Discount is $10
Final price $30
Answer:
see below
Step-by-step explanation:
given: size of television is height = 37 in, length = 71 in.
A. using Pythagorean theorem:
parts given are legs which is the sides
looking for the hypotenuse.
B. formula:
a² + b² = c² or H² + L² = D²
where H = height = 37
L = length = 71
D = diagonal (which is req'd)
C. D² = 37² + 71²
D = 
D = 
D = 80 in (missing length)
D. size of television:
37 x 71 in
Diagonal is 80 in
hope it helps and good luck!
Answers:
a. Given
b. Transitive property of congruence
c. Vertical angles are congruent
d. Transitive property of congruence
Let me know if you need any clarification as to how I got those answers. They should be self-explanatory but I'm happy to clarify further if needed.
Step-by-step explanation:
this creates a right-angled triangle.
the right angle (90°) being the angle between flag pole and ground.
the angle ground-wire is 50°.
because we know that the sum of all angles in a triangle is always 180°, we know then that the angle flagpole-wire is
180 - 90 - 50 = 40°
so, we have the situation to know 1 side and all angles.
to get the other sides we use best the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and related angles are always opposite of each other.
in our case now we have
24/sin(50) = wire/sin(90) = wire/1 = wire = 31.32977494... ft
so, the rounded answer is that the wire must be
31.3 ft long
Answer:
x=12
Step-by-step explanation:
-5= x/2.4
multiply both sides by 2.4 to isolate x
-5*2.4= (x/2.4)*2.4
12=x
