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:
Step-by-step explanation:
Given
Required
Represent as an equation
The new position of the hook is calculated by:
This gives:
Hence, the equation is:
Answer:
y=-2
Step-by-step explanation:
y+3y+5y=−18
Combine like terms
9y = -18
Divide each side by 9
9y/9 = -18/9
y = -2
Answer:
1. x = 39.67
2. x = 15
3. x = 49.29
4. x = -12.8
5. x = 96
6. x = 42
7. x = 36
8. x = 0
9. x = 78
Step-by-step explanation:
Just remember to always isolate the unknown. Here are the solutions to your problem. I will explain each step for the first for you to give you an idea how the others were worked out.
1.
Add 2 to both sides to get rid of -2 on the left side.
Multiply both sides by 7 to get rid of 7 on the left side.
Divide both sides by 3 to get rid of 3 on the left side.
You could also transpose everything by the x to the other side of the equation. Just remember that whatever OPERATION used on the original side, must be opposite on the other side. I'll use the second problem to show this.
Transpose 1 on the left to the right. It is addition on the left, then it would be subtraction on the other side.
Transpose 5 from the left side to the right. It is division on the left, then it would be multiplication on the right.
Transpose 2 from the left side to the right. It is multiplication on the left, then it would be division on the right.
Let's move on with the rest now.
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