If m∠4 = 101.9°, find each of the following in degrees.
(a) m∠5
(b) m∠8

Answer:

126

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

To isolate the variable (x) you would first write out x - 3 = 7. Now to make x on its own we have to get rid of the -3 so to do that we would add the reciprocal of -3 (or the opposite) which is +3. x - 3 + 3 = 7 + 3 or x = 10.

Answer:

0.25

Step-by-step explanation:

Bag 1 :

Number of marbles = 6

Number of Blue marbles = 3

Bag 2:

Number of marbles = 4

Number of Blue marbles = 2

Recall :

Probability = required outcome / Total possible outcomes

For Bag 1:

P(blue) = Number of Blue marbles / total marbles

P(blue) = 3 / 6 = 1/ 2

For Bag 2:

P(blue) = Number of Blue marbles / total marbles

P(blue) = 2 / 4 = 1/ 2

Probability of a picking a blue marble from each bag :

1/2 * 1/2 = 1/4 = 0.25

Answer:

56888

Step-by-step explanation:

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Answer: 63

Step-by-step explanation:

3(-3)^2 + 2(6)^2 (multiply 3 times -3) & (multiply 2 times 6)

-9^2+12^2 (-9 to the 2nd power and 12 to the 2nd power)

-81+144 (add them up)

=63

The value of the expression is 3a² + 2b² is 69.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

Expression: 3a² + 2b²

Not, put the value of a= -3 and b=6 we get

= 3a² + 2b²

= 3(-3)² + 2(4)²

= 3 x 9 + 2 x 16

= 37 + 32

= 69

Hence, the value of expression is 69.

Learn more about Expression here:

https://brainly.com/question/14083225

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Answer:

[tex]3+\sqrt{15} \\3-\sqrt{15}\\[/tex]

Step-by-step explanation:

if ax=6 and a = x-6...

x(x-6) = 6

Completing the square is a process such that [tex](x^2+2bx)=(x+b)^2-b^2[/tex]

Given:

The equation is

[tex]25+x=31[/tex]

25 is subtracted from both sides.

To find:

The missing values for the given blanks.

Solution:

We have,

[tex]25+x=31[/tex]

If 25 is subtracted from both sides, we get

[tex]25+x-25=31-25[/tex]

[tex](25-25)+x=6[/tex]

[tex]0+x=6[/tex]

So, the missing values for the blanks are 0 and 6 respectively.

It is also written as

25   +   x    =   31

-25                 -25

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

 0   +   x    =   6

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

Therefore, the missing values for the blanks are 0 and 6 respectively.

Slope = change in Y / change in x:

Slope = (5- 5) / (-1 - -9)

Slope = 0/8

Because the change in Y = 0, the slope = 0

Slope = 0

Answer:

0

Step-by-step explanation:

(-9,5) and (-1,5)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(5 - 5) / (-1 - 9)

Simplify the parentheses.

= (0 ) / (-10)

Simplify the fraction.

0/-10

= 0

This is your slope.

This is also a horizontal line, which will have a slope of 0.

Answer:

x = 2.4/20= 0.12

Step-by-step explanation:

Multiply both sides by 4 to eliminate the fraction 1/4:

1      20

--- = ------

x      2.4

Next, we cross-multiply.  This eliminates the fractions:

20x = 2.4

Dividing both sides by 20 results in an equation for x:  x = 2.4/20= 0.12

Answer:pretty sure it’s both 35°

Step-by-step explanation:

Answer:

a) - 7 dollars

b) 24.30 dollars

c) - 5 dollars

Step-by-step explanation:

b) 27 / 10%

Divide 27 by 10/100 by multiplying 27 by the reciprocal of 10/100.

27 x 100/10

Multiply 27 and 100 to get 2700.

2700/10

Divide 2700 by 10 to get 270.

270

Divide 270 by 100 to get 2.7

Subtract 27.00 - 2.7 = 24.30

24.30

Answer:

35

Step-by-step explanation:

100 / 50 = 2

70 / 2 = 35

Answer:

The height is 16

Step-by-step explanation:

Given

Shape:  Cube

[tex]Volume = 4096cm^3[/tex]

Required:

Determine the height of the house.

