Point A is the point of concurrency of the angle bisectors of ΔDEF.
Point A is the point of concurrency of triangle D E F. Lines are drawn from each point of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. The length of F A is 6 centimeters, the length of A D is 5 centimeters, the length of A X is 3 centimeters, and the length of Y D is 4 centimeters.

What is the length of ZA?
ZA = 3cm
ZA = 4cm
ZA = 5cm
ZA = 6cm

Answer:

AB = 4

BC = 4

AC = 8

Step-by-step explanation:

Given, B is the midpoint of AC which means it divided the AC into two equal parts. Using this information we can write the following equation:

5x - 6 = 2x add 6 to both sides

5x = 2x + 6 subtract 2x from both sides

3x = 6 divide both sides by 3

x = 2 to find the length of AB, AC, and BC replace x with 2

AB = 5*2 - 6

BC = 2*2

AC = 8 (sum of AB and BC)

[tex]\huge \boxed{\sf x=2}\\\\\huge \boxed{\sf AB=4}\\\\\huge \boxed{\sf BC=4}\\\\\huge \boxed{\sf AC=8}[/tex]

[tex]\displaystyle \sf AB=BC\\\\5x-6=2x\\\\Subtracting\ 2x\ and\ adding\ 6\ to\ each\ side \\\\5x-6+6-2x=2x-2x+6\\\\5x-2x=6\\\\3x=6\\\\Divide\ each\ side\ by\ 3\\\\\frac{3x}{3} =\frac{6}{3} \\\\x=2[/tex]

[tex]\sf Substituting\ x=2\\\\AB=5(2)-6=10-6=4 \\\\BC=2(2)=4\\\\AC=AB+BC=4+4=8[/tex]

Answer:

Hence the expression [tex]$$(3r-8)(11r+1)=33r^2-85r-8$$[/tex].

Step-by-step explanation:

Explanation

[tex]$$\frac{\begin{matrix}{} & {} & 3r & - & 8 \\ \times & {} & 11r & + & 1 \\ \end{matrix}}[/tex]

___________

[tex]{\frac{\begin{matrix}{} & {} & 3r & - & 8 \\ 33{{r}^2} & - & 88r & {} & {} \\ \end{matrix}}{\begin{matrix}33{{r}^2} & - & 85r & - & 8 \\ \end{matrix}}}$$[/tex]

Answer:

It will triple in approximately 48 years.

Step-by-step explanation:

t=30*ln3/ln2=30*1.5849= 48 years (approx.)

Answer:

Step-by-step explanation:

to be honest, I have no idea what topic this is anymore but to solve it plug in 5 for f(x) and then use -3 for x and then simplify for B.

Using the latest observation in a sequence of data to forecast the next period is a naïve forecast. Option C

What is a  naïve forecast?

A naïve forecast is a forecasting technique in which the last sequence of data are used for the next period's forecast without predictions or adjusting the factors that could affect it.

Forecasts that are  produced using a naïve approach are equivalent to the final observed value gotten.

Thus, using the latest observation in a sequence of data to forecast the next period is a naïve forecast

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Fractions are written as the ratio of two integers. The sum of 5 3/10 and 2 1/5 is 7 1/2

Fractions are written as the ratio of two integers. Given the following expression

5 3/10 + 2 1/5

convert the mixed into improper fraction

53/10 + 11/5

Find the LCM

53+22/10

75/10

7.5

Hence the sum of 5 3/10 and 2 1/5 is 7 1/2

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Answer:

$54.30

Step-by-step explanation:

Given Total Donations already raised

= $30.20 + $10.50 + $5.00

= $45.70

Donations still required = Total Donations needed - Donations already raised

= $100 - $45.70 = $54.30

Applying the centroid theorem, the length of BO is: A. 2.2.

Based on the centroid theorem, the length of BO equals two third of the length of BY.

That is:

BO = 2/3(BY)

Plug in the values

BO = 2/3(3.3)

BO = 2.2.

