25 = 50

distance = sqrt(50) = sqrt(2×25) = 5×sqrt(2)

Answer:

4 f(x)

Step-by-step explanation:

step by step explainantion is in picture below

Answer:

8x - 4x + 12 - 6x - 15 - 6

Combine like terms

-2x - 9

If your equation is equal to zero then continue down.

-2x - 9 = 0

-2x = 9

x = -9/2

  = -4  1/2

Answer:

- X + Y = -4  is the standard form

Y =1X  -4  is the  slope intercept form

Step-by-step explanation:

x1 y1  x2 y2

0 -4  5 1

(Y2-Y1) (1)-(-4)=   5  ΔY 5

(X2-X1) (5)-(0)=    5  ΔX 5

slope= 1          

B= -4          

Y =1X  -4    

Answer:

9.  38

10.  19

11.  91

12.  89

13.  110

14. 109

Step-by-step explanation:

A line (PT) is always a total of 180 degrees and QVR = RVS (given) so let x = QVR then

PVQ + QVR + RVS + SVT = 180

72 + x + x + 70 = 180

72 + 2x + 70 = 180

2x = 180 - 72 - 70

2x = 180 - 142

2x = 38

x = 19

so

9. QVS = QVR + RVS = 2x = 19 + 19 = 38

10. QVR = x = 19

11. PVR = PVQ + QVR = 72 + 19 = 91

12. TVR = TVS + SVR = 70 + 19 = 89

13. PVS = PVQ + QVR + RVS = 72 + 19 + 19 = 110

14. TVQ = TVS + SVR + RVQ = 70 + 19 + 19 = 109

Answer:

X = 57

3x-6 = 165

Step-by-step explanation:

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Answer:

3,3,3,37

Step-by-step explanation:

The greatest 3 digit number is 999

Answer:

There are only 1 ray because a ray only has 1 side that has a little tiny ball

Step-by-step explanation:

Step-by-step explanation:

24

^

2 12

^

2 6

^

3 3

^

3 1

Therefore its 2,2,3,3