Which triangles are similar?

Answer:

-5/6

Step-by-step explanation:

(9, 5) and (21, -5)

slope = m = (difference in y)/(difference in x)

m = (-5 - 5)/(21 - 9)

m = -10/12

m = -5/6

Answer: -5/6

The slope of the line that passes through points (9,5) and (21,-5) is -5/6.

We can use the two-point formula to find the slope for the given line. The formula is as follows:

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

Where (x1, y1, x2, and y2) represent the points on the line, and m is the slope of the line.

In the given case:

x1=9, x2=21

y1=5, y2=-5

Using these values in the two-point formula, we get:

(-5-5)=m*(21-9)

-10=m*12

m=-10/12

m=-5/6

Hence the slope of the line is -5/6.

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The value of x in the parallelogram is 112°.

In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.

To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.

Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.

Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.

Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.

This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.

For the given question, we know x° + 68° = 180°.

Then x° = 180° - 68°

x° = 112°

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Answer:

251. cm

Step-by-step explanation:

2 × pi = 6.28

6.28 × 40 = 251.2

Answer:

what do you need?

Step-by-step explanation:

Answer:

The first is

Basketball : 2

Football :0

Nd da 3rd one (donno da name) : 4

Step-by-step explanation:

Please mark as brainliest

The domain value that corresponds to a range value of 4 is,

⇒ x = 1/2

Given that;

Function is,

y = 4x + 2

Since, the equation equal to the range value:

4 = 4x + 2

Then, we can solve for "x":

4 - 2 = 4x

2 = 4x

x = 1/2

Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:

y = 4x + 2

y = 4(1/2) + 2

y = 4 + 2

y = 6

Therefore, the domain value that corresponds to a range value of 4 is,

⇒  x = 1/2

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Answer:

I did the math there is no answer

The measure of three angles of triangular backyard are 28°, 31°  and 121°.

Given that, a home has a triangular backyard.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Let the measure of first angle be x.

The second angel of the triangle is 3 more than the first angel = x+3

The third angel is 9 more than four times the first angel = 4x+9

Using angle sum property of a triangle

x+x+3+4x+9 = 180°

⇒ 6x + 12 = 180

⇒ 6x = 168

⇒ x = 28°

So, x+3 = 31° and 4x+9 = 121°

Therefore, the measure of three angles of triangular backyard are 28°, 31°  and 121°.

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Step-by-step explanation:

yes the area of the red square is 6^2 = 36.

the area of the bigger white square is 15^2 = 225.

36/225 = 0.16

The answer for this question is Celsius for Fahrenheit.

To convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.

(50°F - 32) x.5556 = 10°C, for instance.

When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.

For instance, (30°C x 1.8) + 32 = 86°F'

Here are two useful charts that translate between F and C as well as between C and F.

The temperature of f degrees Fahrenheit converted to degree Celsius.

(( f)=5/9 (f-32)

represent the temperature of f degrees Fahrenheit converted to degree Celsius.

The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.

So that means if the temperature is in Fahrenheit it will be converted to Celsius.

So that means the C(F) represents the Celsius temperature.

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Complete Question -

For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?

Answer:

m = 3

Step-by-step explanation:

For slope intercept of (y+4)=3(x+2) use the slope-intercept form  

y  =  m x  +  b  to find the slope  m.

Step-by-step explanation:

B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).

To factor a quadratic expression, you can use the following steps:

1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).

2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.

In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:

(b+7)(b+1)

This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).

Here is a step-by-step explanation of how to factor B^2+8b+7:

1. The coefficient of the middle term is 8.

2. The constant term is 7.

3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.

4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).

Answer:

$33,924

Step-by-step explanation:

The amou8nt of the raise is 2.8% of $33,000.

2.8% of $33,000 =

= 2.8% × $33,000

= 0.028 × $33,000

= $924

The amount of the raise is $924.

The new salary is the amount of the raise added to the original salary.

$33,000 + $924 =

= $33,924

Answer:

8494.87 is the actual answer but the rounded version is 8494.9

Step-by-step explanation:

3.142×52^2=8494.866535

8494.9 nearest tenth

Answer:

1023/4

Step-by-step explanation:

shown in the picture

The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960

We are told that  two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity

The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.

Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;

x + y ≤ 9

x ≥ 2

y ≥ 3

Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;

20x + 50y ≤ 360

Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;

Z = 80x + 120y  maximize

The solution from the graph attached is;

x = 3, y = 6

Thus, the maximum profit is;

Z = 80(3) + 120(6)

Z = 960

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Answer:

The passenger train is traveling at 45 mph, and the freight train is traveling at 27 mph.

Step-by-step explanation:

Let's assume the speed of the passenger train is represented by x mph.

