What is the measure of the unknown angle?

Step-by-step explanation:

Correct option is A)

Let Q(h,k) be the image of P(3,3) w.r.t the line mirror x+y=0

a

h−p

=

b

k−q

=

a

2

+b

2

−2×(ap+bq+c)

1

h−3

=

1

k−3

=

2

−2(6)

⇒h−3=k−3=−6

⇒h=−3,k=−3

So, the image is Q(−3,−3).

In the second transformation, point Q is translated horizontally 3 units to the left and vertically 3 units up.

So, the coordinates of new image is (−3−3,−3+3) i.e. (−6,0)

In the third transformation, point (−6,0) is reflected w.r.t the line y=x

So, the final image is (0,−6).

Was this answer helpful?

Answer:

we know that

the equation for calculating the slope of a line is

m=(y2-y1)/(x2-x1)

look for any two points on the graph

let

A(0,0)

B(3,1)

m=(1-0)/(3-0)------> m=1/3

the slope  is 1/3 throughout the line

therefore

the answer is the option

B-It is 1/3 throughout the lineStep-by-step explanation:

Answer:

y = -x +4

Step-by-step explanation:

Hi there!

We are given the equation of a line, and we want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y-intercept

First, we need to find the slope of the line

The slope (m) can be calculated from 2 points, using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

First, let's find 2 points on the line:

The intercepts - the points where the line hits the x and y axis are a good place to start; the intercepts of this line are (4,0) and (0, 4), which will also work for calculating the slope

Let's label the values of these 2 points to avoid any confusion and mistakes when calculating.

[tex]x_1=4\\y_1=0\\x_2=0\\y_2=4[/tex]

Substitute into the formula

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

m=[tex]\frac{4-0}{0-4}[/tex]

Subtract

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

Divide

m = -1

The slope of the line is -1

We can substitute that into our equation:

y = -x + b (when -1 is the leading coefficient, only adding a minus sign in front of the variable will suffice)

Now we need to find b

As said earlier, b is the value of y at the y intercept

The point of the y intercept is (0, 4), and the value of y at this point is 4

So substitute 4 as b into the equation

y = -x + 4

Hope this helps!

Answer:

78º

Step-by-step explanation:

Note : -

In mathematics, the reference angle is defined as the acute angle and it is measuring less than 90 degrees. It is always the smallest angle, and it makes the terminal side of an angle with the

x - axis.

Step 1 : -

Find where 192º lies in which quadrant.

192º lies in 3rd quadrant ( between

180º and 270º )

Step 2 : -

Subtract : 270 - 192

270 - 192 = 78º

( Since, 192º is greater than 180º, is subtracted from 270º )

Answer : -

78º is the reference angle for 192º.

Answer:

the relation is given as a set of ordered pairs.

Step-by-step explanation:

The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates

Answer: 4,000,000

Please, please give me brainliest! I'm trying to become the next rank :) Thanks!

Answer: Heyaa!

The Answer Is... 4000000

Step-by-step explanation:

Multiple them together :

Hopefully this helps you !

- Matthew ~

The answer is option B

Answer:

A. y = x - 3

Step-by-step explanation:

By examining the table, we can see that all y-values have a constant correlation to each x-value by -3. Therefore, the best answer is y = x - 3.

x + 3 would change to y-values to 7, 9, 11, 13.
4x would change the y-values to 16, 24, 32, 40.
x + 2 would change the y-values to 6, 8, 10, 12.

hope this helps!

The value of x, when two angles are complementary with one angle value is x plus 9 degrees and the second angle value is 44 degrees, is 37 degrees.

The two angles are called complementary angles, when the sum of these two angle is equal to the 90 degrees.

Suppose there are two angle, angle A and angle B. These two angles will be complementary if,

[tex]m\angle A+m\angle B=90^o[/tex]

The figure shows complementary angles.

As, both the angles are complementary. Thus,

[tex](x+9)+44=90\\x+9+44=90\\x+53=90\\x=90-53\\x=37^o[/tex]

Thus, the value of x, when two angles are complementary with one angle value is x plus 9 degrees and the second angle value is 44 degrees, is 37 degrees.

