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What reflections map the figure onto itself?


The reflections that map the figure onto itself are Ra and Rb where a = and b =

Answer:

Option 4

Step-by-step explanation:

Answer:

18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.

Step-by-step explanation:

Given that the container [tex]a[/tex] has 20% concentrated cleaner

and container [tex]b[/tex] has pure water which has 0% cleaner.

Let x gallons from container a and y gallons from the container b are mixed to get a 9% concentrated solution.

So,

[tex]9\%\; \text{of}\; (x+y) = (20\% \; \text{of}\; x )+(0\% \; \text{of}\; y)\cdots(i)[/tex]

As the total amount of the final solution= 40 gallons

So, [tex]x+y=40\cdots(ii)[/tex]

Using the value of equation (ii) in equation (i), we have

9% of 40 = 20% of x

[tex]\Rightarrow 0.09\times 40=0.2 \times x[/tex]

[tex]\Rightarrow x=\frac{0.09\times 40}{0.2}[/tex]

[tex]\Rightarrow x=18[/tex] gallons.

From equation (ii),

18+y=40

[tex]\Rightarrow y=40-18=22[/tex] gallons.

Hence, 18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.

Answer: right angles x equals 7 and both m1 and 1 arre 5

Step-by-step explanation:

Answer: CA

Step-by-step explanation:

corresponding angles

90=5x

x=18

m1=90

m2=90

Answer:

The answer is Add -3 and 4 should be done first

[tex]\huge\boxed{\frac{3}{8}}[/tex]

To get the slope of a line from its standard form ([tex]Ax+By=C[/tex]), we can use [tex]m=-\frac{A}{B}[/tex].

[tex]\begin{aligned}m&=-\frac{A}{B}\\&=-\frac{3}{-8}&&\smash{\Big|}&&\text{Substitute in the known values.}\\&=\boxed{\frac{3}{8}}&&\smash{\Big|}&&\text{The negatives cancel out.}\end{aligned}[/tex]

Alternatively, we could have changed the equation to slope-intercept form and found the slope from there.

Answer:

30 Percent

Step-by-step explanation:

Use the percent change formula.

Answer:

Proteins

Step-by-step explanation:

I took the test and I got it right.

Answer:

proteins

Step-by-step explanation:

Answer:

how are you

Step-by-step explanation:

Answer:

B- 20 yards

Step-by-step explanation:

First you have to find the hypotenuse by finding the square root of 28 squares plus 45 squared which equals 53 yards. Next you have to add the two legs of the right triangle so we can subtract the shortcut length from that. So you have to do 28 plus 45 which equals 73 yards. 73 minus 53 is 20. So the answer is 20 yards.

Answer:

20

you have to find the hypotenuse by finding the square root of 28 squares plus 45 squared which equals 53 yards.  you have to add the two legs of the right triangle so we can subtract the shortcut length from that. So you have to do 28 plus 45 which equals 73 yards. 73 minus 53 is 20. So the answer is 20 yards.

Answer:

8

Step-by-step explanation:

Answer:

8 apples

Step-by-step explanation:

By saying gets rid of, it means subtraction

So, the equation would be

10-2

=8

Hope that clarified your answer!

Answer:

I believe it is 1.) SAS (angle side angle) 2.) SSA (side side angle), but can not be proven as a postulate, so not enough information, 3.) SAS (side angle side) 4.) SSS (side side side)

Step-by-step explanation:

Answer:

1) ASA (angle side angle postulate)

2) not enough information

3)SAS (side angle side)

4) SSS (side side side)

Answer:

-0.81818181818

Step-by-step explanation:

Answer:

-9/11

Step-by-step explanation:

Answer:

a) The Margin of Error = 0.26

b) The 99% Confidence Interval = ( 2.84, 3.36)

Step-by-step explanation:

a) Margin of Error

The formula for Margin of Error =

z × Standard deviation/√n

From the above question

The z score for 99% confidence interval = 2.576

Standard deviation = 0.72

n = Random number of samples = 50

Margin of Error =

2.576 × 0.72/√50

= 1.85472 /√(50)

