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gizmo_the_mogwai [7]

2 years ago

8

Question 9 (Essay Worth 10 points) (03.06 HC) Seth is using the figure shown below to prove Pythagorean Theorem using triangle s

imilarity. In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC. The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC. Part A: Identify a pair of similar triangles. (2 points) Part B: Explain how you know the triangles from Part A are similar. (4 points) Part C: If DB = 9 and DC = 4, find the length of segment DA. Show your work. (4 points)

1 answer:

mario62 [17]2 years ago

4 0

In the case above, the length of Angle DA is 6 and angle ABD ≈ Angle CAD.

<h3>What is the angle about?</h3>

Note that:

Δ ABC , A = 90

To find length of DA :

Let Δ ACB = x

So Δ ABC = 90 -x

For Δ ABC and ADC:

Δ ADB = Δ ADC (90°)

Δ ABD = Δ DAC (90 - x)

For Δ ABC ≈ ADC:

$\frac{AD}{DC} = \frac{BD}{AD}$

AD² = BD. CD.

AD²= 9 . 4

AD²= 36

AD = 6

Therefore, In the case above, the length of Angle DA is 6 and angle ABD ≈ Angle CAD.

Learn more about triangle from

brainly.com/question/17335144

#SPJ1

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5) Solve<br> 4x = x - 2<br> 5

taurus [48]

Answer:

x= -2/3

Step-by-step explanation:

4x-x=x-x-2

3x= -2

x= -2/3

6 0

3 years ago

Determine any data values that are missing from the table, assuming that the data represent a linear function.

Stells [14]

Answer:

Fill in the blank with 14

<em></em>

Step-by-step explanation:

Given

The attached table

Required

Fill in the gap

Since, the table represents a linear function.

The first step is to calculate the slope of the table

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (1,2)$

$(x_2,y_2) = (2,6)$

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{6 - 2}{2 - 1}$

$m = \frac{4}{1}$

$m=4$

The equation of the table is calculated next as:

$y - y_1 = m(x - x_1)$

This becomes

$y - 2 = 4(x - 1)$

$y - 2 = 4x - 4$

Solve for y

$y = 4x - 4+2$

$y = 4x -2$

To fill in the blank;

The value of x is 4

So, substitute 4 for x in $y = 4x -2$

$y = 4 * 4 - 2$

$y = 16 - 2$

$y = 14$

7 0

3 years ago

I REALLY NEED HELP!!!!!!!!!!!!

guajiro [1.7K]

Answer: 64 centimeters squared.

Step-by-step explanation: This shape is a parallelogram. And the area of a parallelogram is just the base multiplied by the height. Here, the base is 10 cm and the height is 7 cm. So you might think the the area is just 70 centimeters squared. But here's the catch. There is a rectangular region in this parallelogram that is not shaded. But you can still easily solve this problem. All you need to do is find the area of that rectangular region and you already know the length and the width of this region. And, remember, the area of a rectangle is just the length and the width multiplied. So here, the area of that rectangular region is just 2 cm multiplied by 3 cm. Which will give you 6 centimeters squared. Now, all that's left to do is subtract the area of that rectangular region, 6 centimeters squared, from the total area of the parallelogram, 70 centimeters squared. And that should give you 64 centimeters squared as your final answer. I really hope this makes sense and is helpful.

8 0

3 years ago

"A sample of 30 randomly selected oranges was taken from a large population, and their diameters were measured. The mean diamete

Yuki888 [10]

Answer:

The lower bound of the interval is 88.9mm and the upper bound is 93.1mm.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.85}{2} = 0.075$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.075 = 0.925$ , so $z = 1.44$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.44*\frac{8}{\sqrt{30}} = 2.1$

The lower end of the interval is the sample mean subtracted by M. So it is 91 - 2.1 = 88.9mm.

The upper end of the interval is the sample mean added to M. So it is 91 + 2.1 = 93.1 mm

The lower bound of the interval is 88.9mm and the upper bound is 93.1mm.

6 0

3 years ago

Is 12.89 irrational

STatiana [176]

No. It's the ratio of 1,289 to 100 .

Also, it can be written as a fraction with whole numbers
on top and bottom, like this: 1289 / 100 .

Also, it can be written down on paper completely, using
digits and a decimal point or fraction bar. (You did that.)

Any one of these three facts makes it a rational number.

7 0

4 years ago