Answer:
x = 70°
Step-by-step explanation:
The given triangle has 2 equal sides and is therefore isosceles.
The base angles are equal, both 55°
To find x subtract the sum of the 2 angles from 180
x = 180° - (55 + 55)° = 180° - 110° = 70°
Answer:
2.899
Step-by-step explanation:
The formula for calculating the distance between two points P(x1, y1) and (x2, y2) is expressed as:
D = √(x2-x1)²+(y2-y1)²
Given the points (2,-2) and (1,x) and the distance between the point as 5, we are to get x. To get x we will substitute the points and the distance given into the formula.
Given x1 = 2, y1 = -2, x2 = 1, y2 = x and D = 5
On substitution:
5 = √(1-2)²+(x-(-2))²
5 = √1²+(x+2)²
5 = √1+(x+2)²
Square both sides of the equation
5² = (√1+(x+2)²)²
25 = 1+(x+2)²
(x+2)² = 25-1
(x+2)² = 24
Square both sides
√(x+2)² = √24
x+2 = √24
x = √24- 2
x = 4.899-2
x = 2.899
Hence the other value is 2.899
Altitude diving is underwater diving using scuba or surface supplied diving equipment where the surface is 300 metres (980 ft) or more above sea level (for example, a mountain lake).
Answer: 9 cats:4 dogs
Step-by-step explanation:
Divide each to the simplest form