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 :)
Answer:
2x^2 -3x -8
Step-by-step explanation:
f(x) = 2x^2 - 5
g(x) = 3x + 3,
(f - g)(x)= 2x^2 - 5 -(3x + 3)
Distribute the minus sign
(f - g)(x)= 2x^2 - 5 -3x - 3
Combine like terms
= 2x^2 -3x -8
Answer:
31.4 cm
Step-by-step explanation:
Let C be the circumference and r be the radius of the circle.
Answer:
Drinks= $3.50 popcorn=$4.25
Step-by-step explanation:
Let medium popcorn=m
Let drinks= d
Equation 1: m+3d=14.75
Equation 2: 2m+5d=26
Solve simultaneous equation
Multiply Equation 1 by 2 and compare to find d
Substitute d into equation 2 to find price of medium popcorn
