Answer:
x + y = 64
x + 10 = y
Step-by-step explanation:
Since it isn't asking for the solutions, I won't solve.
let y represent drama students, and x represent the yearbook students.
We know that DS (drama students) plus YS (Yearbook students) equals 64 students in total. To write this mathematically you would write x(YS)+ y(DS) = 64 (Students in total) except just <em><u>x + y = 64</u></em>.
The second part of this system explains what y is.
We know that the drama club has 10 more students than yearbook students, so YS plus 10 equals the amount of DS. To write this mathematically you would write <em><u>x + 10 = y</u></em>.
Combine the two systems by writing
x + y = 64
x + 10 = y
<em>P.S. Let me know if you need the system solved.</em>
To determine the distance between two points, we use the equation,
distance = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting the known values for the abscissa and ordinates of the points,
distance = √(0 - 2)² + (0 - 5)² = √29 ≈ 5.39
Therefore, the distance between these two points is approximately equal to 5.39.
Answer:
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Step-by-step explanation:
m∠W = (4x)°
m∠Y = (3x)°
m∠Z = (3x)°
i.e.,
We Know That,
The sum of a Triangle is 180°
So,
m∠W + m∠Y + m∠Z
i.e.,
(4x)° + (3x)° + (3x)° = 180°
10x° = 180°
x = 180/10
x = 18°
Now,
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Thus, x = 18°
<h3>
<u>FOR</u><u> </u><u>VERIFICATION ONLY</u><u>:</u></h3>
(4x)° + (3x)° + (3x)° = 180°
4 × 18 + 3 × 18 + 3 × 18 = 180
72° + 54° + 54° = 180°
180° = 180°
Hence, L.H.S = R.H.S
<u>-TheUnknown</u><u>S</u><u>cientist</u>
Answer:
x = 155
Step-by-step explanation:
First find the missing angle in the smaller triangle.
We know that the sum of the angles in a triangle is 180 so 35 + 90 + the missing angle = 180 so 180 - (35+90) = 180 - 125 = 55
Since the line above is a straight line, the sum of the angles must equal 180 so 55 + 60 + ? = 180. So 180 - 115 = 65.
The triangle is a right triangle so that means on of the angles is 90. So 65 + 90 = 155, so we have 180 - 155 = 25.
The angle that x is on is also a straight line so that means the angles must add up to 180 so 180 - 25 = 155.
The answer is A because the point of reflection is located on -1 while it reflects horizontally
