Determine whether the triangles are congruent. Explain you reasoning.

Answer:

Exponential

Step-by-step explanation:

The liner function represents that there is a constant change in the original value of the asset

While on the other hand the ex[onential function refers to that function in which there is an increase or decreased in the value of the asset that contains the current value of the asset

Hence, the given situation denotes the exponential function

Answer:

0.09

0.55

Step-by-step explanation:

to write least to greatest firstly, start comparing both number

so the answer will be=0.09,0.55

it least to greatest or in assending order.

Answer:

1. 2⁶

2. 6⁷

3. 14⁵

Step-by-step explanation:

We assume and apply the laws of logarithms and indices in the problems above.

1. Product Rule Law: which states that

loga (MN) = loga M + loga N

Where 2² X 5⁵  = 2²+⁵ = 2⁷

2. The Power rule: in which (6⁵)² = 6⁵+² = 6⁷

3. (2x7)⁵ = (14)⁵ or 5 log 14

Answer:

George must run the last half mile at a speed of 6 miles per hour in order to arrive at school just as school begins today

Step-by-step explanation:

Here, we are interested in calculating the number of hours George must walk to arrive at school the normal time he arrives given that his speed is different from what it used to be.

Let’s first start at looking at how many hours he take per day on a normal day, all things being equal.

Mathematically;

time = distance/speed

He walks 1 mile at 3 miles per hour.

Thus, the total amount of time he spend each normal day would be;

time = 1/3 hour or 20 minutes

Now, let’s look at his split journey today. What we know is that by adding the times taken for each side of the journey, he would arrive at the school the normal time he arrives given that he left home at the time he used to.

Let the unknown speed be x miles/hour

Mathematically;

We shall be using the formula for time by dividing the distance by the speed

1/3 = 1/2/(2) + 1/2/x

1/3 = 1/4 + 1/2x

1/2x = 1/3 - 1/4

1/2x = (4-3)/12

1/2x = 1/12

2x = 12

x = 12/2

x = 6 miles per hour

Answer:

Axis of Symmetry: x = 3

Vertex: (3, 5)

Step-by-step explanation:

Use a graphing calc.

Answer:

3

Step-by-step explanation:

Answer:

win-263889 loss-236111

Step-by-step explanation:

1:the guys throws the dice twice no charge for this

2:for every face the first time there is a chance of getting the others or the same face e.g round 1-1 round 2-(either 123456)

3:I drew a probability tree to get the sum

like if I got 1and1 then sum is 2 I did it for the rest

4:I got P of (even)=17/36 and for (odd)=19/36

5:then the organizer has to pay if it's even and there 1 million throws Wich means the probability he will lose is the probability of getting an even sum for 500000 throws and for winning is the probability of getting odd sums in those 500,000 throws

6: 500k is because only after it's thrown twice were there charges

Answer:

[tex]\boxed{\sf y=6}[/tex]

Step-by-step explanation:

There are 5 identical squares.

The area of one square is [tex]\sf s^2[/tex].

[tex]\sf{y^2 } \times \sf{5}[/tex]

[tex]\sf 5y^2[/tex]

The area of the whole shape is 180 cm².

[tex]\sf 5y^2=180[/tex]

Solve for y.

Divide both sides by 5.

[tex]\sf y^2=36[/tex]

Take the square root on both sides.

[tex]\sf y=6[/tex]

Answer:

3500 tons

Step-by-step explanation:

The Greenpoint factory produced 2/5 of the bricks that the Consolidate Brick Company produced in 1991.

Let the amount of bricks produced by the Greenpoint factory be g and the amount of bricks produced by the Consolidated brick company be c.

Therefore:

g = 2/5 * c = 2c/5

That year, the Greenpoint factory produced 1400 tons of bricks. This implies that:

1400 = 2c/5

To find the amount that the Consolidated Brick Company produced, solve for c:

1400 = 2c/5

1400 * 5 = 2c

7000 = 2c

c = 7000 / 2 = 3500 tons

The Consolidated Brick Company had a total production output of 3500 tons in 1991.

Answer:

The values of x = 8 and x = -3 are the x-intercepts of this equation. The width of the archway is 11 units.

