Which statements are true? select two options. δabc is-congruent-to δbxc δaxc ~ δcxb δbcx is-congruent-to δacx δacb ~ δaxc δcxa is-congruent-to δcba

I'm assuming there's a picture of a line, so here's how you decide:

1. Where does your line cross the y-axis?

2. If the y-intercept is (0,–2), what is the slope?

From your y-intercept, to get to another point to the right of this y-intercept, what do you do?

Let me know if you have any follow up questions in a comment.

The result of the equation 2.34 x 10²⁴ + 1.92 x 10²³ is 2.532 x 10²⁴.

To solve this given equation,

One first needs to take the common exponent out in both numbers

i.e. we need to take common from 2.34 x 10²⁴ and 1.92 x 10²³ which comes out to be 10²³

Therefore, using the distributive property of multiplication that states ax + bx = x (a+b)

we have, 2.34 x 10²⁴ + 1.92 x 10²³ = 10²³ (2.34 x 10 + 1.92)

= 10²³ (23.4 + 1.92)

=10²³ x 25.32

We convert this into proper decimal notation, and we get

=2.532 x 10²⁴

Therefore, we get 2.532 x 10²⁴ as the result of the given equation.

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Answer:

Step-by-step explanation:

First let's find the value of x :

We khow that the area of this triangle is 400 and it is given by the product of the base and the height over 2

Let's find the hypotenuse :

The pythagorian theorem :

The amount of the $420,000 indirect costs to be allocated to the Consumer Department of Banc Corp. Trust depends on the allocation base used, which in this case is the number of loans processed.

To allocate the indirect costs to the Consumer Department, Banc Corp. Trust uses a bankwide rate based on the number of loans processed. However, the specific information regarding the number of loans processed by the Consumer Department is not provided. Without this information, it is not possible to determine the exact amount of indirect costs allocated to the Consumer Department.

The allocation process typically involves calculating a predetermined rate based on the allocation base (in this case, the number of loans processed) and then applying that rate to the activity level of the Consumer Department. The activity level could be determined by the number of loans processed, the percentage of total loans processed by the Consumer Department, or any other appropriate measure.

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Answer:

x = 111°

Step-by-step explanation:

Angles in a triangle add up to 180

180 - (29+82) = 69

Angles on a straight line add up to 180

180 - 69 = 111

Answer:

111°

Step-by-step explanation:

the sum of the outer angles of a triangle is alway 180

so 180-82-29= 69°

180-69= 111°

Answer:

14.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dilating a segment can change the length.  TRUE

A dilated line segment is parallel to its preimage.  TRUE

Dilation is a transformation that allows you to resize an object. The correct options are C and E.

Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.

A translation is a transformation that moves every point in a figure in the same direction by the same amount, while dilation is a transformation that allows you to resize an object.

Therefore, the statements that are true are,

Hence, the correct options are C and E.

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The formula to find the sum of the first n integers is given by the formula n(n+1)/2.

In discrete mathematics, the formula to find the sum of the first n integers is given by the formula n(n+1)/2. To verify a computer answer using this formula, you need to substitute the value of n into the formula and check if the sum matches the computer's answer.

Let's say the computer provides an answer for the sum of the first n integers. You can calculate the sum using the formula n(n+1)/2. If the result matches the computer's answer, then the computer's answer is verified.

To do this, you can plug in the value of n into the formula and calculate the sum. For example, if the computer's answer is 150 and n is 15, you would substitute n=15 into the formula: 15(15+1)/2 = 15(16)/2 = 240/2 = 120. If the calculated sum matches the computer's answer of 150, then the computer's answer is verified.

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In a family with five girls and the probability of a boy being born is 1/2, the probability of the next child being a boy is still 1/2.

The previous births do not affect the probability of the next birth since each birth is an independent event.

The probability of an event occurring is determined by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the event of interest is the birth of a boy.

Since each birth is an independent event, the probability of having a boy on any given birth is always 1/2, regardless of the previous children born.

In the given scenario, the family already has five girls. This information is not relevant to the probability of the next child being a boy. The gender of the previous children does not affect the probability of the next child being a boy or a girl.

Therefore, the probability of the next child being a boy remains 1/2, as it is for any independent birth event.

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Slope AB = slope CD = 1/1 and slope BC ≠ slope DA. Therefore, AB and CD are parallel sides, and ABCD is a trapezoid.

In geometry, a trapezoid (also known as a trapezium in some countries) is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs.

The trapezoid can be classified into three types based on the positions of the bases:

Isosceles trapezoid: A trapezoid in which the non-parallel sides are congruent.

Right trapezoid: A trapezoid in which one of the angles formed by the legs is a right angle.

Scalene trapezoid: A trapezoid in which none of the sides are congruent.

The area of a trapezoid can be calculated by the formula:

A = (b1 + b2)h/2

where b1 and b2 are the lengths of the bases and h is the height of the trapezoid (the perpendicular distance between the bases).

