Answer:
x = 14
Step-by-step explanation:
You want to solve for x, right?
(x-5)^(1/2)+5=2
You have it right so far.
(x - 5)^(1/2) = -3
(x - 5) = (-3)^2
x - 5 = 9
x = 9 + 5 = 14
By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
<h3>How to analyze a geometrical system formed by two proportional right triangles</h3>
Herein we find a picture of a geometrical system formed by two proportional right triangles with two variables: {x, y} These variables can be found by using the definition of proportionality and the Pythagorean theorem:
5 / 8 = 12 / (12 + x) = 13 / y
Then, we proceed to solve the system formed by two equations:
(12 + x) / 12 = 8 / 5
12 + x = 96 / 5
x = 96 / 5 - 12
x = 36 / 5
y / 13 = 8 / 5
y = 104 / 5
By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
To learn more on right triangles: brainly.com/question/6322314
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Answer:
72 sides
Step-by-step explanation:
The sum of the angles of a polygon with n sides is (n−2) × 180
Since the polygon is regular, we can divide by the number of sides to find the measure of each angle (n−2) × 180 / n
Each angle is equal to 175
(n−2) × 180 / n = 175
Multiply each side by n
(n-2)180 = 175n
Distribute
180n -360 = 175n
Subtract 180n from each side
180n-180n-360 = 175n-180n
-360 = -5n
Divide each side by -5
-360/-5 =-5n/-5
72 = n
There are 72 sides
The answer is A. 17 cm, 5 cm, 13 cm
For the triangle:
a+b > c
b+c > a
a+c > b
Check all choices:
<span>A. 17 cm, 5 cm, 13 cm
a = 17
b = 5
c = 13
17+5 = 22
22 > 13
5+13= 18
18 > 17
17+13=30
30>5
If you check other choices, you will see they are incorrect.</span>
16 - -15 = 31 (negative - negative = positive)
hope this helps! :)
