Answer:
86
Step-by-step explanation:
y + 28 + 58 = 180
y + 86 = 180
y = 180 - 86
y = 94
x + y = 180
x + 94 = 180
x = 180 - 94
x = 86
Answer:
Step-by-step explanation:
To solve, we need to take square root of both sides first:
Now we use the property of radical shown below to simplify square root of 28:
Property: 
Now, we have:
Now we take 4 to the other side and isolate x:
first answer choice is right.
Answer:
c=19.21
<C=90
<B=38.66°
<A=51.34
Step-by-step explanation:
12²+15²=c²
144+225=c²
c=19.21
<C=90
For angle B, the sinB=Opposite over Hypotenuse
sinB=12/19.21
sinB=0.62467
B=sin^-1(0.62467)
<B=38.66°
To find A, 180-90-38.66
<A=51.34
Answer:
5 km
Step-by-step explanation:
We are given the distances walked by Maria;
We are required to determine the displacement from her starting point;
- We are going to use Pythagoras's theorem;
a² + b² = c²
Taking, the distances towards south and towards west as the legs of the triangle;
Then, c² = 3² + 4²
= 25
c = √25
= 5 km
Therefore, the displacement from the starting point is 5 km
Answer:
57
Step-by-step explanation:
Angle IHK and JKH are alternate angles.
Alternate angles are equal
