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Trava [24]
3 years ago
12

Find the value of z in the isosceles triangle shown below. V20 V20 8

Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

<h3>x = 2</h3>

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = x

           b = 8/2 = 4  

           c = √20

plugin values into the formula:

x² + 4² = (√20)²

x² + 16 = 20

x² = 20 - 16

x = √4

x = 2

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What is the ordered pair after this point is reflected across the y-axis? 4,2
Zepler [3.9K]

Answer:

-4,2

Step-by-step explanation:

a reflection across the y axis means the y values stay the same and the x values change sign

8 0
3 years ago
Is my answer correct?
kotykmax [81]

Answer:

The short answer is: yes, the answer to "How do you do?" is "How do you do?" It is also acceptable to reply "I'm fine, and you?" and similar variations. However -- and this is important to the etiquette side of things and not so much the language side -- "how do you do?" is actually not a question!

6 0
2 years ago
Read 2 more answers
A dog runs 100 yards from one corner of a rectangular park to the opposite corner. If the length of the park is 28 yards, what i
kap26 [50]

9514 1404 393

Answer:

  96 yards

Step-by-step explanation:

The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.

The diagonal is the hypotenuse, so we have ...

  100² = 28² + w²

  w = √(10000 -784) = 96

The width of the park is 96 yards.

_____

<em>Additional comment</em>

The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).

You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.

8 0
3 years ago
Only answer if your 100% sure<br><br> What equation is shown in the graph?
elena-s [515]
(0,2) and (1,1)
slope = (2 - 1)/(0 -1) = -1
y intercept b = 2
equation
y = -x + 2

answer
equation
y = -x + 2
6 0
3 years ago
Read 2 more answers
Cynthia Bech want to buy a rug for a room that i 20 ft wide and ft long. She want to leave a uniform trip of 29 floor around the
Hoochie [10]

On solving the question, we got that - The dimensions of the rug should be 18 feet and 24 feet

<h3>What is area of rectangle?</h3>

By multiplying the rectangle's length by its breadth, we may get its area.

Equiangular quadrilaterals, like rectangles, are known in this way. This is so because a rectangle is a four-sided quadrilateral shape with parallel sides that are equal to one another and four corners with 90o angles. Rectangles are sometimes known as equiangular quadrilaterals since all of its angles are 90 degrees.

the parameters provided;

The room is 20 feet by 26 feet in size.

432 feet2 is the largest area rug she can afford.

If the floor will be a uniform stripe around the rug, then each dimension should have its uniform extra length of floor =  (y).

Area = Length X Width\\432 = ((20=y) X (26-y)\\432 = 520 - 20y - 26y + y^2\\y^2 - 46y+88=0\\

here, a= 1, b= -46, c =88

y = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a} \\\\

y = \frac{-(-46) +/- \sqrt{(-46)^2 - 4X1X88} } {2} \\\\y = 44 \\or\\ y =  2

Therefore, Length = 20-2 = 18 ft

and width = 26-2 = 24ft

To know more about rectangle visit:

brainly.com/question/15019502

#SPJ4

8 0
1 year ago
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