Step-by-step explanation:

Let be [tex]y = -x^{2}+5\cdot x +24[/tex], which is now graphed with the help of a graphing tool, the outcome is included below as attachment. The values of x = 8 and x = -3 are the x-intercepts of this equation, that is, values of x such that y is equal to zero. Algebraically speaking, both are roots of the second-order polynomial.

The width of the archway ([tex]d[/tex]) is the distance between both intercepts, which is obtained by the following calculation:

[tex]d = |x_{1}-x_{2}|[/tex], where [tex]x_{1} \geq x_{2}[/tex].

If [tex]x_{1} = 8[/tex] and [tex]x_{2} = -3[/tex], then:

[tex]d = |8-(-3)|[/tex]

[tex]d = 8 +3[/tex]

[tex]d = 11[/tex]

The width of the archway is 11 units.

Answer:

[tex] csc (R) = \frac{13}{12} [/tex]

Step-by-step explanation:

Formula for any given angle (Ѳ) is given as csc Ѳ = length of hypotenuse side//length of opposite side. It is the inverse of sin Ѳ.

In the right triangle given above, the opposite length = 24, while the length of the hypotenuse = 26

Thus,

[tex] csc (R) = \frac{hypotenuse}{opposite} [/tex]

[tex] csc (R) = \frac{26}{24} [/tex]

[tex] csc (R) = \frac{26}{24} [/tex]

[tex] csc (R) = \frac{13}{12} [/tex]

Answer:

Step-by-step explanation:

After reflection about y-axis, A'B'C' must be translated down 6 units to create image DEF.

ABC and DEF are congruent due to the following common properties of reflections and translations.

1. does not change the nature of geometric elements, i.e. maps a line to a line,  a segment to a segment, etc.

2. preserve lenths of segments.

3. preserves angles

By the congruent theorem of SSS, the two triangles are congruent.

The sequence of transformations that proves the triangles congruent is explained in the solution below.

The geometric transformation is a bijection of a set that has a geometric structure by itself or another set. If a shape is transformed, its appearance is changed.

After reflection about y-axis, A'B'C' must be translated down 6 units to create image DEF.

ABC and DEF are congruent due to the following common properties of reflections and translations.

It does not change the nature of geometric elements, i.e. maps a line to a line, a segment to a segment, etc., preserve lengths of segments, and preserves angles.

By the congruent theorem of SSS, the two triangles are congruent.

Learn more about transformation, click;

https://brainly.com/question/11709244

#SPJ3

Answer:

1808 people

Step-by-step explanation:

Find 1% by dividing by 100.

1600/100=16

Multiply 16 by 13.

208

Add it to 1600.

1808

There are now 1808 people.

12/31/2020: During 2020, $10,000 in accounts receivable were written off. At the end of the second year of operations, Yolandi Company had $1,000,000 in sales and accounts receivable of $400,000. XYZ's management has estimated that $17,000 in accounts receivable would be uncollectible.

For the end of 2020, after the adjusting entry for bad debts was journalized, what is the balance in the following accounts:

Bad debt expense: Allowance for doubtful accounts:

For the end of 2020, what is the company's net realizable value?

Answer:

Bad debt expense  = $17000

Allowance for doubtful accounts = $17000

Company's net realizable value of accounts receivable at end of 2020 is

= $383,000

Step-by-step explanation:

From the information given :

Accounts written off in 2020 = $10,000

Accounts receivable expected to be uncollectible = $17,000

The Bad debt expense and Allowance for doubtful accounts can be computed as follows:

12/31/2020

Adjustment entry :

                                                           Debit                              Credit

Bad debt expense                             $17000

Allowance for doubtful accounts                                             $17000

Company's net realizable value of accounts receivable at end of 2020 = Closing accounts receivables - Allowance for Doubtful accounts =

Company's net realizable value of accounts receivable at end of 2020 is:

= $400,000 - $17,000

= $383,000

Answer:

A. Inverse variation

B. Direct variation

C. Direct variation

D. Inverse variation

Hope this helps you

Answer:

The car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

Step-by-step explanation:

Let be [tex]d(s) = 0.0056\cdot s^{2} + 0.14\cdot s[/tex], where [tex]d[/tex] is the stopping distance measured in metres and [tex]s[/tex] is the speed measured in kilometres per hour. The second-order polynomial is drawn with the help of a graphing tool and whose outcome is presented below as attachment.