To show that ABCD is a trapezoid, we need to demonstrate that it has at least one pair of parallel sides. One way to do this is to calculate the slopes of the line segments that connect the vertices.

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

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

Using this formula, we can calculate the slopes of the four line segments:

slope AB = (4 - 1) / (2 - (-1)) = 3/3 = 1

slope BC = (1 - 4) / (3 - 2) = -3/1 = -3

slope CD = (-3 - 1) / (-3 - 3) = -4/-6 = 2/3

slope DA = (1 - (-3)) / (-1 - (-3)) = 4/2 = 2

We can see that slope AB = slope CD = 1/1 and slope BC ≠ slope DA. Therefore, AB and CD are parallel sides, and ABCD is a trapezoid.

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Answer:Width=5, Length=10

Step-by-step explanation:

You can solve this by using a variable, x, and assigning it to the value that is the width.

Since the perimeter of a rectangle is the width times two plus the length times two, you can use an equation that looks like this:

(image shown)

This will give you the value of X, the width, and you can multiply this value by 2 to get the length.

Answer:

10 cm

Step-by-step explanation:

The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length and w is the width1. We know that the perimeter of this rectangle is 30 cm. So we can write:

2(2w + w) = 30

Simplifying this equation gives:

6w = 30

Therefore:

w = 5

So the width of the rectangle is 5 cm and its length is twice as long as its width which means it’s 10 cm.

Answer:

Step-by-step explanation:

Given the expression  5 p + 6 = 7, to know the value of variable p. we need to make p the subject of the formula as shown;

Given  5 p + 6 = 7

Step 1: Subtract 6 from both sides

5p+6-6 = 7-6

5p = 7-6

Step 2: We will then divide both sides by the coefficient of p i.e 5 to have;

5p/5 = (7 - 6)/5

p =  (7 - 6)/5

Hence, the correct expression of variable p is p = (7 - 6)/5

Answer:

Line n

Step-by-step explanation:

We see on the picture that XM=MY

So M is midpoint of the segment XY

Line n passes through midpoint M, so it is the segment bisector of XY

Correct choice is Line n

Answer:

382.2 square meters

Step-by-step explanation:

The formula for a trapezoid is 1/2*h*(b1+b2)

Let's just plug in the numbers.

0.5*17.9*(16.3+26.4)

8.95(42.7)

If we just multiply those two numbers together...

we get 382.165

Rounding that to the nearest tenth...

we get 382.2 square meters.

Feel free to tell me if I did anything wrong! :)

Answer:

-3

Step-by-step explanation:

take a set of points (2,3) (3,-6)

\(\frac{y2-y1}{x2-x1}\)

\(\frac{-6-(-3)}{3-2}\)

\(\frac{-3}{3-2}\)

\(\frac{-3}{1}\)

-3

A poster is being designed that is to contain 2 150. In of printed material with margins of 2 inches at the top and bottom and 3 inches at each side. the dimensions that will minimize the amount of paper used is that should be 12 inches wide by 6 inches tall.

The margins are 2 inches at the top and bottom and 3 inches at each side. The margins are then added to the two 150s, making a total width of 12 inches and a total height of 6 inches. This is the minimum amount of paper that can be used for the poster.   In order to minimize the amount of paper used, it is important to consider the size of the margins.

The margins should be kept as small as possible in order to maximize the amount of space available for the printed material. Generally speaking, a margin of 1 inch is sufficient for most printed materials. If a larger margin is necessary, then the overall dimensions of the poster should be adjusted accordingly.

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Answer:

1) gradient  (00) (-2 4) = y2-y1 / 2-1 = 4/-2 = -2  m = -2/1  means = m = -2  (negative slope)   2)  gradient  y2-y1 / x2-x1 = 3-0 / 2-0  = 3/2 = (1 1/2)/1   m = 1 1/2  (positive slope) we use the formula y-values divided by the change in the x-values.    The equation of the gradient each goes like this 1) y = -2x   as y is at origin nothing else to add     The equation of the gradient each goes like this 2) y = 1  1/2x     The equation of the point formula  1) we take the y -y1 = m (x +x 1)  =  y-0 = -2x (x +0)  (as m = -2) y = -2(x +0)   and  The equation of the point formula  2)  y - 0 = m ( x +x1)     y - 0 = 1 1/2( x +0)  = y = 1 1/2( x +0)

Number of quarters is 6 and number of nickels are 42.

One eighth of Al's coins are quarters, so if we let x be the total number of coins, then x/8 is the number of quarters Al has.