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Answer:

3 mph

Step-by-step explanation:

So the average speed is simply: [tex]\frac{distance}{time}[/tex]. In case, the total time is 25 minutes + 55 minutes which is a total of 80 minutes, or 1.33 hours. The total distance traveled is two miles + two miles, since he jogged two miles to the park, and then he turns around and walks the same path. So in total he traveled 4 miles. Plugging this in to the formula gives you the equation: [tex]\overline{v}=\frac{4 \text{ miles}}{\frac{4}{3}\text {hours}}=\frac{4\text{ miles}}{1}*\frac{3}{4}\text{ hours} = 3mph[/tex]

The required ratio is give by $40/m, 4 miles/min, 30 mile/liter. .

Let, just assume a vehicle is given an economy of $280 of 7m.

The ratio can be defined as the comparison of the fraction of one quantity towards others. E.g.- water in milk.

Now,
The ratio can be given as for economy = 280/7
=  $40/m

here for new values,
suppose the vehicle travel for 40miles in 10 mins
ratio = 40/10= 4 miles/min
and vehicle consumes 2 liter fuel on 60 miles of distance ratio can be given as
ratio = 60/2 = 30 mile/liter.

Thus the required ratios can be given as $40/m, 4 miles/min, 30 mile/liter.

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Answer:

1

Step-by-step explanation:

f(x) = x² - 8x - 4 ← is in standard form

with leading term x² and so

leading coefficient is the coefficient of the x² term, that is 1

Using it's concept, it is found that the graph has no horizontal asymptote.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, we have that:

Thus, the graph has no horizontal asymptote.

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Answer: (2;-9).

Step-by-step explanation:

[tex]\left \{ {{2x-y=13\ |*(-3)} \atop {6x+5y=-33}} \right. \ \ \ \ \left \{ {{-6x+3y=-39} \atop {6x+5y=-33}} \right. .\\Summing\ up\ these\ equations:\\8y=-72\ |:8\\y=-9.\\2x-(-9)=13\\2x+9=13\\2x=4\ |:2\\x=2.[/tex]

Answer:

Step-by-step explanation:

add all sides, the top is the same as the bottom, (the side of 6 must be counted only once).

[2 * ( 18 + 3 + 7)] + 6 =  

(2 * 28) + 6  =

56 + 6 =

62

62 m is the parameter of the given figure.

The perimeter of a two-dimensional form is the space surrounding it. It represents the total length of the shape's sides. The units used to measure the sides of the form, such as meters, centimeters, inches, or feet, determine the units used to measure the perimeter.

In a statistical context, parameters often refer to the unknown values of a probability distribution. In this case, parameters can be estimated using statistical methods such as maximum likelihood estimation or Bayesian inference.

Add all sides, the top is the same as the bottom, (the side of 6 must be counted only once).

[2 * ( 18 + 3 + 7)] + 6 =  

(2 * 28) + 6  =

56 + 6 =

62

The perimeter of the given arrow is 62 m.

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1/3 of the volunteers can complete the 8-hour workday

Total number of volunteers = 10

If it takes 1 volunteer = 24 hours = 1 day

It would take x number of volunteers = 8 hours

To find 'x' , cross multiply

We have,
x * 24 hours = 8 hours * 1

24x = 8

Make 'x' the subject of formula

x = 8/ 24

x = 1/3

Therefore, 1/3 of the volunteers can complete the 8-hour workday

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The graph is shown in the attached image.

Answer:

The answer is C

Step-by-step explanation:

it is C because parallel lines don't intercept the go up or across but they don't touch, just imagine it isn't graphed.

The other equality which must be stated by Jose is that angles BAC and BAE are congruent and their measures are equal.

It follows from the task content that Jose is trying to prove the congruence of both triangles by means of the Side-Angle-Side congruence theorem.

It therefore follows that since, Jose has identified that the ratio of corresponding sides are equal as indicated in the task content, the equality which Jose has to state is the angle congruence equality.

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Answer:a. angle A= angle A

Step-by-step explanation: i took edg

Answer:

87 grade

Step-by-step explanation:

if yo add a 10% overall grade to you 79.43 you will get an 87.373

79.43 x 10% = 7.943 (points added bc of your 10%added)

79.43 + 7.943 = 87.373

round it and you'll have 87 overall grade

Answer:

(3,-2)

Step-by-step explanation:

See attached image.

