Move words to the blanks and equations to the boxes to prove that vertical angles <1 and <3 are congruent

7 x 9 = 63

12 x 14 = 274

add them together and you gey the total space left

Step-by-step explanation:

Hope this helps you ☺️☺️

The runway is 12,130 feet long.

To find are you have to times the two sides, in this case it's 190 X 12,130. To find the length of one of these sides you must divide the area by one known side, in this case 2,304,700/190, which means the answer is 12,130 feet

\( \huge \boxed { \sf \: Answer}\)

We have to use the formula:

\((ab) ^{n} = {a}^{n} {b}^{n} \)

So,

\((5 \times 9) ^{12} \\ = {5}^{12} . 9^{12} \)

Also, it will be

\( 45^{12} \)

Hope you could understand.

If you have any query, feel free to ask.

Answer:

m = 7

Step-by-step explanation:

To answer this question, we first have to simplify each side of the equation:

10m - 3 (2m - 9) = 9 (m - 1) + 1

10m - 6m + 27 = 9m - 9 + 1

4m + 27 = 9m - 8

Now, we have to take the 8 away from the right side by adding it onto the left side:

4m + 27 = 9m - 8

       +8            +8

4m + 35 = 9m

Now, we subtract 4m from the left side in order keep the variable on one side:

4m + 35 = 9m

-4m          -4m

35 = 5m

Finally, we divide 35 by 5 to isolate the variable:

5m = 35

/5      /5

m = 7

And now we now that m = 7

Hope this helps! :)

Answer:

3

Step-by-step explanation:

| 6-3|

Find the value inside the absolute value signs

6-3 = 3

| 3|

Means take the non negative value

|3| = 3

Answer:

3

Step-by-step explanation:

Well absolute value means turn the negative into a positive so,

|6-3|

|3|

= 3

Thus,

the answer is 3.

Hope this helps :)

Check the picture below.

Make sure your calculator is in Degree mode.

\(\cos(25^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{12}}\implies 12\cos(25^o)=x\implies \boxed{10.876\approx x} \\\\[-0.35em] ~\dotfill\\\\ \sin(25^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{12}}\implies 12\sin(25^o)=z \\\\[-0.35em] ~\dotfill\\\\ \sin(50^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{y}}\implies y=\cfrac{z}{\sin(50^o)}\implies y=\cfrac{12\sin(25^o)}{\sin(50^o)}\implies \boxed{y\approx 6.62}\)

Answer:3x =16 is the required equation.

Step-by-step explanation: 3*x = 16

Answer:

tan(θ)= dn/de

θ=arctan(dn/de)

Step-by-step explanation:

Answer:

Infinate

Step-by-step explanation:

The normal distribution is dependent on the standard deviation and what the value of the mean is. But this then implies that a different standard deviation or a different mean leads to a different normal distribution. Making there many possibilities for normal distributions.

There are infinitely many possibilities for normal distributions as there are indefinitely many values possible for both the mean and standard deviation.

Answer: 5/3a + 4/2b

Step-by-step explanation:

\(\dfrac{4}{3} a-\dfrac{1}{2} b+\dfrac{1}{3} a+\dfrac{5}{2} b\)

Rearrange:

\(\dfrac{4}{3} a+\dfrac{1}{3} a-\dfrac{1}{2} b+\dfrac{5}{2} b\)

Combine Like Terms:

\(\dfrac{4}{3} a+\dfrac{1}{3} a=\dfrac{5}{3} a\\-\dfrac{1}{2}b+\dfrac{5}{2} b=\dfrac{4}{2} b\)

\(\fbox{$\dfrac{5}{3}$a + $\dfrac{4}{2}$b}\)

Answer:

11

Step-by-step explanation:

Constant of proportionality, k, is the ratio of the quantity of variable y to the quantity of variable x.

Using a point on the line, (4, 44),

Constant of proportionality, k = \( \frac{y}{x} = \frac{44}{4} = 11 \).

Constant of proportionality of the graph is 11.

Answer:

its 40

Step-by-step explanation:

Answer:

Step-by-step explanation:

find the difference between two percentages,Example, it's 15% - 5% = 10%. Second: Take 10 percent, and divide by 2nd percentage: 10/5 = 2. Now multiply this number by 100: 2*100 = 200%

Answer:

3/13

Step-by-step explanation:

It is: 6/26 = 3/13 as a fraction in its simplest form

Answer: your answer would be 3/13

Step-by-step explanation: 6:26 (divide each number by 2 and you get 3:13)

BRAINLIEST PLS

Answer:

0.36

Step-by-step explanation:

The materials price variance based on standard and actual price is $6,180 U

What is materials price variance?

