An angle measures 112º more than the measure of its supplementary angle. What is the
measure of each angle?

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{x = 4}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 8 - x = x - 4x}[/tex]

Collect like terms

⇒[tex] \sf{ - 8 - x = - 3x}[/tex]

Move 3x to left hand side and change it's sign

Similarly, move 8 to right hand side and change it's sign

⇒[tex] \sf{ - x + 3x = 8}[/tex]

Collect like terms

⇒[tex] \sf{2x = 8}[/tex]

Divide both sides of the equation by 2

⇒[tex] \sf{ \frac{2x}{2} = \frac{8}{2} }[/tex]

Calculate

⇒[tex] \sf{x = 4}[/tex]

Hope I helped!

Best regards!!

Answer:

The mistake she made was ; She didn't change the sign when subtracting -3/4 from both sides

She wrote 5/4+3/4 instead of 5/4-3/4

Step-by-step explanation:

Correct solution:

[tex] \frac{3}{4} + m = \frac{5}{4} [/tex]

Subtract-3/4 from both sides

[tex] \frac{3}{4} - \frac{3}{4} + m = \frac{5}{4} - \frac{3}{4} [/tex]

Simplify

[tex]m = \frac{5}{4} - \frac{3}{4} \\ m = \frac{1}{2} [/tex]

The mistake Angela made was when she subtracted -3/4 from both sides, she didn't change the sign and She wrote 5/4 + 3/4 instead of 5/4-3/4.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have given the expression as

⇒ 3/4 + m = 5/4

The mistake Angela made was when she subtracted -3/4 from both sides, she didn't change the sign.

She wrote 5/4 + 3/4 instead of 5/4-3/4

Here is the correct work :

Subtract 3/4 from both sides from the equation,

⇒ 3/4 + m - 3/4 = 5/4 - 3/4

⇒ m = (5 - 3)/4

⇒ m = 2/4

⇒ m = 1/2

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Answer:

m<ABC = 45

m<DBC = 34°

Step-by-step explanation:

Given:

m<ABD = 79°

m<ABC = (8x - 3)°

m<DBC = (5x + 4)°

Step 1: Generate an equation to find the value of x

m<ABC + m<DBC = m<ABD (angle addition postulate)

(8x - 3) + (5x + 4) = 79

Solve for x

8x - 3 + 5x + 4 = 79

13x + 1 = 79

Subtract 1 from both sides

13x + 1 - 1 = 79 - 1

13x = 78

Divide both sides by 13

x = 6

Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle

m<ABC = (8x - 3)°

m<ABC = 8(6) - 3 = 48 - 3 = 45°

m<DBC = (5x + 4)°

m<DBC = 5(6) + 4 = 30 + 4 = 34°

Answer:

Step-by-step explanation:equivalent expressions

The associative property allows us to change the grouping of the factors that are multiplied together to create an equivalent expression.

When the grouping of the addends is changed, the sum stays the same. The Associative Property of Multiplication states that when the grouping of the factors is changed, the product is the same. It is also called the Grouping Property of Multiplication. Always multiply the numbers inside the parentheses first.

The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.

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Answer:

  ∠CBD = 125°

Step-by-step explanation:

The angle sum theorem tells you that ...

  ∠ABC +∠CBD = ∠ABD

  8x -41° +9x +17° = 180° . . . . . . a "straight angle" has a measure of 180°

  17x -24° = 180° . . . simpify

  17x = 204° . . . . . . add 24°

  x = 12° . . . . . . . . . . divide by 17

Now the measures of the angles can be found from their expressions.

  ∠ABC = 8(12) -41° = 55°

  ∠CBD = 9(12) +17° = 125°

Fractions equivalent to 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18/ 10/20, 12/24, 14/28.

Just a couple of them above. Hope all of this helps you out

The fractions that are equivalent to 1/2 are:

2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18, 10/20.

The fractions that are equivalent to 1/2 are:

1/2 (itself)

2/4

3/6

4/8

5/10

6/12

7/14

8/16

9/18

10/20

and so on.

These fractions are equivalent to 1/2 because they represent the same value when simplified.

When the numerator and denominator are divided by their greatest common divisor, they result in the simplified fraction of 1/2.

For example, if we simplify 2/4, we divide both the numerator and denominator by 2, resulting in 1/2

Similarly, if we simplify 6/12, we divide both the numerator and denominator by 6, again resulting in 1/2. This pattern holds for all the listed fractions.

