Answer:
A) y =
, x = 11
Step-by-step explanation:
We can use the 60 degree angle to help us solve this.
Remember: tan(angle) = opposite/adjacent
Using this formula, we get that
tan (60 degrees) = y / (11/2)
This is because y is the side opposite to the 60 degree angle and 11/2 is the side adjacent to the 60 degree angle.
Simplifying this expression, we get that
= y/(11/2)
Multiplying both sides by 11/2, we get
= y
We can now use the pythagorean theorem to help us solve for x
Remember: a² + b² = c²
Since x is the hypotenuse, it is the c value. Therefore, we get:
(11/2)² + (
)² = x²
Simplifying this, we get
+
= x²
Simplifying this some more, we get
484/4 = x²
121 = x²
Taking the square root of both sides, we get that
x = 11
I hope this helps!
The area of the rectangle URST is 135 mm². so the option C is correct.
<h3>What are Congruent rectangles?</h3>
Congruent rectangles have the same lengths of sides, same measures of angles and same areas and same perimeters
The Rectangle ABCD is congruent to rectangle URST
Given; Rectangle ABCD ≅ rectangle URST
AB = UR , BC = RS , CD = ST , AD = UT
AB = 9 millimeters
UR = 9 millimeters
We know that, The area of any rectangle = l × w,
In rectangle URST
∵ UR = 9 millimeters
∵ RS = 15 millimeters
- Assume that UR = l and RS = w
The area of rectangle URST = UR × RS
The area of rectangle URST = 9 × 15 = 135 millimeters²
Hence, The area of rectangle URST is 135 mm²
Learn more about rectangle here;
brainly.com/question/13307509
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Medicare = 0.0145 x 1750 = $25.38
Social Security = 0.062 x 1750 = $108.50
Income tax = 0.18 x 1750 = $315.00
Total withheld = $25.38 + $108.50 + $315.00 = $448.88
Net pay = $1750 - $448.88 = $1,301.12
Step-by-step explanation:
In order to be like terms, the variables and exponents must be the same.
3a can be combined with 14a and 4a.
4b can be combined with 3b and 16b.
a² cannot be combined with any of the terms.
N, O, S, and Z all have rotational symmetry