Answer:
-.167= -1/6
Step-by-step explanation:
5/12+(-7/12)
=(5 × 12) + (-7 × 12)
_______________
12 × 12
=-24/144
= -24 ÷ 24
________
144 ÷ 24
= - 1
_______
6
Answer:
Triangle B is right
Step-by-step explanation:
Using the converse theorem of Pythagoras.
If the square of the longest side in a triangle equals the sum of the squares of the other 2 sides then the triangle is right.
Triangle A
longest side squared = 36² = 1296
26² + 18² = 676 + 324 = 1000 ≠ 1296
Hence triangle A is not right
Triangle B
longest side squared = 25² = 625
20² + 15² = 400 + 225 = 625 ← correct
Hence triangle B is right
Answer:
Her speed is of 2 miles per hour.
Step-by-step explanation:
Velocity:
The velocity is given by the following formula:
In which v is the velocity, d is the distance and t is the time.
2/3 mile in 1/3 hour .
This means that 
Which unit rate describes antoinettes speed in miles per hour?
This is v. So
Her speed is of 2 miles per hour.
4 1/2 and 48 for #1
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Answer:
∠y=60°
Step-by-step explanation:
Question says to find the measure of the angle Y.
We have been given a picture of triangle XYZ. All angles are marked with same sign so that indicates that all three angles are equal.
∠x = ∠y = ∠z...(i)
We know that sum of all three angles of the triangle is always 180°.
So we can write:
∠x+∠y+∠z=180°
∠y+∠y+∠y=180° {using equation (i) }
3∠y=180°
divide both side by 3
∠y=60°
Hence final answer is the measure of angle y is 60 degree.
