Given:
2 answers:
Answer:
the only following lines which support the conclusion based on the given information is, RZ = RZ , Reflexive Property
Explanation:
HL (Hypotenuse Leg) theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
In ΔRZS and ΔRZT
[Given]
RS = RT [Hypotenuse side] [Given]
RZ = RZ [Reflexive property]
Then, by the HL theorem;
Hence proved!
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Answer:
There is no significant difference between the means.
Step-by-step explanation:
Given is the data set for X1 and x2 are we have to do a paired t test.
(Two tailed test at 5% significance level)
Mean difference = 1.00
Std error for difference = 1.225
df=4
Test statistic = mean diff/se = 1.826
p value =0.142
Since p >0.05 our alpha we accept H0
There is no significant difference before and after averages at 5% sign. level.
Answer: The given triangle LMN is an obtuse-angled triangle.
Step-by-step explanation: We are given to use Pythagorean identities to prove whether ΔLMN is a right, acute, or obtuse triangle.
From the figure, we note that
in ΔLMN, LM = 5 units, MN = 13 units and LN = 14 units.
We know that a triangle with sides a units, b units and c units (a > b, c) is said to be
(i) Right-angled triangle if
(ii) Acute-angled triangle if
(iii) Obtuse-angled triangle if
For the given triangle LMN, we have
a = 14, b = 13 and c = 5.
So,
Therefore,
Thus, the given triangle LMN is an obtuse-angled triangle.