The procedure to find the speed related to the given stopping distance is described below:

1) Construct the graph of [tex]d(s)[/tex].

2) Add the function [tex]d = 7\,m[/tex].

3) The point of intersection between both curves contains the speed related to given stopping distance.

In consequence, the car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

Answer:

  2.86 seconds

Step-by-step explanation:

A graphing calculator shows the ball hits the ground at t = 2.86 seconds.

_____

You can use the quadratic formula with a=-16, b=45, c=2:

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-45\pm\sqrt{45^2-4(-16)(2)}}{2(-16)}=\dfrac{45\pm\sqrt{2153}}{32}\approx\{-0.0438,2.8563\}[/tex]

The ball is in the air for about 2.86 seconds.

Answer:

27cm

Step-by-step explanation:

Given the following :

Triangle A:

Shortest side = 12cm

Area of triangle = 8cm^2

Triangle B:

shortest side =?

AREA of triangle = 18cm^2

If triangle A and B are similar :.

Area A / Area B = Length A / length B

8cm^2 / 18 = 12 / length B

Cross multiply :

8cm * Length B = 18 × 12

Length B = 216 / 8

Length B = 27

Therefore, the shortest of the other triangle IS 27cm

Answer:

its A C and E hope this helps

Step-by-step explanation:

Answer:

The function graphed below is [tex]x = y^{2} - 2[/tex] or [tex]y = \pm \sqrt{x+2}[/tex].

Step-by-step explanation:

The graph represents a second order polynomial function (a parabola), whose axis of symmetry is the x-axis and whose form is presented as follows:

[tex]x - h = C\cdot (y-k)^{2}[/tex]

Where:

[tex]x[/tex], [tex]y[/tex] - Dependent and independent variable, dimensionless.

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex, dimensionless.

[tex]C[/tex] - Vertex constant, dimensionless. If [tex]C > 0[/tex], then vertex is an absolute minimum, otherwise it is an absolute maximum.

After a quick observation, the following conclusions are done:

1) Vertex is an absolute minimum ([tex]C > 0[/tex]) and located at (-2, 0).

2) Parabola pass through (2, 2).

Then, the value of the vertex constant is obtained after replacing all known values on expression prior algebraic handling: ([tex]x = 2[/tex], [tex]y = 2[/tex], [tex]h = -2[/tex], [tex]k = 0[/tex])

[tex]2+2 = C\cdot (2-0)^{2}[/tex]

[tex]4 = 4\cdot C[/tex]

[tex]C = 1[/tex]

The function is:

[tex]x = -2 + 1\cdot y^{2}[/tex]

[tex]x = y^{2}-2[/tex]

The inverse function of this expression is [tex]y = \pm \sqrt{x+2}[/tex]

The function graphed below is [tex]x = y^{2} - 2[/tex] or [tex]y = \pm \sqrt{x+2}[/tex].

Answer:

Reflect across the y-axis, stretch the graph vertically by a factor of 3

Step-by-step explanation:

The question has certain errors, in fact the functions are the following:

g (x) = 3 * (2) ^ - x

f (x) = 2 ^ x

The transformation that we can do to obtain the translated graph, Are given in 2 steps, which are the following:

1. When x is replaced by -x, then it reflects the graph on the y axis.

2. 3 multiplies with the function, it means that it stretches the main function vertically in 3 units.

So to summarize it would be: Reflect across the y-axis, stretch the graph vertically by a factor of 3

Answer:

[tex]x=37\,\sqrt{2}[/tex]

Step-by-step explanation:

Notice you are dealing with a right angle triangle, since one of the angles measure [tex]90^o[/tex]. Now, what you are asked to find is the hypotenuse of that triangle, given an angle of [tex]45^o[/tex] and the opposite side: 37 units. Then, we can use for example the sine function which relates opposite, and hypotenuse:

[tex]sin(45^o)=\frac{opposite}{hyp} \\hyp=\frac{opposite}{sin(45^o)} \\hyp=\frac{37}{\sqrt{2}/2}\\hyp=37\,\sqrt{2}[/tex]

Answer:

Below

Step-by-step explanation:

● a^(-2) *b^3

●(1/a^2) *b^3

● b^3 / a^2

First solve for y in [tex]2x - 3y \le 12[/tex] to get [tex]y \ge \frac{2}{3}x-4[/tex]. The inequality sign flips because we divided both sides by a negative value.

