Can someone help me with both of these? You can answer only one, however, If you answer both that is who gets brainliest. don't answer just to take my points or you will get reported.

Answer:

d

Step-by-step explanation:

The ΔDGF and ΔABC can be proven similar through SSS similarity. Therefore, option D is the correct answer.

We need to find which of the given pairs of triangles can be proven similar through SSS similarity.

If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.

Now, form option D.

DF/AB=DG/AC=FG/BC

⇒8/2=10/2.5=11/2.75

⇒4=4=4

Thus, ΔDGF and ΔABC are similar.

Therefore, option D is the correct answer.

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Answer:

Step-by-step explanation:

1. y =25x

2. answer : 250

3.independent is n and dependent is v

Answer:

16 for the first one. each segment is 4

40 for the second. each segment is 8

Answer:

0, 4, 8, 12, 16

8, 16, 24, 32, 40, 48

Step-by-step explanation:

The first number line has 6 parts. 24÷6=4. Each vertical line will increase by 4.

So starting at 0, the parts of the number line are:

0, 4, 8, 12, 16, 20, 24

The specific part being asked for is 0, 4, 8, 12, 16

The second number line has 8 parts. 64÷8=8. Each vertical line will increase by 8.

Starting at 0, the parts of the number line are:

0, 8, 16, 24, 32, 40, 48, 56, 64

The specific part being asked for is 8, 16, 24, 32, 40, 48

Answer:

7/2=3.5 each of them got 3 and half

Answer:

20%

Step-by-step explanation:

The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:

P(red) = number of red marbles / total number of marbles

P(red) = 5 / (5 + 8 + 12)

P(red) = 5 / 25

P(red) = 0.2

So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).

Answer:

39.39%

Step-by-step explanation:

There's a nice little formula that is used to find percentage change which works regardless of if it's an increase or decrease.

\(Percent~Change = |\frac{New~Value~-~Original~Value}{Original~Value}| * 100\)

1 - Understanding the equation

The '|'s which are surrounding the fraction are absolute value symbols in mathematics,

Absolute value means the positive value of anything inside

Examples:

| -8 | = 8

| 8 |  = 8

and

| -2 | = 2

| 2 |  = 2

the * 100 means you multiply (the * symbol means multiply) by 100.

We do this to get it into a percent.

3 - Assign numbers to the values from our equation

Original Value (What it changed from): 330

New Value (What it changed to): 200

3 - Plug in our values into our variables from our equation\(Percent~Change = |\frac{200-330}{330}| * 100 = |\frac{-130}{330}| = = |-0.39...| * 100 = 0.3939... *100 =\)

Our percent change is 39.39%, and with our percent in which is discounted being the same, we have our answer.

Hope this helps :)

Answer:

\(h( - 5) = 1 \\ h(2) = 4 \\h(5) = 1\)

The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

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

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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Answer:

The answer is Add 2x to both sides of the equation

Step-by-step explanation:

Answer:

0.33

Step-by-step explanation:

Because you have 2 apples that weigh 0.33 pounds you gain 2 from your parents then give 2 to your friends so you have 2 left or....0.33 pound left.

Hope this helps☺️

Combine like terms:

-5u + 5u = 0

The you are left with just -8

Answer: -8

Answer:

-8

Step-by-step explanation:

-5u+5u-8=(-5+5)u-8

=(0)u-8

=-8

Answer:

Please check explanations for answer to the question

Step-by-step explanation:

The exponential relation can generally be represented as ;

y = I (1 + x)^n

where I is the initial value

1 + x represents the growth rate

n represents the time such as number of years

y represents the value after n count

a) The value 1200 represents the initial count of bacteria in the study

b) 1.8 represents the growth rate of the bacteria population in the culture

c) 1000 represents the initial bacteria population in the second function

The difference mean that the initial population in the first case study is greater than what we have in the second function

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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Step-by-step explanation:

what is meant by "distance" ?

ground distance (using the roads to get there), or air distance (line of sight) ?

I have to assume we mean air distance, as the ground distance is the same in both cases (500 ft + 750 ft = 1250 ft).

for the air distance we need to use Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle), and a and b being the legs.

Zana to Tan = AB

FB² = FA² + AB²

750² = 500² + AB²

562,500 = 250,000 + AB²

312,500 = AB²

AB = 559.0169944... ft

Theresa to Ivy = CE

CE² = CF² + FE²

CE² = 500² + 750² = 250,000 + 562,500 =

= 812,500

CE = 901.3878189...

so, the distance from Theresa to Ivy is longer.

Answer:

55.11% probability that the mean life a random sample of 9 such blenders falls between 4.5 and 5.1 years.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\(\mu = 5, \sigma = 1, n = 9, s = \frac{1}{\sqrt{9}} = 0.3333\)

Find the probability that the mean life a random sample of 9 such blenders falls between 4.5 and 5.1 years.

