Answer: 180 is the sum of the tringles
Step-by-step explanation:
2x+7x+11x=180
20x=180
x=9
Now you should put the the value of x to get the angles
2x=2x9=18
7x=7x9=63
11x=11x9=99
Now to double check add all of them together
99+18+63=180
Hoped I helped!
Answer:
x = 5, y = -2
Step-by-step explanation:
<u>Given equations:</u>
<u>From the first equation we get:</u>
<u>Substitute x in the second equation, find y:</u>
- 3x - y = 17
- 3*(1-2y) - y = 17
- 3 - 6y - y = 17
- -7y = 17 - 3
- -7y = 14
- y = -14/7
- y = -2
<u>Find x:</u>
- x = 1 - 2y
- x = 1 - 2*(-2)
- x = 1 + 4
- x = 5
BE and CD are parallel, so the triangles ABE and ACD are similar. Then the following relation holds:
AE/AD = AB/AC
10/(10 + 8) = x/(x + 6)
Solve for x :
10 (x + 6) = x (10 + 8)
10x + 60 = 18x
8x = 60
x = 60/8 = 7/5
I think that x = 37/19
22x+54=−20+60x
Step 1: Simplify both sides of the equation.
22x+54=60x−20
Step 2: Subtract 60x from both sides.
22x+54−<u>60x</u>=60x−20−<u>60x</u>
−38x+54=−20
Step 3: Subtract 54 from both sides.
−38x+54−<u>54</u>=−20−<u>54</u>
−38x=−74
Step 4: Divide both sides by -38.
−38x/ <u>−38</u> = −74/<u>−38</u>
x=37/19