To graph [tex]y \ge \frac{2}{3}x-4[/tex] we need to graph the boundary line y = (2/3)x - 4. This line has a y intercept of (0,-4) and another point on the line is (6,0).

Draw a solid line through (0,-4) and (6,0). The boundary line is solid because of the "or equal to" part of the inequality sign. The last part is to shade above the boundary line because of the "greater than" sign in [tex]y \ge \frac{2}{3}x-4[/tex].

---------------

As for graphing y < -3, we draw a horizontal dashed line through -3 on the y axis. The line is dashed because there is no "or equal to" here. We do not include boundary points as part of the solution set. Shade below this dashed line due to the "less than" sign.

---------------

After doing both of these things on the same xy grid, you'll get something that looks like choice C. I'm assuming choice C has a dashed line for the red region.

The graph is image 2. (last option)

We first draw the lines 2x - 3y = 12 and y=-3. Image 1.

For 2x - 3y ≤ 12

or, 2x - 12 ≤ 3y

or, 3y ≥ 2x - 12

or, y ≥ (2x - 12)/3

we shade upwards.

For y < - 3 we shade below.

So the graph is image 2.

Learn more: https://brainly.com/question/8806877

Answer:

-2

Step-by-step explanation:

The coordinate of a point that divides a line AB in a ratio a:b from A([tex]x_1,y_1[/tex]) to B([tex]x_2,y_2[/tex]) is given by the formula:

[tex](x,y)=(\frac{bx_1+ax_2}{a+b} ,\frac{by_1+ay_2}{a+b} )=(\frac{a}{a+b}(x_2-x_1)+x_1 ,\frac{a}{a+b}(y_2-y_1)+y_1 )[/tex]

Given that a line JK, with  Point J is at ( -6, - 2) and point K is at point (8, - 9) into a ratio of 2:5. The x coordinate is given as:

[tex]x=\frac{2}{2+5} (8-(-6))+(-6)=\frac{2}{7}(14) -6=4-6=-2[/tex]

Line segments can be divided into equal or unequal ratios

The x coordinate of the segment is -2

The coordinates of points J and K are given as:

[tex]J = (-6,-2)[/tex]

[tex]K = (8,-9)[/tex]

The ratio is given as:

[tex]m : n =2 : 5[/tex]

The x-coordinate is then calculated using:

[tex]x = (\frac{m}{m + n }) (x_2 - x_1) + x_1[/tex]

So, we have:

[tex]x = (\frac{2}{2 + 5 }) (8 - -6) -6[/tex]

[tex]x = (\frac{2}{7}) (14) -6[/tex]

Expand

[tex]x = (2) (2) -6[/tex]

Open bracket

[tex]x = 4 -6[/tex]

Subtract 6 from 4

[tex]x = -2[/tex]

Hence, the x coordinate of the segment is -2

Read more about line ratios at:.

brainly.com/question/14382744

Answer:

Step-by-step explanation:

Let x represent the number of cases of 16-oz cups produced.

Let y represent the number of cases of 20-oz cups produced.

The limitation imposed by available production time is ...

  x + y ≤ 15·8 = 120 . . . . maximum number of cases produced in a day

The limitation imposed by raw material is ...

  14x +18y ≤ 1800 . . . . . maximum amount of resin used in a day

__

The point of intersection of the boundary lines for these inequalities can be found using substitution:

  14(120- y)+18y = 1800

  4y = 120 . . . . . subtract 1680, simplify

  y = 30

  x = 120 -30 = 90

This solution represents the point at which production will make maximal use of available resources. It is one boundary point of the "feasible region" of the solution space.

__

The feasible region for the solution is the doubly-shaded area on the graph of these inequalities. It has vertices at ...

