Answer:
a=4
Step-by-step explanation:
if a+5=2a+1
then 5-1 = 2a-a
so 4 = a
Given that the triangle is a right angled triangle, to solve for x we shall use the Pythagorean theorem given by:
c^2=a^2+b^2
where:
c is the hypotenuse
a and b are the legs.
c=10
a=6
b=(x-6)
thus plugging the values in the equation and solving for x we get:
10^2=6^2+(x-6)^2
100=36+x^2-12x+36
100=x^2-12x+72
0=x^2-12x-28
factoring the above we get:
0=(x+2)(x-14)
hence
x=-2 or x=14
given that there is no negative distance then
x=14
thus the value of x is 14
Answer:
the ratio of the following x is 3/4
Real life scenarios of acute angles are:
- Sighting a ball from the top of a building at an angle of 55 degrees.
- The angle between two adjacent vanes of a fan that has 6 vanes
<h3>What are acute angles?</h3>
As a general rule, an acute angle, x is represented as: x < 90
This means that acute angles are less than 90 degrees.
<h3>The real life scenarios</h3>
The real life scenarios that involve acute angles are scenarios that whose measure of angle is less than 90 degrees.
Sample of the real life scenarios that satisfy the above definition are:
- Sighting a ball from the top of a building at an angle of 55 degrees.
- The angle between two adjacent vanes of a fan that has 6 vanes
Read more about acute angles at:
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The sum of squares of numbers is: 13
Step-by-step explanation:
Let x and y be two numbers
Then,
Difference of the squares of the numbers will be:
Product will be:
Given identity is:
Given values are:
Difference of the squares of the numbers=
Product of numbers = xy = 6
Putting the values in the identity
![(x^2+y^2)^2=(5)^2+[2(6)]^2\\=25+(12)^2\\=25+144\\=169](https://tex.z-dn.net/?f=%28x%5E2%2By%5E2%29%5E2%3D%285%29%5E2%2B%5B2%286%29%5D%5E2%5C%5C%3D25%2B%2812%29%5E2%5C%5C%3D25%2B144%5C%5C%3D169)
As we have to only find x^2+y^2
Taking square root on both sides
The sum of squares of numbers is: 13
Keywords: Identities
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