Answer:
8) x = 27
Angle P = x - 12 (15)
Angle Q = 5x - 27 (108)
Angle R = 2x + 3 (57)
Equation: (x - 12) + (5x - 27) + (2x + 3) = 180
x = 27
9) x = 14
Angle A = 7x - 6 (92)
Angle B = 3x - 5 (37)
Angle C = 4x - 5 (51)
Equation: (7x - 6) + (3x - 5) + (4x - 5) = 180
x = 14
10) x = 20
Angle K = x (20)
Angle L = x + 13 (33)
Angle J = 6x + 7 (127)
Equation: x + (x + 13) + (6x + 7) = 180
x = 20
11) x = 41
Angle Y = x (41)
Angle W = 2x - 5 (77)
Angle X = x + 21 (62)
Equation: x + (2x - 5) + (x + 21) = 180
x = 41
One you can make out of paper, the other is paper. ^-^
Answer:
22.4
Step-by-step explanation:
using altitude theorem, the height of the triangle is 20
let y = height
10/y = y/40
y² = 400
y = 
or 20
Now we can us the Pythagorean Theorem to find 'x':
10² + 20² = x²
100 + 400 = x²
x=
≈ 22.4
Ok so the lines with two triangles are parralel to eachother. The lines with one are parallel to eachother.
The angle of 109° and angle of z° equal eachother. Z=109°
Since 109°, 33° and y° form a triangle, the sum of the angles will equal 180. Add 109 and 33 to get 142. Subtract 142 from 180 to get y°=38°.
Since z=109, this means that the triangle is congruent with the other. Since the congruent triangles are in a rhombus, then the angles are flipped. Thus, angle x =33°.
z=109°
y=38°
x=33°
