Answer:
Step-by-step explanation:
a true
b false
Answer:
m∠X= 22°
Step-by-step explanation:
In ΔVWX:
m∠V=(7x−1) ∘
m∠W=(4x+16) ∘ ,
m∠X=(3x−17) ∘ . Find M∠X.
Step 1
We find the variable x
The sum of angles in a triangle is 180°
Hence,
ΔVWX = m∠V + m∠W +m∠X
180° = (7x - 1)° + (4x + 16)° + (3x - 17)°
180° = 7x - 1 + 4x + 16 + 3x - 17
180° = 7x + 4x + 3x - 1 + 16 - 17
180° = 14x -2
Collect like terms
180° + 2 = 14x
182° = 14x
x = 182°/14
x = 13°
Step 2
We find m∠X
m∠X = (3x−17) ∘
x = 13
m∠X = (3 × 13 − 17)°
m∠X = (39 − 17)°
m∠X = 22°
Answer:
13.2 miles
Step-by-step explanation:
To solve this, we will need to first solve for the base of the triangle and then use the information we find to solve for the shortest route.
(5.5 + 3.5)² + b² = 15²
9² + b² = 15²
81 + b² = 225
b² = 144
b = 12
Now that we know that the base is 12 miles, we can use that and the 5.5 miles in between Adamsburg and Chenoa to find the shortest route (hypotenuse).
5.5² + 12² = c²
30.25 + 144 = c²
174.25 = c²
13.2 ≈ c
Therefore, the shortest route from Chenoa to Robertsville is about 13.2 miles.
Answer:
none of them are perpendicular or parallel
If the lines are parallel, they have no solutions because they never touch
