Solve for 44.
61°
44 = [?]
O
44/42
58°

Answer:

Two angles can be vertical and supplementary only if they add up to 90 degrees because there perpendicular.

Step-by-step explanation:

Answer:

90 + 90 = 180, 45 + 45 = 90

Step-by-step explanation:

Supplementary angles add up to 180 and to be vertical angles they need to be equal to each other so 2x = 180

x = 90

Hence both angles will be equal to 90

Complementary angles add up to 90 and as previously stated, to be vertical angles they need to be equal to each other so 2x = 90

x = 45

Hence both angles equal to 45

Hope this helped!

Answer:

Mean = 14.33333333

Median = 11

Mode= 9 and 11

Range  = 42

Step-by-step explanation:

To find the mean, add all the numbers

(5+1+15+43+9+9+11+11+14+12+36+6) = 172

Divide by the number of numbers

172/12 = 14.33333333

Median is the middle number when listed from smallest to largest

1,5,6,9,9,11,11,12,14,15,36,43

Split into 2 even groups

1,5,6,9,9,11,    11,12,14,15,36,43

The middle is between 11 and 11

(11+11)/2 = 11

Mode is the number that appears mode often

This has 2 modes, 9 and 11

Range is largest number minus smallest number

43-1 = 42

Answer:

x= 15

Step-by-step explanation:

Since this is an isosceles triangle, the other angle is also 5x-6

The sum of the angles of a triangle is 180

42+ 5x-6 + 5x-6 = 180

Combine like terms

10x+30 =180

Subtract 30 from each side

10x+30-30 = 180-30

10x = 150

Divide by 10

10x/10 = 150/10

x= 15

Answer:

B

Step-by-step explanation:

One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .

When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.

Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B

Answer:

254.47

Step-by-step explanation:

Raidus of the circle is 9

Formula to find the area is pi r^2

Answer:

a) f(3) =6

b) g(-4) =16

Step-by-step explanation:

answer to a, substitute X with 3. which will be f(3)=9-3

=6

answer to b, substitute X with -4, which will be g(-4)=(-4)^2

=16

Answer:

There are no solutions

Steps :

First we expand it

[tex]-3+6b=6b+5[/tex]

Then we add 3 to both sides

[tex]-3+6b+3=6b+5+3[/tex]

Then we simplify

[tex]6b=6b+8[/tex]

Then we subtract 6b from both sides

[tex]6b-6b=6b+8-6b[/tex]

Simplify

[tex]0=8[/tex]

No solutions !

Answer:

A. y = 2/5x - 2

Step-by-step explanation:

We can use the slope formula to find the slope of the line.

[tex]m=\frac{y_1-y_2}{x_1-x_2} \\m=\frac{-2-0}{0-5} \\m=\frac{-2}{-5}\\m=\frac{2}{5}[/tex]

Now we know that the slope of the line is 2/5. By looking at the graph, the line crosses the y-axis at the point (0, -2). Therefore, the equation of the line is y = 2/5x - 2.

Answer:

25°

Step-by-step explanation:

2x - 5°  = x + 20°

2x - x = 20° + 5°

x = 25°

The correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.

Let there is triangle ABC such that |AB| = a unit, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]

(c is the opposite side to angle A)

We have been Given any triangle ABC with corresponding side lengths a, b, and c.

In the given triangle ABC, the sides are;

BC = a, AB = b and AC = c

Now we know as per the law of cosines for all three sides of the triangle;

c² = a² + b² - 2ab cosC

a² = b² + c² - 2bc cosA

b² = a² + c² - 2ac cosC

Therefore the correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.

Learn more about the law of cosines here:

https://brainly.com/question/17289163

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Answer: The longest possible length of the shelves =  18 inches

Step-by-step explanation:

Given: Lengths of two boards are  72-inches and 54 inches.

To make as many shelves as he can while using up all the wood we will find the longest possible length of the shelves = HCF ( 72, 54)

72 = 2 x 2 x 2 x 3 x 3

54 = 2 x 3 x 3 x 3

HCF(72,54) = 2 x 3 x 3 = 18

Hence, the longest possible length of the shelves =  18 inches

Answer:

[tex]-\frac{1}{12}[/tex]

Step-by-step explanation:

Reduce the expression, if possible, by canceling the common factors.

