Answer:
Option (4).
Step-by-step explanation:
In the figure attached,
Two right triangles ΔXYZ and ΔTUV have been given,
Given:
1). m∠Y = m∠U = 30°
2). m∠Z = m∠V = 60°
3). m∠X = m∠T = 90°
For congruence of two right triangles, measure of at least one side should be known along with the measure of angles (LA, HA, LL, HL properties of congruence).
Therefore, these triangles may be similar but not congruent.
Option (4) is the correct option.
Answer:
x = 2.36603 or 0.633975
Step-by-step explanation:
Here we want to solve the quadratic equation using the completing the square method.
2x^2-6x + 3 = 0
divide through by 2 first;
x^2 -3x + 3/2 = 0
x*2 -3x = -3/2
Half the x term will be -3/2 and squaring it is 9/4
we add this to both sides
x^2-3x/2 + 9/4 = -3/2 + 9/4
(x-3/2)^2 = 3/4
Finding square root of both sides
x-3/2 = √(3/4)
x = 3/2 ± √(3/4)
x = 3/2 + √(3/4) or x = 3/2-√(3/4)
which becomes
x = 2.36603 or 0.633975
<h2>
Answer:</h2>
The number of possible arrangements is : 120
<h2>
Step-by-step explanation:</h2>
We know that in order to find the different arrangements which are possible we need to use the method of permutation.
The arrangement of a given word is calculated as the ratio of the factorial of number of letters to the product of factorial of numbers the number of times each letter is repeating.
The word is given to be:
ALASKA
There are a total of 6 letters in the given word
Out of which a letter "A" is repeating 3 times.
Hence, the number of arrangements possible are:

Answer:
The answer is x = 27.
Step-by-step explanation:
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