Learn more about the complementary angles here;

https://brainly.com/question/16281260

#SPJ1

Answer:

4536.459792... ft^2 or 1444pi ft^2

Step-by-step explanation:

Surface area of a sphere

A = 4 x pi x r^2

Since we have the diameter we can divide that by two to get the radius

38/2 = 19

Then we plug the digits we have into the equation

A = 4 x pi x 19^2

A = 4536.459792... or 1444pi

[tex]\large\textsf{Hey there!}[/tex]

[tex]\large\textbf{How do you convert a fraction to a decimal?}[/tex]

[tex]\bullet\large\text{ To put it easier to understand DIVIDE the numerator \& denominator}\\\\\large\text{ from each other and solve!}[/tex]

[tex]\large\textbf{How will we answer it?}[/tex]

[tex]\rm{\dfrac{2}{9}}[/tex]

[tex]\rm{= 2\div 9}[/tex]

[tex]\rm{= 0.22222222}[/tex]

[tex]\rm{\approx 0.22}[/tex]

[tex]\large\textbf{Here is a basic formula for converting fractions to decimals:}[/tex]

[tex]\rm{\dfrac{a}{b}\rightarrow a \div b \rightarrow c}[/tex]

[tex]\large\textbf{What is the answer?}[/tex]

[tex]\large\boxed{\mathsf{0.22222222}}\large\checkmark[/tex]

[tex]\large\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphirite1040:)}[/tex]

A fraction, like 2/9, has a numerator and a denominator separated by a dividing line.

2 is the numerator, because it is the number above the dividing line.

9 is the denominator because it is the bottom number of the dividing line.

To convert 2/9 to a decimal, divide the numerator by the denominator.

[tex] \bold{2 ÷ 9 ≈ 0.222222 ⇒ Answer}[/tex]

keeping in mind that a year has 12 months, thus 6 months is really 6/12 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$630\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ t=years\to \frac{6}{12}\dotfill &\frac{1}{2} \end{cases} \\\\\\ I = (630)(0.065)(\frac{1}{2}) \implies I\approx 20.48[/tex]

Answer:

165

Step-by-step explanation:

If the ratio is (m->w) 4:7 and there are 105 women, there are 60 men. Add these together to get the total: 165.

Answer:

52 should be the answer

Step-by-step explanation:

first, love the parathesis. subtract 7-2

second 3 raised to the second power

third times 3 raised to the third power by 5 the answer a few u substrates 7-2

fourth 14 divide 2

finally I would add (14/2) 7 + 45 (which is 9 times 5)

read through it carefully by the end if the problem, you should have 52 as the ans

How much does the Kyrie 5 cost?

The answer would be C

Hope this helps

Answer:

SW

Step-by-step explanation:

She received 12 calls from her son and 30 calls in total.

40% of 30 is 12.

[tex]\log_b\left( \dfrac 1{10} \right)\\\\=\log_b 1 - \log_b 10\\\\=0-2.303\\\\=-2.303[/tex]

Answer:

Pattern: subtract 2 from the input to get the output

When the input is 9, the output is 7

When the input is 13, the output is 11

Step-by-step explanation:

» Application + Solution

To find the pattern, we have to look for common things we notice between the input and output.

Now that we realized the pattern, we subtract 2 from 9 and 13.

In h(x) = 4x^2 + 3x - 2, there is an x contained with h as well as an x in the expression. To find h(j + 1), we'll need to plug in (j + 1) everywhere that there is an x.

h(j + 1) = 4(j + 1)^2 + 3(j + 1) - 2

h(j + 1) = 4(j^2 + 2j + 1) + 3j + 3 - 2

h(j + 1) = 4j^2 + 8j + 4 + 3j + 3 - 2

h(j + 1) = 4j^2 + 11j + 5

Hope this helps!

Answer:

166 m²

Step-by-step explanation:

Surface Area