Answer:
Step-by-step explanation:
D
The interquartile range is from Q1 to Q3 and to get this you have to subtract Q2 by Q3. The 10 units represent that only 10 units are fit in the given range.
Answer:
33.89
Step-by-step explanation:
the side lengths are the distances between the corner points of the triangle.
P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.
PQ = 6 - (-6) = 6 + 6 = 12
QR and RP are trickier.
we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.
QR :
QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97
QR = sqrt(97) ≈ 9.848857802
RP :
RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145
RP = sqrt(145) ≈ 12.04159458
the perimeter/circumference of the triangle is the sum of all 3 sides
= 12 + sqrt(97) + sqrt(145) ≈ 33.89
Answer:
x < -24(option
Step-by-step explanation:
-¼x - 12 > -6
Add 12 to both sides
-¼x - 12+12 > -6+12
-¼x > 6
Divide both sides by -¼
x < 6 ÷ -¼
Please note that the inequality sign changes when divided by negative (minus). This is a rule in inequalities.
x < 6 × -4
x < -24
I hope this was helpful, please mark as brainliest
2 opposite interior angle (opposite to the exterior angle) added together are equal to the exterior angle
6x-1+85 = 18x
6x +84 = 18x
subtract 6x from both sides
84 = 12x
divide both sides by 12
x = 7
<em>hope this helps! </em>
