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2 years ago

Identify the similar triangles in the figure, then find the value of x.

Mathematics

1 answer:

-BARSIC- [3]2 years ago

6 0

Answer:

Part a) ABD and CDE are similar by AA Similarity Postulate

Part b) $x=18\ units$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

In this figure Triangles ABD and CDE are similar by AA Similarity Postulate

$\frac{AB}{ED}=\frac{BD}{CD}$

substitute the values

$\frac{x}{6}=\frac{12}{4}$

$x=6*12/4=18\ units$

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a farmer is trying to determine the proper amounts of two fertilizers for her corn crop. She wants to use a total of 300 pounds

8090 [49]

Answer:

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Step-by-step explanation:

6 0

2 years ago

The average size of 8 farms in Indiana County, Pennsylvania, is 191 acres with standard deviation of 38 acres. The average size

Grace [21]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. it is a two-tailed test. Let μ1 be average size of farms in Indiana County, Pennsylvania and μ2 be the average size of farms in Greene County, Pennsylvania.

The random variable is μ1 - μ2 = difference in the average size of the farms in Indiana County and the average size of the farms in Greene County.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 191

μ2 = 199

s1 = 38

s2 = 12

n1 = 8

n2 = 10

t = (191 - 199)/√(38²/8 + 12²/10)

t = - 0.57

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [38²/8 + 12²/10]²/[(1/8 - 1)(38²/8)² + (1/10 - 1)(12²/10)²] = 37986.01/4677.36142857143

df = 8

We would determine the probability value from the t test calculator. It becomes

p value = 0.58

Let us assume a significance level of 0.05

Since alpha, 0.05 < than the p value, 0.58, then we would accept the null hypothesis. Therefore, at a significance level of 5%, there is not sufficient evidence to conclude that the average size of the farms in Indiana County and the average size of the farms in Greene County are different.

4 0

2 years ago

Y=2000e^{0.079x}<br> y=2000e <br> 0.079x

Kaylis [27]

Answer:

i dont get whats the question

Step-by-step explanation:

8 0

2 years ago

In the diagram, the measure of angle 3 is 105°. Which angle must also measure 105°? Angle1 Angle4 Angle6 Angle8

Lunna [17]

Answer:

option A is the right option.

Here,

<3=105°

<1=<3(being vertically opposite angles)

<1=105°

Explanation:

Please see the attached picture.

There,

<AOC and <BOD are formed by intersected line segments and they lie to the opposite side of common vertex.They are called vertically opposite angles.<AOD and <BOC are another pairs of vertically opposite angles. Vertically opposite angles are always equal.

Hope this helps..

Good luck on your assignment...

8 0

3 years ago

Find the area of the trapezoid by composing into rectangles or decomposing into triangles or other shapes as needed. Show your w

mash [69]

So I decided to make a visual aid for this problem.

All of the work is outlined in the image.

Your final answer is 109.

Hope that helps!

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3 years ago