Answer:
he sum of the measures of two complementary angles is 90 degrees
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
In this problem we have that
m∠ABD and m∠DBC are complementary
so
m∠ABD + m∠DBC=90° -----> by complementary angles
and
(m∠ABD + m∠DBC)+m∠EBC=180° -----> by a linear pair
Find the measure of angle EBC
substitute the given values
(90°)+m∠EBC=180°
∠EBC=180°-90°=90°
Answer:

Step-by-step explanation:
Given
The attached triangle
Required
Find y
The attached triangle is isosceles; so:

Also, we have:
--- angles in a triangle
Substitute: 

Collect like terms


Answer:
x ≥ 21.5/19
Step-by-step explanation:
-1.5(4x + 1) ≥ 45 - 25(x + 1)
-6x - 1.5 ≥ 45 - 25x - 25
-6x + 25x ≥ 45 - 25 + 1.5
19x ≥ 21.5
x ≥ 21.5/19
Equilateral
equi means equal
lateral means sides
all sides are equal
triangle has 3 sides
perimiter=side1+side2+side3
side1=side2=side3
area=1/2 times base times height
base=side
draw a line down the middle of te tiangle so you get 2 right triangles side by side
1/2base is one leg
base is hypotonuse
height is unknown
equilateral means that it is a 30-60-90 triangle with hypotonuse equal to 2x, height=x√3, bottom is x
1/2 times base times height=1959
1/2 times x times x√3=1959
multiply both sides by 2
(x^2)√3=3918
divide both sides by √3
x^2=3918/√3
square root both sides
x=47.5611
side=hypotonuse=2x
2x=2*47.5611
side=95.12222
legnth of each side is

cm or about 95.12222 cm
Answer:
Step-by-step explanation:
82 / (52+82)
82 / 134
41 / 67