Given that median area is 15 square units.
Hence rectangle C in the middle has 15 square units.
Its dimensions can be width= 5 and length = 3
SInce B is smaller than C and has the same length, B has lengh of 3 with area = 9 sq units.
D has the same perimeter = 16 units. Since D is a square, side of D = 4 units.
Now D and E have the same length. Hence length of E = 4 units.
Width of E = width of C = 5 units.Thus makes the area of E as 20 sq units.
Rectangle A has length =3 and width can be less than 3 since area is smaller than B.
so A has length= 3 width = 2 with area = 6 sq units.
We can see from the given numbers in the data that there is an outlier. This means that mean or average is not a good measure of center. Also, there is no repeating number to give us the mode of the given. The answer is therefore, median is the only appropriate measure of center.
Answer:16 is x
Step-by-step explanation:
this is a equilateral triangle witch means the sides are the same. 3x is more than 2x so they put - 8 to get to 2 x and 8 times 2 is 16 and there you go.
Answer:
282°
Step-by-step explanation:
The measure of long arc KLM can be found by first determining the measure of short arc KM. That arc can be found using the inscribed angle theorem.
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<h3>value of x</h3>
The inscribed angle theorem tells you the measure of arc KM is twice the measure of the inscribed angle KLM that subtends it. This relation can be used to find the value of x, hence the measure of the arc.
2∠KLM = arc KM
2(5x -1) = 8x +14
10x -2 = 8x +14 . . . . . . eliminate parentheses
2x = 16 . . . . . . . . . . add 2-8x
x = 8 . . . . . . . . . divide by 2
<h3>measure of arc KM</h3>
The expression for the measure of arc KM can be evaluated.
arc KM = 8x +14 = 8(8) +14 = 78°
<h3>
measure of arc KLM</h3>
The total of arcs of a circle is 360°, so the measure of long arc KLM will bring the total with arc KM to 360°:
arc KM +arc KLM = 360°
arc KLM = 360° -arc KM
arc KLM = 360° -78° = 282°
The measure are long arc KLM is 282°.
