Answer:
50
Step-by-step explanation:
50???
If you can picture it , or sketch it. The diagonal of the rectangle (line connecting opposite corners) is the diameter of the circle. You can find the diagonal by using the Pythagorean theorem for a right triangle. The diagonal would be the hypotenuse.
10^2 + 24^2 = 676
sqrt(676) = 26
The formula for circumference is: diameter times pi.
C = 26pi
Based on the angle bisector QS, the value of x is 4
<h3>How to determine the value of x?</h3>
The given parameters are:
- QS bisects <PQT
- QP and QR are opposite rays.
- m<PQT = 60
- <PQS = 4x + 14,
Because QS bisects <PQT, then
PQT = 2 * <PQS
This gives
4x + 14) * 2 = 60
Divide by 4
2x + 7 = 15
Subtract 7 from both sides
2x = 8
Divide by 2
x = 4
Hence, the value of x is 4
Read more about angle bisector at:
brainly.com/question/6725549
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Answer:
80 sq units
Step-by-step explanation:
Starting with the largest rectangle, we see it has a width of 6 and a length of 8, meaning the area of that only is 48 sq units. (area of rect. = l x w, so 6 x 8 is 48)
There are two smaller rectangles with width 6 and length 2. One of those rectangles would be 12 units (6 x 2). Since there is two of them, then 24 sq. units.
Lastly, there are four small triangles. The area formula for a triangle is 1/2(b)(h). The triangle has a base of 2 and a height of 2. (1/2)(2)(2) =2. Since there are four triangles, the total for them only would be 8 (2 x 4).
Adding each of these pieces together will give us the answer:
48+24+8=80 sq units
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Mnenie [13.5K]
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