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Answer:

  11. HJ = 79; JK = 50

  12. HJ = 1; JK = 14

Step-by-step explanation:

The segment addition postulate tells you the total length is the sum of the segment lengths.

__

11. HJ + JK + HK

  (6x -5) +(4x -6) = 129

  10x = 140 . . . . add 11

  x = 14 . . . . . . . divide by 10

  6x -5 = 6(14) -5 = 79 = HJ

  4x -6 = 4(14) -6 = 50 = JK

__

12. HJ + JK = HK

  (4x -15) +(5x -6) = 15

  9x = 36 . . . . . add 21

  x = 4 . . . . . . . .divide by 9

  4(4) -15 = 1 = HJ

  5(4) -6 = 14 = JK

1/4^3= 0.015625

4^2/4^5= 0.015625

4^4/4^2= 16

4^-3= 0.015625

therefore the third one is the one that u are looking for

4^4/4^2= 16

All of the expressions are equal except the third expression i.e., 4^4 / 4^2.

Some expressions are given in the question.

We have to find out which expression is not equal to the other expressions.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.

As per the question ;

Let's check the value of given expressions by simplifying them.

a )

(1/4)³

= [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4}[/tex]

= [tex]\frac{1}{64}[/tex]

= 0.015625

b)

4² / [tex]4^{5}[/tex]

= [tex]\frac{16}{1024}[/tex]

= [tex]\frac{1}{64}[/tex]

= 0.015625

c)

[tex]4^{4}[/tex] / 4²

= [tex]\frac{256}{16}[/tex]

= 16

d)

[tex]4^{-3}[/tex]

= [tex]\frac{1}{64}[/tex]

= 0.015625

So , all values are equal except 3rd value.

Thus , all of the expressions are equal except the third expression i.e., 4^4 / 4^2.

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Answer:

I believe the answer is function

Step-by-step explanation:

Answer: 12

Step-by-step explanation: 7+5

Answer: P= 2{(12x+7) + (9x+11)} or 42x + 36

Step-by-step explanation:

The formula for the perimeter of a rectangle is P=2(l+w)

P= 2{(12x+7) + (9x+11)}

Simplified to 42x + 36

Answer:

(-3,-2)

Step-by-step explanation:

Starting at the point (1, 0)

Now we move don 2 units (so the y-value reduces in two units) making now the point (1,0-2)  which is (1, -2)

then we move to the left 4 units (so the x-value has now to be decreased in 4 units) making the point: (1-4, -2) which is (-3, -2)

Answer:

It would be -2,4.

Step-by-step explanation:

you start at (1,0) and go down 2 to -2 then left 4 you would land on -2,4

Answer: c

First you organize the numbers into order then you find the middle of both. The middle of Williams was 89. Then you do the same for Andres and you get 82. To get the difference of them both you have to subtract both of them to get 7 and that’s c.

Answer:

[tex]\huge\boxed{TS = 10.5}[/tex]

Step-by-step explanation:

Given that:

R is a point lying on line TS

So,

TS = TR + RS

Where TR = 4.5 and RS = 6

=> TS = 4.5 + 6

=> TS = 10.5

'dz' because d and z are different values.

Answer:

t-t

Step-by-step explanation:

Answer:

x=2

AB=8

BC=8

AC=16

Step-by-step explanation:

7x-6=12-2x

7x+2x=12+6

9x=18

x=2

AB=7x-6=7(2)-6=14-6=8

BC=12-2x-12-2(2)=12-4=9

AC=8+8=16

Answer:

Step-by-step explanation:

20x - 26 = 8x + 1

12x - 26 = 1

12x = 27

x = 27/12 = 2 3/12 = 2 1/4 = 2.25

8(2.25) + 1 + 20(2.25) - 26

18 + 1 + 45 - 26

19 + 45 - 26

64 - 26 = 38 = rs

The value of rs is 38 for the given expression.

"A balanced equation is an equation where both sides are equal to the same amount. The answer to the expression on the left side of the equals sign (=) should be equal to the value on the right side of the equals sign".

For the given situation,

The two equations are

qr=8x+1  and

qs=20x-26

On equating these two equations,

[tex]8x+1=20x-26[/tex]

⇒ [tex]12x=27[/tex]

⇒ [tex]x = 2.25[/tex]

To find rs, we need to add both equations.

