Find the area of the triangle.
26 ft
44 ft
The area of the triangle is

Answer:

a

Step-by-step explanation:

To prove congruence

1 ∠ A ≅ ∠ C → given

2 ∠ DEA ≅ ∠ BEC → vertically opposite angles

3. AE ≅ EC → given

We then have 2 angles and the included side ( side between the 2 angles )

congruent in both triangles, thus Δ AED ≅ Δ CEB ( ASA postulate )

Zoes' error was in assuming ∠ DEA ≅ ∠ BEC was given

Zoe used an invalid reason to justify the congruence of a pair of sides or angles.

Option a is correct.

From given diagram it is observed that,

Line segment AD and CB are parallel and AC is transversal line. So that alternate angles A and C are equal.

                            [tex]\angle A=\angle C[/tex]

When two lines intersect at any point then vertically opposite angles are equal.

So that,          [tex]\angle DEA=\angle BEC[/tex]

Given that ,   [tex]AE=EC[/tex]

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Hence, both triangles are congruent to each other.

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Answer:

375

Step-by-step explanation:

9514 1404 393

Answer:

  A.  (4, 12)

Step-by-step explanation:

Adding the second equation to twice the first will eliminate y.

  2(10x +2y) +(3x -4y) = 2(64) +(-36)

  23x = 92 . . . . . . . . simplify

  x = 4 . . . . . . . . . divide by 23

This value matches choice A: (4, 12).

Answer:

V = 125 in^3

Step-by-step explanation:

A cube has 6 sides, and the area of each is equal to the side length squared:

A = 6x^2

A is given as 150 cm^2, and so is equal to 6x^2.  Thus, x = the side length = 5 cm.

The volume of the same cube is given by V = x^3, which here is 5^3 in^3, or V = 125 in^3

Answer:7ft

Step-by-step explanation:

i got it right

Answer:

94.2 ft of fencing

Step-by-step explanation:

To answer this, find the circumference, C, of the garden, using the circumference formula C = 2(pi)r.

Here, with r = 15 ft, we get C = 2(3.14)(15 ft) = 94.2 ft of fencing will enclose this garden.

Answer:

a. $311,555.26

b. $500,000

c. $188,444.74

Step-by-step explanation:

The computation is shown below:

a. Here we have to determine the present value

Given that

PMT = $25,000

NPER = 20

RATE = 5%

FV = $0

The formula is shown below:

= -PV(RATE;NPER;PMT;FV;TYPE)

after applying the above formula, the amount that need in the beginning is $311,555.26

b. The total money should be

= $25,000 × 20 years

= $500,000

c. The amount of interest is

= $500,000 - $311,555.26

= $188,444.74

9514 1404 393

Answer:

  x = y = (√10)/2

Step-by-step explanation:

In an isosceles right triangle, the side lengths are equal, and they are equal to (√2)/2 times the hypotenuse length.

  x = y = (√5)(√2)/2

  x = y = (√10)/2

Answer:

x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{\sqrt{2} }{2}[/tex]

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{\sqrt{5} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = [tex]\sqrt{10}[/tex] ( divide both sides by 2 )

x = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]

Since the base angles are 45° then the triangle is isosceles with both legs congruent , thus

x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]

Step-by-step explanation:

sorry i am unable to understand what it is asking but if you inform me more i would love to help

Answer:

Sabrina read 50 pages on the third day.

Step-by-step explanation:

Since Sabrina read a total of 185 pages in three days, and on the first day, she read 85 pages, while on the second and third days, she read the same amount, to determine how many pages did she read on the third day the following calculation must be performed:

(185 - 85) / 2 = X

100/2 = X

50 = X

Therefore, Sabrina read 50 pages on the third day.

Answer:

25/256

Step-by-step explanation:

(5/16) / (3 1/5)

(5/16) / (16/5)

(5/16) * (5/16)

5*5 / 16*16

25/256

Answer:

D). 10699

Step-by-step explanation:

D is right the math is hard to explain.

Answer:

The answer is 13.

Step-by-step explanation:

Angle ABC and PQR are equivalent, although angle PQR is just scaled down by a factor of 9. Line CA is 54, line PR is 6, 54/6=9. So, line PQ has to be equal to 9 because 81/9=9.  So you input all values into the expression until you get the product of 9.

Work: 2(13)-17=9, so 13 is your answer.

Answer:

I'm rusty on this but I believe:

the median is 54

the lower quartile = 16

the upper quartile is 72

Each shape is 1 whole. Estimate to divide each into equal parts (do not draw fourths). Divide each whole using a different fractional unit.

