Answer:
\sqrt{6}
Explanation:
From the given diagram,
Hypotenuse sde = x
Opposite side = \sqrt{3}
Using the SOH CAH TOA identity
Sintheta = opposite/hypotenuse
Sin 45 = \sqrt{3}/x
x = \sqrt{3}/sin45
![\begin{gathered} x\text{ =}\frac{\sqrt[]{3}}{\sin 45} \\ x\text{ = }\frac{\sqrt[]{3}}{\frac{1}{\sqrt[]{2}}} \\ x\text{ = }\sqrt[]{3^{}}\cdot\sqrt[]{2} \\ x\text{ =}\sqrt[]{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5Ctext%7B%20%3D%7D%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B%5Csin%2045%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B%5Cfrac%7B1%7D%7B%5Csqrt%5B%5D%7B2%7D%7D%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B3%5E%7B%7D%7D%5Ccdot%5Csqrt%5B%5D%7B2%7D%20%5C%5C%20x%5Ctext%7B%20%3D%7D%5Csqrt%5B%5D%7B6%7D%20%5Cend%7Bgathered%7D)
Hence the value of x is \sqrt{6}
Answer:
No not all right angles are congruent.
Step-by-step explanation:
Answer:
B. y = x +3
Step-by-step explanation:
The fastest way to find this answer is to substitute offered values of x and y into the given equations to see if they are true.
<h3>Substitution</h3>
Using the first line in the table, (x, y) = (2, 5), we have ...
A 5 = 2(2) . . . . false
B 5 = 2 +3 . . . . true
C 5 = 3(2) . . . . false
D 5 = 2 +1 . . . . false
__
<em>Additional comment</em>
Checking answer choices against the problem statement is one of many possible strategies for answering multiple-choice questions.
Let us assume the total amount of meal charge paid by Michael without tax = x
Then
Amount paid to the waiter by Michael = 15x/100
Sales tax paid by Michael = 5x/100
Now we get the equation as
x + (5x/100) + (15x/100) = 18
(100x + 5x + 15x)/100 = 18
120x/100 = 18
120x = 1800
x = 1800/120
= 180/12
= 15 dollars
So the amount paid by Michael for the meal before tax and tip is $15. I hope the procedure is clear enough for you to understand.
