5x + 18 + 81 + 4x = 180
Like terms
9x + 99 = 180
9x = 81
X = 9
Hope this helps!
Brainliest is much appreciated
Using the Pythagorean Theorem, it is found that Barrie is 12 miles from Luke's house, in a straight line.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean Theorem relates the length of the legs
and
of a right triangle with the length of the hypotenuse h, according to the following equation:
![h^2 = l_1^2 + l_2^2](https://tex.z-dn.net/?f=h%5E2%20%3D%20l_1%5E2%20%2B%20l_2%5E2)
This problem can be modeled by a right triangle, with
, hence:
![h^2 = l_1^2 + l_2^2](https://tex.z-dn.net/?f=h%5E2%20%3D%20l_1%5E2%20%2B%20l_2%5E2)
![16^2 + d^2 = 20^2](https://tex.z-dn.net/?f=16%5E2%20%2B%20d%5E2%20%3D%2020%5E2)
![d^2 = 144](https://tex.z-dn.net/?f=d%5E2%20%3D%20144)
![d = 12](https://tex.z-dn.net/?f=d%20%3D%2012)
Barrie is 12 miles from Luke's house, in a straight line.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
Answer: $50.99
Step-by-step explanation:
Given
The computer game is Priced at ![\$59.99](https://tex.z-dn.net/?f=%5C%2459.99)
It is marked down by ![15\%](https://tex.z-dn.net/?f=15%5C%25)
Final price is
![\Rightarrow 59.99-15\%\ \text{of}\ 59.99\\\Rightarrow 59.99(1-0.15)=59.99\times 0.85\\\Rightarrow \$50.99](https://tex.z-dn.net/?f=%5CRightarrow%2059.99-15%5C%25%5C%20%5Ctext%7Bof%7D%5C%2059.99%5C%5C%5CRightarrow%2059.99%281-0.15%29%3D59.99%5Ctimes%200.85%5C%5C%5CRightarrow%20%5C%2450.99)
Step-by-step explanation:
ok so as u know the angles of a triangle add up to 180.
So we will be using that for help.
S+R+T=180
12x+13x+12x-4+2-3=180
37x-5=180
37x=185
x=5
Now we will plug in the value for x to find each angle
S= 13(5)-4
=61
T=12(5)-3
=57
R=12(5)+2
=62
Hope this helped:)
1st, let's see what kind of PA we have:for i=1 , the 1st term =a₁ = 9
for I=2 . the 2nd term =a₂ = 11
for I=3 , the 3rds term =a₃ =13, we notice that a₂-a₁ =a₃-a₂ = 2 =d.
So we know the value of a₁ =9 & the common difference d=2 & we know also that the number of term n = 18 (I goes from 1 to 18). Let; calculate the value of the 18th term (the last term): Last term = a₁ + (n-1)d, ,Plug the know values: Last term = 9 + (18-1) (2) ==> L=43
And the sum = (a₁ + L) (n/2) ==> S=(9+43)(18/2) = 52x9 = 468