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Alchen [17]
2 years ago
7

The scale model of a rectangular patio will be enlarged by a scale factor of 2.5 to create the actual patio. The actual patio wi

ll be 15 feet by 20 feet. Which is the area of the scale model? 48 square feet 60 square feet 120 square feet 300 square feet
Mathematics
2 answers:
STatiana [176]2 years ago
8 0

Answer:

48 square feet

Step-by-step explanation:

15 x 20 = 300

2.5 x 2.5 = 6.25

300/6.25 = 48

There is your answer.

prisoha [69]2 years ago
6 0

Answer:

Answer: A: 48

Step-by-step explanation:

15 divided by 2.5=6

20 divided by 2.5=8

6*8=48

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A portfolio consisting of four stocks is expected to produce returns of minus9%, 11%, 13% and 17%, respectively, over the next f
anastassius [24]

Answer:

standard deviation of these expected returns = 0.0295 or 2.95%

Step-by-step explanation:

The detailed step is shown in the attachment

8 0
2 years ago
Find each product.<br> 1) (5n - 5)(4n - 4)
Paraphin [41]

Answer:

20n² - 40n + 20

Step-by-step explanation:

(5n - 5)(4n - 4)

= 5n(4n) + 5n(-4) - 5(4n) - 5(-4)

= 20n² - 20n - 20n + 20

= 20n² - 40n + 20

Another way to do this:

(5n - 5)(4n - 4)

= 5(n - 1) * 4(n - 1)

= 20(n - 1)(n - 1)

= 20(n - 1)²

= 20(n² - 2n + 1)

= 20n² - 40n + 20

6 0
2 years ago
If Line segment C B. bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three option
meriva

Answer:

Option (1)

Step-by-step explanation:

In the figure attached,

BC is the angle bisector of angle ACD.

To prove ΔABC and ΔDBC congruent by SAS property we require two sides and the angle between these sides to be congruent.

Since BC ≅ BC [Reflexive property]

∠ABC ≅ ∠CBD ≅ 125°

And sides AB ≅ BD

Both the triangles will be congruent.

Therefore, additional information required to prove ΔABC ≅ ΔDBC have been given in option (1).

Therefore, Option (1) will be the answer.

3 0
1 year ago
Read 2 more answers
Trapezoid A B C D is shown. Sides A B and D C are parallel. Sides A D and B C are congruent. Angle B is (3 x) degrees and angle
photoshop1234 [79]

Answer: The value of x in trapezoid ABCD is 15

Step-by-step explanation: The trapezoid as described in the question has two bases which are AB and DC and these are parallel. Also it has sides AD and BC described as congruent (that is, equal in length or measurement). These descriptions makes trapezoid ABCD an isosceles trapezoid.

One of the properties of an isosceles trapezoid is that the angles on either side of the two bases are equal. Since line AD is equal to line BC, then angle D is equal to angle C. It also implies that angle A is equal to angle B.

With that bit of information we can conclude that the angles in the trapezoid are identified as 3x, 3x, 9x and 9x.

Also the sum of angles in a quadrilateral equals 360. We can now express this as follows;

3x + 3x + 9x + 9x = 360

24x = 360

Divide both sides of the equation by 24

x = 15

Therefore, in trapezoid ABCD

x = 15  

4 0
2 years ago
Read 2 more answers
Which shows two triangles that are congruent by ASA
Ksenya-84 [330]
The four options are attached below

<u><em>Answer:</em></u>
Second attachment is the correct choice

<u><em>Explanation:</em></u>
ASA (angle-side-angle) means that two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

<u>Now, let's check the choices:</u>
<u>First attachment:</u>
It shows that two sides and the included angle between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second one. This is congruency by SAS. Therefore, this option is incorrect

<u>Second attachment:</u>
It shows that two angles and the included side  between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second triangle. This is congruency by ASA. Therefore, this option is correct

<u>Third attachment:</u>
It shows that the three angles in the first triangle are congruent to the corresponding three angles in the second one. This is not enough to prove congruency. Therefore, this option is incorrect

<u>Fourth attachment:</u>
It shows that the three sides in the first triangle are congruent to the corresponding three sides in the second one. This is congruency by SSS. Therefore, this option is incorrect.

Based on the above, the second attachment is the only correct one

Hope this helps :)

7 0
1 year ago
Read 2 more answers
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