Answer:
hi :)
Step-by-step explanation:
Answer:
The sum of a° and b° will be 180°.
Step-by-step explanation:
We know that two angles are supplementary when they add up to 180 degrees.
We also know that we know that a straight angle is said to be having 180 degrees. A straight angle does change the direction to point the opposite way.
i.e.
Straight angle = 180°
For example, a flat surface does have an angle of 180 degrees. Also, a straight stick does have a straight angle or 180 degree.
So, from the figure, the sum of a° and b° will be 180° as they add up to 180 degrees on a straight line and hence a° and b° are supplementary angles.
Therefore, the sum of a° and b° will be 180°.
Answer:
B. 8
Step-by-step explanation:
The question lacks the required diagram. Find the diagram in the attachment.
Before we can find d21, d22 and d23, we need to get the matrix D first as shown in the attached solution.
On comparison as shown in the attachment, d21 = 11, d22 = -10 and d23 = 7
Note that d21 refers to element in the second row and first column of the matrix
d22 is the element in the second row and second column of the matrix
d23 is the element in the second row and third column of the matrix
d21+d22+d23 = 11-10+7
d21+d22+d23 = 8
The second option is correct.
9514 1404 393
Answer:
77
Step-by-step explanation:
The sum of the measures of the two given arcs is 180°, the measure of semicircle ADC. Using this fact, we can find x and the measure of DC.
AD +DC = 180
(19x -49) +(5x +37) = 180
24x = 192 . . . . . . . . . . . add 12, simplify
x = 8 . . . . . . . . . . divide by 24
Then the measure of DC is ...
DC = 5x +37 = 5(8) +37 = 40 +37
DC = 77
The circumference formula is

where r is the radius given to us as 26.85, and pi is to be 3.14. In our formula then, we have
.
Doing that multiplication and rounding to the nearest tenth leaves us with a circumference of 168.6 inches.