Answer:
x= 22
y = 35
Step-by-step explanation:
The base angles of a isosceles triangle are equal
3x-11 = 2x+11
Subtract 2x from each side
3x-2x -11 = 2x-2x+11
x-11 = 11
Add 11 to each side
x-11+11 = 11+11
x = 22
The sum of all the angles in a triangle is 180
3x -11 + 2x+11 + 2y = 180
Combine like terms
5x +2y = 180
5*22 + 2y = 180
110 + 2y = 180
Subtract 110 from each side
110+2y-110 = 180-110
2y = 70
Divide by 2
2y/2 =70/2
y = 35
Given the isosceles right triangle in which each of its legs has a measure of 4:
Let c = hypotenuse
a = one of the legs of the triangle
b = the other leg of the triangle
Use the Pythagorean Theorem to solve for the measure of the hypotenuse:
c^ 2 = a^2 + b^2
c^ 2 = (4)^2 + (4)^2
c^ 2 = 16 + 16
c^2 = 32
Next, take the square root of each side of the equation to solve for c:
√(c^2) = √(32)
c = 4√(2)
Therefore, the correct answer is Option 3) 4√(2).
Answer:
Tip Per Person: 2.30 Total Per Person: 13.80
Step-by-step explanation:
The total bill is 48.29. When divided among the 4 friends it equals 13.80
Answer:
she was left with 28$ I'm in high school i think I'm right
Step-by-step explanation:
Answer:
54.1° (1 dp)
Step-by-step explanation:
Let the center point of the rectangle PQRS = M
Calculate the length of the line SM using Pythagoras' Theorem:
a² + b² = c²
(11/2)² + (7/2)² = SM²
42.5 = SM²
SM = √42.5 cm
The height of the pyramid is 9 cm, therefore, MT = 9
Now we have a right angled triangle with base SM and height MT and hypotenuse ST
We want to find the angle TSM, so we can use the trig formula tan x = O/A, where x is the angle, O is MT and A is SM
tan TSM = MT/SM = 9/√42.5
TSM = arctan (9/√42.5) = 54.082088°
So the angle between the line ST and the plane PQRS = 54.1° (1 dp)