Answer:

-

Step-by-step explanation:

-5/6÷-10

-5/6*1/-10

-5/-60

1/12

Answer:

An arithmetic sequence is defined by:

[tex]a_n = a_{n-1} + d[/tex]

Here, we know that:

[tex]a_3 = 14\\a_{10} = 98[/tex]

Using the recursive relation, we can write:

[tex]a_{10} = 98 = a_9 + d[/tex]

And can keep applying the recursive relation, so we will have:

[tex]98 = a_9 + d = (a_8 + d) + d = a_8 + 2*d[/tex]

And so on, until we get to a known term:

[tex]98 = a_8 + 2*d = a_7 + 3*d = a_6 + 4*d = a_5 + 5*d = a_4 + 6*d = a_3 + 7*d[/tex]

[tex]98 = a_3 + 7*d = 14 + 7*d[/tex]

Then we can solve:

98 = 14 + 7*d

for d:

98 - 14 = 7*d

84 = 7*d

84/7 = d = 12

Now we know the value of d, we can keep using the recursive relation to find the first 3 terms:

Here, we can rewrite the recursive relation as:

[tex]a_{n-1} = a_n - d[/tex]

Then:

[tex]a_2 = a_3 - d = 14 - 12 = 2\\a_2 = 2[/tex]

[tex]a_1 = a_2 - d = 2 - 12 = -10\\a_1 = -10[/tex]

[tex]a_0 = a_1 - d = -10 - 12 = -22\\a_0 = -22[/tex]

Then the first 3 terms are:

-22, -10, 2

Answer:

D

Step-by-step explanation:

In a function with x as the independent variable and y as the dependent variable, the f(x) notation replaces y in the equation.

Answer:

y=-7x-3

Step-by-step explanation:

y=-7x+b

32=-7(-5)+b

32=35+b

-3=b

y=-7x-3

The solution to the multiplication of surds (2√3) × (3√2) is; 6√6

Let us break each of them into the factors to get;

√12 × √18 = √(4 × 3) × √(9 × 2)

(√4 × √3) × (√9 × √2)

Simplifying this further gives;

(2√3) × (3√2)

a√b × p√q = ap√bq

(2√3) × (3√2) = 6√6

Read more about multiplication of surds at; https://brainly.com/question/24700530

Answer:

To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator.

When the denominators are not the same, we must manipulate them so that they become the same. In other words, you must find a common denominator.

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

The unknown arc is

360 -30-100-100 =

130

We can find the value of x

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

x = 1/2 ( 130 -30)

x = 1/2 (100)

x = 50

explanation

above shows total explanation by set theory,

answer

2

, t

Answer:

y / z^3

Step-by-step explanation:

x^0 is 1 because anything to the zero power is 1

1 *y z^-3

We know a^-b = 1/a^b

y / z^3

Answer:

[tex] \small \sf \frac{y}{z {}^{ 3}} [/tex]

Step-by-step explanation:

x⁰yz-³

[tex] \small \sf \: 1yz {}^{ - 3} [/tex]

1y +[tex] \small \sf \frac{1}{ z {}^{ 3}} [/tex]

[tex] \small \sf \frac{y}{z {}^{ 3} }[/tex]

Answer:

explain two ways in which the preservation of natural environments adds quality of life in a country : ,

Answer:

D. 8

Step-by-step explanation:

[tex]3\frac{3}{5} x2\frac{2}{9}[/tex]        Convert the fractions into a improper fractions

[tex]\frac{18}{5} x\frac{20}{9}[/tex]         Multiply 18 x 20 / 5 x 9

[tex]\frac{360}{45}[/tex]              Simplify

8

Answer:

47 pencil

Step-by-step explanation:

Let x represent the number of pencils that were bought. Since equal number of erasers where also purchased, hence x erasers were purchased.

Cost of pencils = Rs 20 per pencil * x pencils = 20x

Cost of erasers = Rs 4 per eraser * x eraser = 4x

40% profit was made on pencils, hence:

Profit on pencils = 40% of cost price = 0.4 * 20x = 8x

50% profit was made on erasers, hence:

Profit on eraser = 50% of cost price = 0.5 * 4x = 2x

Since the total profit from pencil and eraser was Rs 470, hence:

8x + 2x = 470

10x = 470

x = 47

Therefore he purchased 47 pencil

Answer:

Step-by-step explanation:

here x1=9  y1=8  x2=3  y2=5

midpoint=(x2+x1/2   ,   y2+y1/2)

=(3+9/2  ,    5+8/2)

=(12/2    ,     13/2)

=(6   ,    13/2)            

Answer:

smaller number = 15

Step-by-step explanation:

Let the two numbers be 5x and 3x respectively.

According to the question —

5x — 3x = 10

2x = 10

x = 5

Thus the smaller number is 3 × 5 = 15

Answer:

15?

Step-by-step explanation:

Sorry I'm not entirely sure that is correct but I hope it helped!