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:
10 units
Step-by-step explanation:
Given that:
Cos a = 3 /5
From trigonometry ;
Cos θ = Adjacent / hypotenus
Side Adjacent angle a = 3 = FD
Hypotenus = 5 = DE
3 / 5 = FD / DE
FD = 6 units
3/5 = 6/DE
DE * 3/5 = 6
DE = 6 ÷ 3/5
DE = 6 * 5 /3
DE = 30 /3
DE = 10 units
The least common multiple of 2 and 4 is 4 .
Here's a useful hint to keep in mind:
If the smaller number is a factor of the larger number,
then the larger number is the LCM of both of them.
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Answer:
0.001
Step-by-step explanation:
Ericsson is claimed to increase the likelihood of a baby girl ;
Given the alternative hypothesis to buttress this claim :
HA : p>0.5
In other to establish the success of Ericsson's claim, then there must be significant evidence to reject the Null hypothesis ; hence adopt the alternative.
To Do this, we need a very small Pvalue ; such that it will be lesser than the α - value in other to reject the Null and adopt the alternative.
Recall ;
Pvalue < α ; We reject the Null
Therefore, from the options, we choose the smallest Pvalue as we want the Pvalue to be as small as possible.