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:
see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠PQS+m∠SQR=m∠PQR ----> equation A (by Addition Angle Postulate)
we have that
m∠PQR=90° ----> equation B given problem (because is a right angle)
substitute equation B in equation A
m∠PQS+m∠SQR=90°
Remember that
Two angles re complementary is their sum is equal to 90 degrees (Definition of complementary angles)
therefore
m∠PQS and m∠SQR are complementary angles
Answer:
Quesnel Lake:Lake Baikal=.31
Quesnel Lake:Great Slave Lake=.82
Step-by-step explanation:
1 foot = .3048 meters
Lake Baikal: 5369 ft. = 1636.4712 m
Great Slave Lake: 2015 ft. = 614.172 m
Quesnel Lake: 506 m
Quesnel Lake:Lake Baikal

Quesnel Lake:Great Slave Lake

The correct answer is option B which is the function will be
f(n) = -6.25+0.75n.
<h3>What is a function?</h3>
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given series is as follows:-
-5.5, -4.75, -4, -3.25, ...
When we use the function:-
f(n) = - 6.25 + 0.75n
f(1) = -6.25 + 0.75 x 1 = -5.5
f(2) = -6.25 + 0.75 x 2 = -4.75
f(3) = -6.25 + 0.75 x 2.25 = -4
Therefore the correct answer is option B which is the function will be
f(n) = -6.25+0.75n.
To know more about function follow
brainly.com/question/25638609
#SPJ1
9514 1404 393
Answer:
- Beachy Keen
- Shore Thing
- Shore Thing
- Beachy Keen
- Shore Thing
Step-by-step explanation:
The equation of the graph can be written by observing that ...
the y-intercept is 200
the graph has a rise of 200 for a run of 1, so the slope is 200
Then the price at Shore Thing is ...
y = 200x + 200
__
The price at Beachy Keen is given as ...
y = 249x + 100
__
The equation of the table can be written by observing that ...
the y-intercept is 115
the additional cost for 1 night is 230
Then the price at Seas the Day is ...
y = 230x + 115
__
1) The nightly rate is the coefficient of x. Beachy Keen charges the highest nightly rate.
2) The y-intercept is the deposit. Shore Thing charges the highest deposit.
3) Shore Thing charges the lowest nightly rate.
4) Beachy Keen charges the lowest deposit.
5) The costs of a 6-night stay are ...
- Shore Thing: 200(6) +200 = 1400
- Beachy Keen: 249(6) +100 = 1594
- Seas the Day: 230(6) +115 = 1495
Shore Thing charges least for a 6-night stay.