According to the given information, the freight train leaves the depot 2 hours before the passenger train. Therefore, when the passenger train starts, the freight train has already been traveling for 2 hours.

Let's represent the speed of the freight train as (x - 18) mph, which is 18 mph slower than the passenger train.

Now, we know that the passenger train overtakes the freight train in 3 hours. This means that the passenger train traveled for 3 hours, while the freight train traveled for 3 + 2 = 5 hours.

Since speed = distance/time, we can set up the following equation based on the distances covered by each train:

Distance covered by passenger train = Distance covered by freight train

Using the formula, distance = speed × time, we get:

x × 3 = (x - 18) × 5

Simplifying the equation:

3x = 5x - 90

90 = 5x - 3x

90 = 2x

Dividing both sides by 2:

45 = x

So, the speed of the passenger train is 45 mph.

The speed of the freight train is 45 - 18 = 27 mph.

Answer:6/5 or 1.2

Step-by-step explanation:

4/5 divided by 2/3

=4/5 *3/2

=12/10

=6/5

=1.2

Answer:

Please find attached pdf

Step-by-step explanation:

The measure of < JKL = 25+25 = 50 degrees.

Angle JOK = 360 -230 = 130 degrees , (where O is the center of the circle)

< OLK = < OJK = 90 degrees ( tangent to a circle)

< LOK = < JOK = 180 - (90+65) = 180 - 155 = 25 degrees

The solution is: < JKL = 25 +25 = 50 degrees

Answer:

$506.25

Explanation:

assuming it is simple interest,

$1500 × 6.75% = $101.25 (interest earned each year)

$101.25 × 5 = $506.25 (interest earned in 5 years)

i hope this helps, feel free to comment if you need to clarify anything!

The increase in Fahrenheit temperature  is of 12.6 degrees.

The formula to have a change of units is:

To convert Celsius to Fahrenheit, you can use the formula:

°F = (°C x 1.8) + 32

(So you are correct, the rate is 9/5 = 1.8)

The increase of 7°C wold be given by the difference:

increase = ((°C + 7°) x 1.8) + 32 - (°C x 1.8) + 32

Solving that equation we can see that

increase =  12.6°F

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Answer:

he increase in Fahrenheit temperature  is of 12.6 degrees.

What is the increases in Fahrenheit temperature?

The formula to have a change of units is:

To convert Celsius to Fahrenheit, you can use the formula:

°F = (°C x 1.8) + 32

(So you are correct, the rate is 9/5 = 1.8)

The increase of 7°C wold be given by the difference:

increase = ((°C + 7°) x 1.8) + 32 - (°C x 1.8) + 32

Solving that equation we can see that

increase =  12.6°F

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Step-by-step explanation:

Answer:

3.60m

Step-by-step explanation:

In backwaters of Kerala, a boatman was throwing a boat with a long pole which has a length of 4.80m

The boatman put the pole into the water vertically, the part of the pole that was seen above the water level is 0.25m

The first step is to calculate the length of the pole that is seen above the water level

= 4.80 × 0.25

= 1.20m

Therefore the depth of the water at that point can be calculated as follows

=4.80m - 1.20m

= 3.60m

Hence the depth of the water at that point is 3.60m

Answer:

r = 20

Explanation:

-4 = r/20 - 5

-4 = r/20 - 5

-4 = 1/20r + -5

-4 = 1/20r - 5

1/20r - 5 = -4

1/20r - 5 + 5 = -4 + 5

1/20r = 1

(20)1/20r = 1(20)

a. 99% confidence level requires 452 subjects.

b.  95% confidence level requires  246 subjects.

c. Decreasing the confidence level decreases the sample size needed

We are to solve for  using the data that is gitten in the question

a. The z value using the 99 percent confidence level is given as (2.576

We have to put the value in the formula

n = (Z * s / E)^2

n = (2.576 * 17.7 / 2)^2

n ≈ 451.24

B For 95 percent, the critical value of Z is given as 1.96

when we out the value in the formula we would have

n =  (1.96 * 17.7 / 2)^2

n ≈ 245.24

C. The decrease in the confidence level leads to a fall in the sample size. From the results, the sample size fell from 452 to 246 when the confidence was reduced from 99 to 95 percent

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The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

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In order to prove that the triangles are congruent, we can use the following statements and reasons:

2.

Statement: Angles ADB and DBC are congruent.

Reason: Alternate interior angles.

3.

Statement: Angles CDB and DBA are congruent.

Reason: Alternate interior angles.

4.

Statement: segment BD is congruent to segment BD.

Reason: Reflexive property of equality.

5.

Statement: Triangle ABD congruent to triangle CDB.

Reason: ASA case of congruency.

Answer:

Step-by-step explanation:

-4(7-1) = (-4)7 + (-4)(-1) = -24