The length of the blue ribbon given the length of red ribbon is 8 inches

length of blue ribbon = 2/3 of red ribbon

= 2/3 × 12

= (2×12)/3

= 24/3

= 8 inches

Let

3x = 15

x = 15/3

x = 5 books

Therefore, the number of books Mai has is 5 books

Complete question:

The length of the blue ribbon is two-thirds the length of the red ribbon. How long is the blue ribbon if the red ribbon is 12 inches?

Tyler has 3 times as many books as Mai. How many books does Mai have if Tyler has 15 books?

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Answer:

Points shouldn't be connected by straight lines but rather a curve

Step-by-step explanation:

None of the points seem to be incorrect, and the x and y-axis are labeled correctly as well as the points, the only issue I would say there is, is that this is a quadratic equation, so Brogan shouldn't be drawing straight lines between points, but rather a curve.

Answer: 400 520<15x+400x 15x+400>520

Step-by-step explanation:

By using the definition of second order polynomials and the discriminant from quadratic formula, we conclude that the values of k must be less than 1/4.

In this question we must determine the set of values of k such that the function g(x), a linear function, intersects a quadratic function f(x) at two points. In this case, we must solve the following second order polynomial:

k · x² + 4 · x - 3 - g(x) = 0

k · x² + 4 · x - 3 - 2 · x + 7 = 0

k · x² + 2 · x + 4 = 0

In this case, the discriminant of the equation described above must be positive:

2² - 4 · k · 4 > 0

4 - 16 · k > 0

4 > 16 · k

16 · k < 4

k < 1/4

By using the definition of second order polynomials and the discriminant from quadratic formula, we conclude that the values of k must be less than 1/4.

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Probability helps us to know the chances of an event occurring. There are 8 different scenarios possible.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

For the given word SANDWICH, there are 8 different scenarios possible, which can be represented as shown below.

Hence, there are 8 different scenarios possible.

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Answer:

5

Step-by-step explanation:

Original equation:

[tex]7(2)^x=224[/tex]

Divide both sides by 7

[tex]2^x=32[/tex]

Rewrite in log

[tex]log_232=x[/tex]

You can do mental math to realize this equals 5, or plug this into your calculate (if it allows you to set the base), but if you can't do either, you can use the change of base formula:

[tex]log_ba=\frac{log (a)}{log(b)}[/tex]

You get:

[tex]log_232=\frac{log(32)}{log(2)}[/tex]

When you calculate using a calculator you should get 5

Answer: x = 5

Step-by-step explanation:

[tex]7(2)^x=224[/tex]

start by dividing 7 from both sides

[tex]\frac{7(2)^x}{7} =\frac{224}{7}[/tex]

[tex]2^x=32[/tex]

take the log of both sides

[tex]log(2^x) = log(32)[/tex]

move the x to the left of the log

[tex]xlog(2) = log(32)[/tex]

divide both sides by log(2)

[tex]x=\frac{log(32)}{log(2)}[/tex]

use change-of-base formula

[tex]\frac{log(a)}{log(b)} =logx_{b} (a)[/tex]

[tex]x = log_{2} (32)[/tex]

since [tex]2^5 = 32[/tex], x = 5

Answer:

3,4 and 5 is the ratio between the sides of a right triangle, therefore also the multiples (6-8-10 .... 9-12-15 etc.)

Step-by-step explanation:

3,4 and 5 is the ratio between the sides of a right triangle, therefore also the multiples (6-8-10 .... 9-12-15 etc.)

The values of x, EF, and FG from the line segment are 10, 8 and 15 respectively.

An equation is an expression that shows the relationship between two or more numbers and variables.

EG = EF + FG (segment addition postulate)

Hence:

23 = (2x - 12) + (3x - 15)

x = 10

EF = 2(10) - 12 = 8

FG = 3(10) - 15 = 15

The values of x, EF, and FG from the line segment are 10, 8 and 15 respectively.

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