We know that:

Quarters are worth $0.25 and nickels are worth $0.05 and total value of the coins is $3.60

so, x/8 * $0.25 + (x-x/8) * $0.05 = $3.60

=> x/8 * 0.25 + 7x/8 * 0.05 = 3.60

multiplying both sides by 8 to cancel out 8, we get

=> x*0.25 + 7x * 0.05 = 28.8

=> x/4 + 7x/20 = 28.8

=> (5x + 7x)/20 = 28.8

=> 12x = 576

=> x= 48

x/8 = 6 and (x-x/8) = 42

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The total amount of money that was spent by Noel to cash her three (3) most recent paychecks is equal to $10.99.

A paycheck can be defined as a financial document that is issued by an employer to an employee as payment for the work done over a period of time.

From the table, we can see that the amount of money charged by the bank as check processing fee is equal to $1.99, as well as 1.99% (0.0199) of the amount being cashed by a customer.

Thus, we would compute the amount of money spent by Noel as follows:

Noel = (0.0199 × 100.53) + (0.0199 × 119.38) + (0.0199 × 122.52) + (1.39 × 3)

Noel = 2.00 + 2.38 + 2.44 + 4.17

Noel = $10.99.

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Answer:

supplementary

Step-by-step explanation:

Based on the given side lengths of 3cm, 7cm, and 7.4cm, the triangle is a(n) scalene triangle. In a scalene triangle, all sides have different lengths.

Triangles are described in terms of their sides and angles in geometry. A closed planar three-sided polygon shape with three sides and three angles is known as a triangle. The lengths of the sides of a scalene triangle vary. They are not equal, and the angles have three measurements. However, it still has a 180° angle sum, just like all triangles.

A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees. As a result, it satisfies the triangle's condition of angle sum.

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Answer:

A) 16 mm

just took the test

Answer:

16

Step-by-step explanation:

Out of the following, the statement Excel can add only linear trendlines to data in a scatter chart is  true  regarding   trendlines in scatter chart in excel.This means that the trendline in Excel will be a straight line that will best fit the data points in the scatter chart.

It will not be able to fit any other type of trendline, such as a polynomial or exponential trendline. Additionally, Excel cannot output the R Square value for a trendline in Excel for scatter charts of 3 or more variables. This is because the R Square value is a statistical measure that can only be calculated for linear regression models.

Finally, for simple linear regression models, the trendline in Excel will give the same equation as the data analysis toolpak regression tool. This means that the equation of the trendline in Excel will be the same as the equation of the regression line calculated by the data analysis.

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The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

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The answer is 24π square feet per second, which means that the area inside the ripple is increasing at this rate when the ripple is 8 feet in diameter.

To solve this problem, we need to use the formula for the area of a circle, which is A = πr². We know that the diameter of the ripple is 8 feet, so the radius is 4 feet (half of the diameter).
Next, we need to find the rate of change of the area with respect to time. This is given by the formula dA/dt = 2πr(dr/dt), where dr/dt is the rate at which the radius is changing (in this case, the speed of the ripple).

We are given that the speed of the ripple is 3 ft/sec. Therefore, dr/dt = 3 ft/sec.

Substituting the values we have, we get dA/dt = 2π(4)(3) = 24π.

So the area inside the ripple is increasing at a rate of 24π square feet per second when the ripple is 8 feet in diameter.

In more than 100 words, we have used the formula for the area of a circle, as well as the formula for the rate of change of the area with respect to time, to solve this problem. The speed of the ripple, which is given, is used to find the rate at which the radius is changing. Finally, we substitute the values we have into the formula to find the rate of change of the area. The answer is 24π square feet per second, which means that the area inside the ripple is increasing at this rate when the ripple is 8 feet in diameter.

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From the rate of change in area, the increasing rate of area inside the ripple with diameter 8 feet and ripple rate 3 ft/sec is equals to 24π.

We have a pebble is dropped into a pond. Rate or speed of ripple travelling in pond = 3 ft/sec

We have to determine the rate of the area inside the ripple increasing when the ripple is 8 feet in diameter.

Let area and radius be A and r of the ripple respectively. Both are changing with time, so, \(\frac{ dr}{dt} = 3 ft/sec\). Area of circular ripple is written as,

A = πr² --(1)

Differentiating the above equation with respect to time,t, \(\frac{dA}{dt}= 2πr \frac{dr}{dt } \).

Now, for obtaining the increase rate of area inside the ripple, substitute r = d/2

= 4 feet and \(\frac{ dr}{dt} = 3\)

in above expression

=>\( \frac{dA}{dt} = 2π (4)(3) \)

= 24π

Hence, required value is 24π .

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Answer:

1. -2 degrees

2. 10 feet below sea level

Step-by-step explanation:

Answer:

a) If the diameter is 400 feet wide, then the radius is half that, which is 200 feet wide.

b) The circumfernce is π times the diameter, which is 400 feet. 400×π≈1256.64

c) She is not correct. She squared 400, which is 160000, when she should have squared 200, which is 40000. Then, multiply by π.

40000 × π ≈ 125663.7