Answer:

Given:
- area = 18 cm²
- base = 6 cm
- height = (h + 1) cm
Substitute the given values into the equation and solve for h:



expand using distributive property of addition
:

subtract 3 from both sides:

divide both sides by 3:

<u>To verify</u>:
Half of the base is 3 cm.
If h=5, then the height of the triangle is 6 cm.
Multiplying 3 by 6 is 18.
This matches the given area, so we can verify that h = 5.
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
Learn more about identities at:
#LearnwithBrainly
Answer:
2
Step-by-step explanation:
(10+10-4)÷8 is your expression.
10+10=20
20-4=16
16/8=2
0-11/5-17=11/12 is the answer to your question. The work is the equation.
Step-by-step explanation:
ED = EB
2x +3 = 5x -15
3+15=5x -2x
18 = 3x
18 ÷ 3 = x
x = 6