= 0.2622970178

Approximately to 2 decimal places = 0.26

b) 99% Confidence Interval

= Mean ± Margin of Error

Mean = 3.1mm

Confidence Interval = 3.1 ± 0.26

3.1 ± 0.26

= 2.84

3.1 + 0.26

= 3.36

The 99% Confidence Interval = ( 2.84, 3.36)

Answer:

25%

Step-by-step explanation:

Given parameters:

Amount earned per month = 800

Her savings goal = 2400

Unknown:

Percentage of monthly income that must go into savings = ?

Solution:

In a year, Jessica will earn:

          12(800) = 9600

Now;

      To earn 2400;

 Let y be the percentage of her earning that goes into saving per year;

         2400 = [tex]\frac{y}{100}[/tex] x 9600

         2400 = 96y

               y = 25%

Answer:

Step-by-step explanation:

11-2.5= 8.5

8.5-2.5=6

your answer is 2.5

Answer:

B

Step-by-step explanation:

I Can't explain it,I'm sorry

Answer:

The height of the cliff CD is approximately 539.76 m

Step-by-step explanation:

The given parameters are;

The first angle of elevation with which the captain sees the person on the cliff = 61°

The second angle of elevation with which the captain sees the person on the cliff after moving 92 m closer to the cliff = 69°

The angle made by the adjacent supplementary angle to the second angle of elevation = 180° - 69° = 111°

∴ Whereby, the rays from the first and second angle of elevation and the distance the ship moves closer to the cliff forms an imaginary triangle, we have;

The angle in the imaginary triangle subtended by the distance the ship moves closer to the cliff = 180° - 111° - 61° = 8°

By sine rule, we have;

AB/(sin(a)) = BC/(sin(c))

Which gives;

92/(sin(8°)) = BC/(sin(61°))

BC = (sin(61°)) × 92/(sin(8°)) ≈ 578.165 m

BC ≈ 578.165 m

The height CD = BC × sin(69°)

∴  The height of the cliff CD = 578.165 m × sin(69°) ≈ 539.76 m.

The height of the cliff CD ≈ 539.76 m.

Answer:

(c) A convenience sample error was made in this design. This type of sampling is only representative of one neighborhood and not the entire city population.

Answer:

$9

Step-by-step explanation:

If you do 3.5*4 then you get 14. You then use the $5 gift card so you subtract 5 from 14 and get 9

using the equation, that would be f(x) = (3.5*4)-5. Using PEMDAS, you would do the parenthesis first so it would be f(x) = 14-5 which equals 9

Answer:

[tex]x=3,-7[/tex]

Step-by-step explanation:

We can solve for x by using [tex]\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}[/tex]

By applying this on the quadratic equation, we get:

[tex]x=\frac{-4\pm\sqrt{4^{2}+84} }{2}[/tex]

Which simplifies to:

[tex]x=\frac{-4\pm10}{2}[/tex]

[tex]\therefore x=3,-7[/tex]

Answer:

To find the x-intercept, substitute in  

0

for  

y

and solve for  

x

. To find the y-intercept, substitute in  

0

for  

x

and solve for  

y

.

x-intercept(s):  

(

3

,

0

)

y-intercept(s):  

(

0

,

2

)

Step-by-step explanation:

Answer:

-19/13

Step-by-step explanation:

[tex] \frac{7}{13} - 2 = \frac{7}{13 } - \frac{26}{13} \\ = - \frac{19}{13} [/tex]

Answer:

-19/3

Step-by-step explanation:

Rewrite the equation to 7/13-2 and get -1 and 6/13 which in improper fraction format is -19/3.

Answer:

AAS

Step-by-step explanation:

Answer:4

Step-by-step explanation: please just trust me!

Answer:

y=7(x-5)+3

Step-by-step explanation: