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 :)
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Answer:
the 3rd one
Step-by-step explanation:
If you use the vertical line test, you can see that in all the other graphs theres 2 points on a line, the 3rd one is the only one where each point doesn't share a vertical line with any other points. :)
Answer:
Step-by-step explanation:
3x² - 33x + 54 = 0
Divide the whole equation by 3
x²- 11x + 18 = 0
Sum = -11
Product = 18
Factors = -9 , -2 { - 9 + (-2) = -11 ; (-9) *(-2) = 18}
x² - 2x - 9x + -9 * -2 = 0
x(x - 2) - 9(x - 2) = 0
(x-2)(x-9) = 0
x - 2 = 0 ; x - 9 = 0
x = 2 ;x = 9
Lesser x = 2
greater x = 9
Answer:
1/4 or 0.25
Step-by-step explanation:
Isn't latex a devil?
You want to know the probability of a blue marble.
Formula
P(blue) = #Blue / # Total
Givens
#Blue = 333
#Total = 333 + 444 + 555 = 1332
Solution
P(blue) = 333 / 1332 Divide by 111
P(blue) = 3/12
P(blue) = 1/4 or 0.25