  (x, y) = (0, 100), (90, 30), (120, 0)

The profit for each of these mixes of product is ...

  (0, 100): 25·0 +20·100 = 2000

  (90, 30): 25·90 +20·30 = 2850 . . . . uses all available resources

  (120, 0): 25·120 +20·0 = 3000 . . . . maximum possible profit

The family can maximize their profit by producing only 16-oz cups at 120 cases per day.

Answer:

90 16-oz cases and 30 20-oz cases will maximize resin and time use

120 16-oz cases will maximize profit

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

8+5+15+12+10= 50 / 5 = 10

Answer:

8

Step-by-step explanation:

The y-intercept (b) of the function is the point at which the line of the graph of the given values of the table above crosses the y-axis, for which x = 0.

To find the y-intercept of the function represented by the tables, recall the equation of a straight line which is given as:

y = mx + b

Where, m is the slope = (y2 - y1)/(x2 - x1)

b = the y-intercept we are to find

y and x could be any values of a point on the graph which is represented in the table of values.

First, let's find the slope (m):

Let's use any 2 given pairs of the values in the table above.

Using,

(1, 4), (2, 0),

y1 = 4,

y2 = 0

x1 = 1

x2 = 2

m = (0 - 4)/(2 - 1)

m = -4/1 = -4

=>Using, y = mx + b, let's find the y-intercept (b), taking any of the coordinate pairs from the table of values given.

Let's use, (1, 4) as our x and y values.

Thus,

4 = -4(1) + b

4 = -4 + b

Add 4 to both sides to solve for b

4 + 4 = -4 + b + 4

8 = b

y-intercept of the function represented by the table of values = 8

Question options :

a. They should be between 64 and 76 inches tall.

b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.

c. They should be at or below the 95th percentile, which is 74.92 inches.

d. None of the above.

Answer: a. They should be between 64 and 76 inches tall.

Step-by-step explanation:

Given the following :

Assume men's height follow a normal curve ; and :

Mean height = 70 inches

Standard deviation= 3 inches

According to the empirical rule ;

Assuming a normal distribution with x being random variables ;

About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.

Using the empirical rule :

95% will fall between + or - 2 standard deviation of the mean.

Lower limit = - 2(3) = - 6

Upper limit = 2(3) = 6

(-6+mean) and (+6+ mean)

(-6 + 70) and (6+70)

64 and 76

The range of height of adult males in U.S. using the 95% empirical rule is 64 to 76 inches

According to the given data

The mean height for adult males in the U.S. is about 70 inches

The standard deviation of heights is about 3 inches.

Considering the data to be normally distributed

According  to the empirical rule for normal distribution we can write that

95.45% of the data lies with in the range of

[tex]\rm \mu - 2\sigma \; to \; \mu +2\sigma\\\\where \\\mu = Mean\\\sigma = Standard \; deviation[/tex]

We have to to determine that  using the Empirical Rule 95% of adult males should fall into what height range

According to the given data

[tex]\rm \mu = 70\\\rm \sigma = 3 \\[/tex]

[tex]\rm Lower \; limit \; of \; the\; range \; of\; variation\; of \; height\; range = 70 - 2(3) = 64[/tex]

[tex]\rm Upper \; limit \; of \; the\; range \; of\; variation\; of \; height\; range = 70 +2(3) = 76[/tex]

So we can conclude that the range of height of adult males in U.S. using the 95% empirical rule is 64 to 76 inches

For more information please refer to the link given below

https://brainly.com/question/25394084

Answer:38

Step-by-step explanation:multiple

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

5+2=7

Answer: All three of the altitudes lie entirely outside the triangle.

Step-by-step explanation:

The orthocenter is the center of the triangle formed by creating all the altitudes of each side.  

The altitude of a triangle is formed by creating a line from each vertex that is perpendicular to the opposite side.  

In acute traingle , the orthocenter lies inside it.

In right angled triangle, the orthocenter lies on the triangle.

In obtuse triangle , the orthocenter lies outside the triangle because all the three altitudes meet outside .

So, the best explains why the orthocenter of an obtuse triangle is outside the triangle : All three of the altitudes lie entirely outside the triangle.

Answer: It’s A on edge