Images has been attached showing 3/4 of the shapes are squares.

Given that,
To draw a set of shapes where 3/4 of the shapes are squares.​

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

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

Here,
There are 3 squares and 1 nonregular quadrilateral, total = 4
the ratio of 3 squares to the total shapes = 3 / 4

Thus, Images has been attached showing 3/4 of the shapes are squares.

Learn more about congruent geometry here. https://brainly.com/question/12413243

#SPJ2

Answer: john answer it correctly

Step-by-step explanation:

6.6.6_=216

Answer:

f(-5) = 25

f(0) = -2

f(5) = 16

Step-by-step explanation:

Given the functions;

To get f(-5), we will use the function of x where x is less than 0 since -5 is less than zero

at where x < 0, f(x) = x^2

f(-5) = (-5)^2

f(-5) = 25

b) For f(0), where the point where x = 0, f(x)= -2

Hence the value of f(o) = -2

c) For f(5), the function where x > 5 is f(x) = 2x+6

f(x) = 2x+6

f(5) = 2(5)+6

f(5) = 16

Answer: C

Step-by-step explanation:

Answer:

a) A sample of 198 must be drawn.

b) Smaller, because the confidence level is smaller.

Step-by-step explanation:

Question a:

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

[tex]\alpha = \frac{1 - 0.999}{2} = 0.0005[/tex]

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

That is z with a pvalue of [tex]1 - 0.0005 = 0.9995[/tex], so Z = 3.291.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

How large a sample must be drawn so that a 99.9% confidence interval for u will have a margin of error equal to 4.1?

This is n for which M = 4.1. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]4.1 = 3.291\frac{17.5}{\sqrt{n}}[/tex]

[tex]4.1\sqrt{n} = 3.291*17.5[/tex]

[tex]\sqrt{n} = \frac{3.291*17.5}{4.1}[/tex]

[tex](\sqrt{n})^2 = (\frac{3.291*17.5}{4.1})^2[/tex]

[tex]n = 197.3[/tex]

Rounding up:

A sample of 198 must be drawn.

(b) If the required confidence level were 95%, would the necessary sample size be larger or smaller?

We have that:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

Solving for n

[tex]\sqrt{n} = \frac{z\sigma}{M}[/tex]

That is, n and z are directly proportion, meaning that a higher value of z(higher confidence level) leads to a higher sample size needed.

95% < 99.9%, so a smaller confidence interval.

Smaller, because the confidence level is smaller.

Answer:

Adults =58, Students=92

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

use math a way

Answer:

$9.35

Step-by-step explanation:

Find the sale price by multiplying 13.35 by 0.7, since this will be 70% of the original price

13.35(0.7)

= 9.345

This rounds to approximately 9.35

So, you will pay $9.35

Answer:

9.35  would be the answer!

Step-by-step explanation:

i would really appreciate a brainliest if this helped! <3

Answer:

x= -a2(the 2 means squared)/1-3a+a2

Step-by-step explanation:

I rll hope this helps

Answer:

x=      a^2

    ----------------

     1 - 3a + a^2

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

I am not 100% sure but I really hope this helps you.

Answer:

D. 100

Step-by-step explanation:

1. Find the z-score: 165-176/11.4 = -1.2

2. Find the percentage of the z-score. Here it's 16.85%

3. Because we are searching for the amount of members that weigh MORE than 165 pounds and not LESS, we need to find the greater percentage by subtracting 16.85% from 100% which is 83.15%. This is the percentage of people that weigh more than 165 pounds.

4. Multiply the percentage by the number of members: 83.15%*120 = 99.78

5. Round it to a whole number because someone can't be 0.78 of a person. You get 100 members.

Also, I took the test :)

Answer:

the answer is x=10

add 29+1=30

90-30=60

60÷6=10

Answer:You have roughly the same chance of being called as anyone else living in the United States who has a telephone. This chance, however, is only about 1 in 154,000 for a typical Pew Research Center survey. To obtain that rough estimate, we divide the current adult population of the U.S. (about 235 million) by the typical sample size of our polls (usually around 1,500 people). Telephone numbers for Pew Research Center polls are generated through a process that attempts to give every household in the population a known chance of being included. Of course, if you don’t have a telephone at all (about 2% of households), then you have no chance of being included in our telephone surveys.

Step-by-step explanation:

.Answer:

The answer is .31

Step-by-step explanation:

When there is a “th” at the end of the number it signals that the number is to the right of the decimal.

Tenths are immediately to the right of the decimal, next is hundredths, then thousandths, and so on.