First, make an organized list of the factors for each number. The common factors are 1, 2, 4, 8, and 16, and the greatest of these is 16. So, the greatest common factor or GCF of 48 and 64 is 16.
Answer:
<span>The measure of angle SUT is equal to 90 degrees
</span>
Explanation:
The Pythagorean theorem states that:
"In any right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides"
In other words:
(hypotenuse)² = (first side)² + (second side)²
Now, for the given, we have:
u² = s² + t²
This means that the given triangle UST is a right-angled triangle and that side "u" is its hypotenuse.
According to the given, the angle opposite to side "u" is angle U. This means that angle U is the right-angle in this triangle.
Based on the above:
angle U = 90°
angle S + angle T = 180 - 90 = 90°
Now, comparing our deductions to the given choices, we can conclude that the correct choice is:
The measure of angle SUT is equal to 90 degrees
Hope this helps :)
Step-by-step explanation:
3/6=k/7
cross multiply then
6k=21
divide by the coefficient of k
k=3.5
The slope of the line on the graph represents Pete's speed. That slope is 8 miles/hour.
Paul walks 2 miles in 0.4 hours, so walks at (2/0.4) miles/hour = 5 miles/hour.
a) Pete is moving at a greater rate.
b) At 8 miles per hour, it takes Pete (2 mi)/(8 mi/h) = 1/4 h = 15 minutes to get to school. If Pete leaves 5 minutes later than Paul, he will reach school 20 minutes after Paul starts, while Paul is still 4 minutes away from the school.
Yes, Pete will catch Paul before they get to school.
Answer:
Y = 1/4x-1
X = 4y-1
Step-by-step explanation:
layout the equations :
x+1/y = 4 y+1/x = 1/4
solve the equations, remember to switch sides switch signs solving the equations will give us the value of the letter
x+1/y = 4
x+1 = 4y
x=4y-1
***
y+1/x = 1/4
y+1 = 1/4x
y = 1/4x-1
