Answer:
Original number = 54
Reversed number = 45
Step-by-step explanation:
Let the tens place digit be x and unit's place digit be y.
Therefore, required no. = 10x + y
Number obtained after interchanging the digits = 10y + x
According to the given condition:
Answer:
A ; 21
Step-by-step explanation:
Here, the side facing the right angle is the hypotenuse and it has a measure of length 42
The side facing the missing angle is the opposite and it has a length of 15
The trigonometric ratio that connects the hypotenuse and the opposite is the sine
The sine of an angle is the ratio of the opposite to the hypotenuse
Thus;
sine ? = 15/42
sine ? = 0.357
? = arc•sim 0.357
? = 21 degrees
First, we need to add all of the dollar amounts to get the total the civic group needs to raise.
$2,500+$1000+$300+$200=$4,000.
Then, divide by number of tickets.
$4,000/1,000=$4
The civic group needs to sell each ticket for $4.
m∠3 = 70°
Solution:
Line l and line m are parallel.
line t and line s are transversals.
<em>Sum of the adjacent angles in a straight line = 180°</em>
50° + (x + 25)° + (2x)° = 180°
50° + x° + 25° + 2x° = 180°
75° + 3x° = 180°
Subtract 75° from both sides, we get
3x° = 105°
Divide by 3 on both sides of the equation.
x° = 35°
x = 35
(2x)° = (2 × 35)° = 70°
(2x)° and ∠3 are alternate interior angles.
<em>If two lines are parallel then alternate interior angles are congruent.</em>
m∠3 = (2x)°
m∠3 = 70°
Hence m∠3 = 70°.
Answer:
8x^2+4x-24
Step-by-step explanation:
A=LW
(4x-6)(2x+4)
8x^2-12x+16x-24
8x^2+4x-24
