The GCF is 6, since both 18 and 6 are divisible by six.
18x+6y
Pull out a six to factor
6(3x+y)
The statement at the top says that the triangles are 'similar'. That means that the corresponding angles are equal, and each pair of corresponding sides have the same ratio. From the 4 and the 8, you can see that each side in the small one is 1/2 the length of the corresponding side in the big one. So the missing sides are 1/2 the length of the 7 and the 12.
You can see by the image how did I get the answer
Answer:
See explanation
Step-by-step explanation:
An inscribed angle is the angle with vertex and two endpoints lying on the circle.
1) This option shows an inscribed angle, because vertex A and endpoints B ans C lie on the circle.
2) This option doesn't show an inscribed angle, because vertex K doesn't lie on the circle.
3) This option shows an inscribed angle, because vertex X and endpoints V ans W lie on the circle.
4) This option doesn't show an inscribed angle, because vertex M doesn't lie on the circle.
5) Angle CAB is inscribed angle subtended on the arc BC with measure of 80°, so its measure is 40° (half of the measure of arc BC)
6) Angle WXV is inscribed in the circle and subtended on the arc WV. Hence, the measure of the arc WV is twice the measure of angle VXW and is equal to 84°.
Options 7) and 8) are not visible.
Answer:
Range is 44
mean is 29.7
variance is 289.56
standard deviation is 17.016
Step-by-step explanation:
The data given as follows
3, 24, 30, 47, 43, 7, 47,13, 44, 39
Range = maximum - minimum
= 47 -3 = 44
mean =
= 297/10 = 29.7
variance =
= 289.56
SD =
= 17.016
The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.