Define x:
Let angle a be x.
angle a = x
angle b = 3x + 32
angle c = x + 58
Find x:
Angles in a triangle add up to 180°:
x + 3x + 32 + x + 58 = 180
Combine like terms:
5x + 90 = 180
Take away 90 from both sides:
5x = 90
Divide by 5 on both sides:
x = 18°
Find the angles:
angle a = x = 18°
angle b = 3x + 32 = 3(18) + 32 = 86°
angle c = x + 58 = 18 + 58 = 76°
Answer: The angles are 18°, 86° and 76°.
Answer:
GF = 16.25
Step-by-step explanation:
If G is the circumcenter of triangle ABC, AG = 6x + 1, GC = 9x – 11, and BC = 38, find GF.
Step 1
We find x
AG = GC
6x + 1 =9x - 11
Collect like terms
1 + 11 = 9x - 6x
12 = 3x
x = 12/3
x = 4
Step 2
We solve for AG
GC = 9x + 11
GC = 9(4) + 11
GC = 36 + 11
GC = 25
Step 3
Solving for GF, using Pythagoras Theorem
GF² + BG² = GC²
GF² = GC² - BG²
GF = √GC² - BG²
GF = √25² - 19²
GF = √264
GF = 16.248076809
GF = 16.25
The answer is 225
I got that by mulitplying .15 by 1500
Answer:
80 km/hr
Step-by-step explanation:
This is asking for speed.
Speed=Distance/Time
Speed=720/9
Speed=80 km/hr