[tex]rs=8x+1+20x-26[/tex]

⇒ [tex]rs=8(2.25)+1+20(2.25)-26[/tex]

⇒ [tex]rs=38[/tex]

Hence we can conclude that the value of rs is 38.

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Answer:

660cm^3

Step-by-step explanation:

to find the volume of a square with surface area, you multiply the base by the height. So the base is 66 and the height is 10(because 40/4=10). Then 66x10=660. So 660cm^3 would be your answer. Hope that helps!

Answer:

36 cm³

≈ 35.85 cm³

Step-by-step explanation:

Let side of the base be x and height be y

Then we have equatins for total surface area and total side length:

Substituting y in the first equation:

Solving the quadratic equation we get roots of:

For x = 3, the value of y:

For x = 11/3, the value of y:

Based on the found values we get 2 possible volumes:

Answer:

S(0, 2)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Step 1: Plug in known variables

5 = (10 + x)/2

-8 = (18 + y)/2

Step 2: Solve

10 = 10 + x

x = 0

-16 = 18 + y

y = 2

Step 3: Write coordinates

(0, 2)

Answer:

55°

Step-by-step explanation:

What we have are vertical angles. Vertical angles are angles directly opposite to one another.

Importantly, the measures of vertical angles are equivalent. Thus, set the expressions to each other and solve for x:

[tex]3x+34=7x+6[/tex]

Subtract 3x from both sides:

[tex]34=4x+6[/tex]

Subtract 6 from both sides:

[tex]28=4x[/tex]

Divide everything by 4:

[tex]7=x[/tex]

Flip:

[tex]x=7[/tex]

Now, substitute this back into either of the equations since we know they are the same:

[tex]3x+34\\=3(7)+34[/tex]

Multiply:

[tex]=21+34[/tex]

Add:

[tex]=55[/tex]

So, the angle is 55°

Answer:

see below

Step-by-step explanation:

5x - 6y = 17

5x - 17 - 6y = 0

5x - 17 = 6y

y = [tex]\frac{5x - 17}{6}[/tex]

Answer:

Hey there!

Original Equation: 5x-6y=17

Subtract 5x: -6y=17-5x

Multiply by -1: 6y=5x-17

Divide by 6: y= [tex]\frac{5x-17}{6}[/tex].

Let me know if this helps :)

Answer:

Option D. 3/4

Step-by-step explanation:

From the question given above, we obtained the following information:

Block with letter = 3

Block with symbol = 1

Total = 4

Thus,

Sample space (S) = 4

Event of block with letter (nBl) = 3

Event of block with symbol (nBs) = 1

Finally, we shall obtain the probability of picking a block with letter as follow:

Sample space (S) = 4

Event of block with letter (nBl) = 3

Probability of picking a block with letter, P(Bl) =?

P(Bl) = nBl/nS

P(Bl) = 3/4

Therefore, the probability of picking a block with letter is 3/4.

Answer:

The ratio is  2:1

Step-by-step explanation:

black : yellow

4                  2

Divide each side by 2

4/2                2/2

2                    1

Answer:

The number is:

1

Step-by-step explanation:

3(7+a) = 24

3*7 + 3*a = 24

21 + 3a = 24

3a = 24 - 21

3a = 3

a = 3/3

a = 1

Answer:

[tex]\large\boxed{x^{36}}[/tex]

Step-by-step explanation:

Consider the properties:

[tex]\boxed{(x^a)^b=x^{a\cdot b}}[/tex]

[tex]\boxed{x^a \cdot x^b=x^{a+b}}[/tex]

[tex]\therefore (x^3)^6 \cdot (x^2)^9= x^{18} \cdot x^{18}= x^{36}[/tex]

Answer is 36

(x3)6 * (x2)9

x3*6x2*9

(28/4)*5-6+42

35-6+42

77-6

71

final answer is 71

first bracket one should be done then multily than addition and subraction.like this you get correct answer.

Answer:

  the number is 3

Step-by-step explanation:

Perhaps you'd like to find the number.

If n represents the number, we can write the relationship as ...

  3n -1 = n +5

Adding 1-n to both sides gives ...

  2n = 6

  n = 3 . . . . divide by 2

The number is 3.

_____

Check

The product of the number and 3 is 9. One less is 8. That is 5 more than the number itself: 8 = 3 + 5.

Answer:

C

Step-by-step explanation:

Mean is all the numbers divided by the amount of numbers listed and Median is what ever number is in the middle (when in order of value). when there's not a exact middle number u add the two numbers in the middle and divide it by two