Answer: SAS is the correct criteria
Explanation:
Angles VMU and GMH are congruent by the Vertical Angles Theorem. Given that angles UVM and GHM are congruent because they are both right angles, we now have two pairs of corresponding angles. Also given that sides HM and VM are congruent, we now have two corresponding pairs of congruent angles and a pair of congruent sides.Therefore, your best option is the ASA postulate, which states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. Therefore, we have a corresponding angle, a corresponding side, and another corresponding angle in triangle GHM, which is congruent to its corresponding angle, a corresponding side, and another corresponding angle in triangle UVM.
Answer:
n=-3
Step-by-step explanation:
2-2n=3n+17
Add 2n to each side
2-2n+2n=3n+2n+17
2 = 5n+17
Subtract 17 from each side
2-17 = 5n+17-17
-15 = 5n
Divide by 5
-15/5 = 5n/5
-3 =n
Given the frequency table on the relationship between red hair and green eyes.
Green Eyes Eye Color other than Green Total
Red Hair 18 29 47
Hair Color
other than 114 650 764
Red
Total 132 679 811
The relative frequency table is obtained from a frequency table by dividing each entry of the requency table by the overall total of the frequency table.
The relative frequency table of the frequency table above is given below.
Green Eyes Other Eye Color Total
Red Hair 18/811 = 0.02 = 2% 29/811 = 0.04 = 4% 47/811 = 0.06 = 6%
Other Hair
Color 114/811 = 0.14 = 14%|650/811 = 0.80 = 80%|764/811 = 0.94 = 94%
Total 132/811 = 0.16 = 16%|679/811 = 0.84 = 84%|811/811 = 1.0 = 100%
Given that x is the relative frequency of people that have other hair color and have green eyes, thus, the value of x is 14%.
Therefore, <span>the value of x in the table = 14%.</span>
Least to greatest: 5 10/11 , 5.822 , 5.84, 117/20.