Volume is represented as:

[tex]Volume = L^3[/tex]

Make L the subject

[tex]L = \sqrt[3]{Volume}[/tex]

This gives:

[tex]L = \sqrt[3]{4096}[/tex]

[tex]L= 16[/tex]

The height is 16

Answer:

Follows are the solution to the given question:

Step-by-step explanation:

They can count the days of the year 1 to 365. The random project consists of drawing a sample of n objects from D where elements are n people's birth in a group but instead, D = {1,....365}. And then there's the issue.

[tex]S=365^n[/tex]

This because the list of future birthdays of n people was its test point; therefore m points will be in the sequence so each point contains 365 distinct outcomes. The probability function P for \Omega is that any event is likely to happen in 365 days.

[tex]P(x)=\frac{1}{365^{n}}[/tex]

if x is between 1 and 365 as well as the occurrence is just all similarly possible

In point i:

That somebody mentions their birthday throughout the party

Guess I was born on day b. Therefore the consequence of "x is in A" is "b is now in the series of x," which is to say, b = bk for some amount k approximately 1 and n.

In point ii:

Any 2 persons share the same birthday at this party". A result x is in B" means which "two of entries in x are same." This means that perhaps the outcome x is in B if or only if bj = bk is in B of two numbers j, and k of 1, of two. , no, n.

In point iii:

Many three students share the same birthday with both the party. The consequence is x at the level of C only when bj = bk = bl at three (different) indices, j, k, l, 1. , no, n.

Answer:

I think its 6 not sure

Step-by-step explanation:

Answer and Step-by-step explanation:

       |\

       |   \

       |     \

       |        \

       |           \

       |              \   9 + x

x - 9 |                 \

       |                    \

       |                      \

       |                        \

       |                          \

       |_____________\

                    x

That is your triangle.

Now, since its a right triangle, we can use the Pythagorean theorem to solve for x.

The equation for the Pythagorean theorem is this: [tex]A^{2} + B^{2} = C^{2}[/tex]

So we plug in the values.

[tex](x^{2} ) + (x-9)^{2} = (x + 9)^{2}[/tex]

We solve for x.

[tex]x^{2} + x^{2} -18x + 81 = x^{2} + 18x + 81[/tex]

Get everything to the left side of the equation. (x^2 + x^2 = 2x^2, - x^2 = x^2;

-18x - 18x = -36x;    81 - 81 = 0)

[tex]x^{2} -36x = 0[/tex]

Add 36x to both sides, then divide by x.

[tex]x^{2} = 36x\\\\x = 36[/tex]

Shortest Leg = 36 - 9 = 27

Longest Leg = 36

Hypotenuse = 45

#teamtrees #WAP (Water And Plant)

Answer:

(1) [tex](x,y) = (-2,-4)[/tex]

(2) [tex]y = 4x -26[/tex]

(3) [tex]x = 1[/tex]

Step-by-step explanation:

(1):

[tex]2x - y = 0[/tex]

[tex]x + 3y = -14[/tex]

Required: Solve for x and y

Make x the subject in [tex]x + 3y = -14[/tex]

[tex]x = -3y - 14[/tex]

Substitute -3y - 14 for x in the first equation

[tex]2x - y = 0[/tex]

[tex]2(-3y-14) - y = 0[/tex]

Open bracket

[tex]-6y - 28 - y = 0[/tex]

Collect Like Terms

[tex]- y-6y = 28[/tex]

[tex]-7y = 28[/tex]

Divide both sides by -7

[tex]y = -4[/tex]

Substitute -4 for y in [tex]2x - y = 0[/tex]

[tex]2x - (-4) = 0[/tex]

[tex]2x + 4 = 0[/tex]

Collect Like Terms

[tex]2x = -4[/tex]

Divide by 2

[tex]x = -2[/tex]

Hence, the solution is:

[tex](x,y) = (-2,-4)[/tex]

(2):