This is the pvalue of Z when X = 5.1 subtracted by the pvalue of Z when X = 4.5. So

X = 5.1

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{5.1 - 5}{0.3333}\)

\(Z = 0.3\)

\(Z = 0.3\) has a pvalue of 0.6179

X = 4.5

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{4.5 - 5}{0.3333}\)

\(Z = -1.5\)

\(Z = -1.5\) has a pvalue of 0.0668

0.6179 - 0.0668 = 0.5511

55.11% probability that the mean life a random sample of 9 such blenders falls between 4.5 and 5.1 years.

Answer: 4b^6

Remember if theres a bracket you multiply the power instead of adding

For example if it was 2b^3 x 2b^2 then the answer would be 4b^5 instead according to indices law, read up on it if you havent yet itll help a bunch! :)

Answer:

n = -5 or -6

Step-by-step explanation:

\(n^2+ 11n + 30 = 0\)

Lets factorise the quadratic equation :-

→ Lets split the middle term of the equation.

\(=> n^2 + 5n + 6n + 30 = 0\)

→ Lets take 'n' common from the first 2 terms & '6' common from last 2 terms.

\(=> n(n + 5) + 6(n + 5) = 0\)

→ Lets take (n + 5) whole in common from the equation.

\(=> (n + 5)(n + 6) = 0\)

Here , we get 2 values of n :-

1) \(n + 5 = 0\)

\(=> n = -5\)

2) \(n + 6 = 0\)

\(=> n = -6\)

∴ Hence , n = -5 or -6

Answer:

The answer is A.

Answer: 2

Step-by-step explanation: 12 x 3 first becuase pemdas

Answer:

Yankees = 27

Dodgers = 6

Step-by-step explanation:

Looks like we may need to make 2 equations

Let Y be Yankees and D be Dodgers

.

Y + D = 33

Y = 4D + 3

Let's take the first equation and solve for D

D = 33 - Y

Now we can plug it into equation 2

Y = 4(33-Y)+3

Y = 132 - 4Y + 3

Y = 135 - 4Y

Adding the 4Y to the other side

5Y = 135

And lastly dividing the 5Y, we get that Y = 27

Yankees has 27 championships

Since both had 33, All we do is 33-27 and we see D had 6

Answer:

J+11=M

Step-by-step explanation:

What ever age MAcy is Josie is 11 years older than Macy I think the equation is correct sometimes  I struggle with those.

Answer:

Step-by-step explanation:

Given that:

Mean μ= 100

standard deviation σ = 2.6

sample size n = 9

sample mean X = 100.6

The null hypothesis and the alternative hypothesis can be computed as follows:

\(H_o : \mu \leq 100\)

\(H_1 :\mu > 100\)

The numerical value for the test statistics is :

\(z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}\)

\(z = \dfrac{100.6- 100}{\dfrac{2.6}{\sqrt{9}}}\)

\(z = \dfrac{0.6}{0.8667}\)

z = 0.6923

At  ∝ = 0.05

\(t_{\alpha/2 } = 0.025\)

The critical value for the z score = 0.2443

From the z table, area under the curve, the corresponding value which is less than the significant level of 0.05 is 1.64

P- value =  0.244

c> If the true population mean is 101.3 ;

Then:

\(z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}\)

\(z = \dfrac{101.3- 100.6}{\dfrac{2.6}{\sqrt{9}}}\)

\(z = \dfrac{0.7}{0.8667}\)

z = 0.808

From the normal z tables

P value  =  0.2096

Unit rate is a ratio between two different units with a denominator of one. When we divide a fraction's numerator by its denominator, the result is a value in decimal form. For example: 8/4 = 2 and 3/6 = 0.5. When we write numbers in decimal form, we can write them as a ratio with one as the denominator.

For example, we can write 2 as 2/1, and 0.5 as 0.5/1. However, since that approach can be a little clumsy, we usually drop the one. That said, it's important to remember the one is there, especially when working with unit rates.

For instance, 8 miles/4 hours = 2 miles/hour. Notice again that, while we did not include the 1, we did include the unit 'hour' Miles per hour is a familiar expression, as are unit rates such as:

interest/amount invested

revolutions/minute

salary/year

Conversationally, the word ''per'' indicates we are using a unit rate.

Answer: - 21/16 = 15/16 (simplified)

= - 1.3125 convert decimal to fraction

= - 13125/10000

= - 21/16 = 15/16  (simplified)

Answer:

Step-by-step explanation:

You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.

Newton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...

  T = 36 -26·(22/26)^(t/2)

At times of t=4 and t=9, the temperature readings will be ...

__

Additional comment

The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.

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The area of a circle is pi x r^2

Area of full circle: 3.14 x 11^2

Area = 379.94 square miles.

To find the area of the bounded arc, multiply the full area by the fraction of a full circle the arc is:

379.94 x 300/360 = 316.62 square miles

Answer:

316.62 miles²

Step-by-step explanation:

Area of circle = 3.14 ×  r²

3.14 × 11²

= 379.94 (area of whole circle)

We need to find the area of the blue shaded sector.

300/360 × 379.94

= 316.62

Answer:

His trip home was at an average speed in miles per hour of

 (276 miles)/(6.5 hours) = 42.46 miles per hour

His speed on the way home was about 19.5 mph less, or about 68% of his speed to LA.

Step-by-step explanation: hope this helps