Answer:
The additional information necessary is option;
D.
⊥ 
Step-by-step explanation:
From the given figure, we have;
Given that ML ≅ MP,
The Hypotenuse Leg HL theorem of congruency is used to prove that a given number of right triangles based on the lengths of their hypotenuse and one of the legs. It states that two or more right triangles are congruent if they have equal lengths of both their corresponding hypotenuse side and one leg
To prove that ΔLMN and ΔPMN are congruent by HL, we will also be required to prove that ΔLMN and ΔPMN are right triangles
For ΔLMN and ΔPMN to be right triangles, the angles, ∠LNM and ∠PNM should be right angles = 90°
With ∠LNM = ∠PNM = 90°, then, line
is perpendicular to line
or
⊥ 
Therefore, the additional information necessary to prove that ΔLMN ≅ ΔPMN by HL is
⊥
.
Answer:
25x10^6 in standard form is 2.5×10^7
Step-by-step explanation:
Hope this helped!
Answer:
Step-by-step explanation:
sample size = n = 60
Sample mean = x bar = 5.25
Sample sd = s = 0.55
Std error of sample = s/sqrt n = 0.071

(One tailed test)
Mean difference = 5.25-5.4 = -0.15
Test statistic t = Mean diff/Se = -2.11
df=59
(since population std dev is not known t test is used)
p value =0.01955
Since p <alpha =0.05 we reject null hypothesis.
The results suggest about the sample group that the sample is from a population with a mean less than 5.4
9514 1404 393
Answer:
530.66 cm²
Step-by-step explanation:
A formula for the area of the circular disc can be written as ...
A = C²/(4π)
A = (81.64²)/(4·3.14) = 6665.0896/12.56
A = 530.66 . . . . square centimeters