[tex](x_1,y_1) = (7,2)[/tex] -- points

[tex]m = 4[/tex] --- slope

Required: Determine the line equation

This is calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 4(x - 7) + 2[/tex]

Open bracket

[tex]y = 4x - 28 + 2[/tex]

[tex]y = 4x -26[/tex]

(3)

[tex]4 - 5x + 3 = 4x - 2[/tex]

Required: Solve for x

Collect Like Terms

[tex]- 5x -4x = - 2-3-4[/tex]

[tex]-9x = -9[/tex]

Divide both sides by -9

[tex]x = 1[/tex]

Answer:

y = 32

Step-by-step explanation:

[tex]\frac{1}{2} y + 22 = 38[/tex]

Subtract 22 from both sides to isolate the y variable.

[tex]\frac{1}{2} y = 16[/tex]

Divide both sides by [tex]\frac{1}{2}[/tex], which is the same as multiplying by 2.

y = 32

1/2y + 22 = 38

         -22    -22

1/2y = 16

x2      x2   ---> This is because if 1/2y = 26, that means y times 1/2 is 26, but we                  want to know what y times 1 is because y times 1 is equal to y so we multiply by 2 because 1/2 times 2 equals 1.

y = 32

Answer:

Step-by-step explanation:

Step 1: Convert into improper fractions

Step 2: Find  least common denominator and find equivalent fractions

Step 3 : Do the required operation

[tex]3\frac{1}{2}+2\frac{1}{4}-1\frac{1}{2}=\frac{7}{2}+\frac{9}{4}-\frac{3}{2}\\[/tex]

Least common denominator of 2 , 4 = 4

   [tex]=\frac{7*2}{2*2}+\frac{9}{4}-\frac{3*2}{2*2}\\\\=\frac{14}{4}+\frac{9}{4}-\frac{6}{4}\\\\=\frac{14+9-6}{4}\\\\=\frac{17}{4}\\\\=4\frac{1}{4}[/tex]

Answer: $3.50

Step-by-step explanation:

Let the cost of domestic shipping be x.

Since the cost of international shipping is $2.50 greater than the cost of domestic shipping. This will be:

= x + 2.50

Since we are further told that three of the cards will be shipped domestically, and two will be shipped internationally and that $22.50 will be spent on shipping, this will be express in an equation as:

3x + 2(x + 2.50) = 22.50

3x + 2x + 5.00 = 22.50

5x = 22.50 - 5.00

5x = 17.50

x = 17.50/5

x = $3.50

The cost if domestic shipping is $3.50

Answer:

X=x−4

Step-by-step explanation:

2(x−3)+X=5x−2(x+5)

Use the distributive property to multiply 2 by x−3.

2x−6+X=5x−2(x+5)

Use the distributive property to multiply −2 by x+5.

2x−6+X=5x−2x−10

Combine 5x and −2x to get 3x.

2x−6+X=3x−10

Subtract 2x from both sides.

−6+X=3x−10−2x

Combine 3x and −2x to get x.

−6+X=x−10

Add 6 to both sides.

X=x−10+6

Add −10 and 6 to get −4.

X=x−4

Answer:

w = 2.63157894736

Step-by-step explanation:

8w+3-2w=11(-4w+2) | Given

6w + 3 = -44w + 22 | Combine like terms & distribute

50w + 3 = 22 | Add 44w to both sides

50w = 19 | Subtract 3 from both sides (simplified)

w = 2.63157894736 | Divide both sides by 50 (value of w)

Answer:

-42t + 24

Step-by-step explanation:

-6(7t-4)=  -42t + 24

-6 x 7t = -42t

-6 x -4 = +4

Answer:

1.4

Step-by-step explanation:

Given the expression 2.1/1.5.

This can also be expresses as;

2.1/1.5

= 21/10 ÷ 15/10

= 21/10 × 10/15

= 21/15

= 7/5

= 1.4

Hence the result is 1.4

Answer:

r

Step-by-step explanation:

Answer:

12989 people

Step-by-step explanation:

f(x)=a(1+r)^x

a= the amount you start with

r=is the rate that it is growing

x= time intervals

12000(1+0.02)^4=12989