Answer:
The following measurements are:
(Option #4)
(Option #7)
(Option #5)
(Option #2)
Step-by-step explanation:
To begin, we can find the measure of by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Since the intercepted arc (RS) is 46 degrees, we have:
Next, we can find the measure of arc QT using the same theorem. So,
Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of . Since the arc ST is part of the arc RST, and we know RS is , we can set up and solve this equation:
We can use the same idea to find RQ. We know that RQT is and QT is , so:
Answer:
6t
Step-by-step explanation:
Consider ΔAQD. This triangle has the area
where H is the heigh drawn from the point Q to the side AD.
Note that the height H is also the height of the parallelogram. So the area of the parallelogram ABCD is
From these two statements you can conclude that
Now consider ΔDMQ. The ratio between the area of triangles DMQ and AQD is
Since you have that
and
Thus,
Answer: correct choice is B
Answer:
(0,5)
Step-by-step explanation:
If you plug in 0 in all the variables of x, f(x)=0+0+5
We know that f(x) is y...so y=5, while x=0
Answer:
3, 27 and 9,9
Step-by-step explanation:
3*27 = 81
9*9=81
Technically you could say 1 and 81 but those two answers fit the most.