Answer:
x = 8
Step-by-step explanation:
The triangle is isosceles with legs congruent, both x
Using Pythagoras identity in the right triangle
x² + x² = 16²
2x² = 256 ( divide both sides by 2 )
x² = 128 ( take the square root of both sides )
x =
=
=
×
= 8
Answer:
d = 6
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₄ = 23 and a₁₁ = 65 , then
a₁ + 3d = 23 → (1)
a₁ + 10d = 65 → (2)
Subtract (1) from (2) term by term to eliminate a₁
10d - 3d = 65 - 23
7d = 42 ( divide both sides by 7 )
d = 6
Answer:
x=-5-2yi/3+4i
y=3xi/2+6+15i/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
39°
Step-by-step explanation:
For a straight line, the sum of angle is 180°
At the point where we have the 107°, the inner angle in the triangle will be 180-107=73°
68° is alternate angle to the inner angle in the triangle
Since the sum of angles in a triangle are 180°, then angle x will be
X=180-73-68=39°
Therefore, missing angle is 39°