Answer:
The measure of side BC = 5 unit and The measure of side AC = 5 unit
Step-by-step explanation:
Given as :
In a triangle ΔABC
The measure of side = AB = 5 unit
The measure of angle A = ∠A = 45°
The measure of angle C = ∠C = 30°
Now, For a triangle the sum of three angles of triangle = 180°
∴, ∠A + ∠B + ∠C = 180°
Or, 45° + ∠B +30° = 180°
Or , ∠B = 180° - ( 45° + 30°)
Or, ∠B = 180° - 75°
i.e ∠B = 105°
<u>Now, From figure </u>
Sin 45° =
Or, =
Or, BC =
∴ BC = 5
So, The measure of side BC = 5 unit
<u>Again , from figure</u>
Cos 45° =
Or, =
Or, AC =
∴ AC = 5
So, The measure of side AC = 5 unit
Hence The measure of side BC = 5 unit and The measure of side AC = 5 unit Answer
12 is the answer
hope it helps ;)
Given:
To find:
The LCD of the fractions.
Solution:
LCD means least common denominator.
Let us find the least common multiplier for the denominator.
The denominators are .
Factor :
Take a common in first 2 terms and -6 common in next two terms.
Take out common factor (a - 1).
------------- (1)
Factor :
Using identity:
------------- (1)
From (1) and (2),
LCM of
Therefore LCD is (a - 1)(a - 6)(a + 6).
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Answer:
B. A dilation with a scale factor of 0.5
Step-by-step explanation:
A. is wrong because it is congruent transformation because reflections keep the angles and side lengths of the figure the same.
B. is right because it is NOT congruent because a dilation of any scale factor other than 1 results in a similar figure, because the side lengths are proprtional but not equivalent
C. is wrong because translations keep the angles and side lengths of the figure the same.
D. is wrong because a scale factor of 1 changes nothing about the figure.