The materials price variance shows the extent to which the actual cost of materials is lower or greater than the standard cost of actual quantity of materials used as indicated below:

materials price variance=(standard price-actual price)*actual quantity of materials

standard price per pound of materials=$3.00

actual price per pound of materials=$3.10

actual quantity of materials used=61,800

materials price variance=($3.00-$3.10)*61,800

materials price variance=-$6,180(unfavorable because actual price is higher)

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The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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9514 1404 393

Answer:

  one solution

Step-by-step explanation:

There will be one solution if the left-side x-coefficient is different from the right-side x-coefficient.

Simplifying, we get ...

x + 1/2x -2 = 1/2x +6x -12

3/2x -2 = 13/2x -12

The left-side coefficient is 3/2, which is different from the right-side coefficient of 13/2. The equation will have one solution.

__

Add 12-3/2x to both sides to get ...

  10 = 5x

  2 = x . . . . . divide both sides by 5. This is the solution.

Answer:

y = -2/3x-10/3

Step-by-step explanation:

Y= -2/3x+4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -2/3

Parallel lines have the same slope

y = -2/3 x+b

Substitute the point into the equation

-2 = -2/3 (-2) +b

-2 = 4/3 +b

Subtract 4/3 from each side

-6/3 -4/3 = 4/3 -4/3 +b

-10/3 = b

y = -2/3x-10/3

Check the picture below.

now, notice the triangles made, 3 right triangles with legs of 5 and 4 each.

looking at quadrilateral (1), from the leg 5 units long, we have a line with a run of -1 and a rise of 3, from the leg 4 units long, we have a line with a run of 4 and a rise of -1.

Now, quadrilaterals (2) and (4) display the same lengths and rise and runs, which means they're all congruent, quadrilateral (3) has no equal.

so 1 ≅ 2 and 1 ≅ 4.

Answer:

\(9c \leqslant - 28\)

Step-by-step explanation:

Since 9 and c are multiplied together and the product is at most -28, the equation would have to be the one above.

Answer:

41.93 degrees

Step-by-step explanation:

Answer:

x = -2 + 2 i or x = -2 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 4 x + 8 = 0

Subtract 8 from both sides:

x^2 + 4 x = -8

Add 4 to both sides:

x^2 + 4 x + 4 = -4

Write the left hand side as a square:

(x + 2)^2 = -4

Take the square root of both sides:

x + 2 = 2 i or x + 2 = -2 i

Subtract 2 from both sides:

x = -2 + 2 i or x + 2 = -2 i

Subtract 2 from both sides:

Answer:  x = -2 + 2 i or x = -2 - 2 i

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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The charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation.

To determine the number of miles at which the charges for the two car services, A and B, are equal, we can set up an equation based on the given information.

Let's represent the charge for car service A as y_A and the charge for car service B as y_B. We can set up the following equations:

For car service A: y_A = 0.60x + 300 (in cents)

For car service B: y_B = 0.75x (in cents)

To find the number of miles at which the charges are equal, we set y_A equal to y_B and solve for x:

0.60x + 300 = 0.75x

Subtracting 0.60x from both sides:

300 = 0.15x

Dividing both sides by 0.15:

x = 300 / 0.15

x = 2000

Therefore, the charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation. Let's use the equation for car service A:

y_A = 0.60(2000) + 300

y_A = 1200 + 300

y_A = 1500 cents or $15.00

So, when each car travels 2000 miles, the charges will be equal at $15.00.

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Answer:

Loan analysis is an evaluation method that determines if loans are made on feasible terms and if potential borrowers can and are willing to pay back the loan. It checks the eligibility of the potential borrower against the criteria set forth for lending. Loan analysis helps in assessing the skills and financial knowledge of the borrower to ...

Hello! I believe your answer is x= -4 so B

===

Hope this helps and feel free to give feedback

Answer:

x = -4

Step-by-step explanation:

Answer:

a puppy because it easy to take care of

Step-by-step explanation:

\(v=\pi r^2h\)

\(\\3800ft^3=\pi r^2*(2.8miles), 1mile=5280ft\)

\(3800ft^3=\pi r^214784ft\\r^2=3800ft^3/3.14*14784ft\\r^2=3800ft^3/46421.76ft\\r=\sqrt{3800/46421.76} ft\\r=0.286108656ft\)