Answer:
56°
Step-by-step explanation:
2x+3x+5=90
5x=90-5
5x=85
x=85÷5
x=17
m<2=3x+5=3(17)+5=51+5=56
Answer:
(x - 7)² + (y - 3)² = 5
Step-by-step explanation:
The center (h , k) is the midpoint of two end points of diameter
h = (9 + 5) / 2 = 7
k = (4 + 2) / 2 = 3
Equation of circle: (x - h)² + (y - k)² = r²
r = (√(9 - 5)² + (4 - 2)²) / 2 = √5
Equation: (x - 7)² + (y - 3)² = 5
Answer:
correct answer is x = 2.75
Step-by-step explanation:
Given;
AB = 2x-5
BC = 6x
AC = 27
Hence,
=> AC = AB + BC
=> 27 = 2x-5 + 6x
=> 27 = 8x-5
=> 27-5 = 8x
=> 22 = 8x
=> 22/8 = x
=> 11/4 = x
or
2.75 = x
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:
The second answer is correct.
Step-by-step explanation: