Answer:
<em>Measure of one of the interior angles ⇒ 90°</em>
Step-by-step explanation:
If we are considering a regular polygon, all sides are ≅, respectively all angles are ≅ as well;
Now any quadrilateral has total interior angle measure of 360 degrees, provided they each can be split into two triangles and hence knowing a triangle is 180 degrees each, ⇒ 180 * 2 = 360°;
So if all these angles are ≅, we can claim that;
m∠ 1 = m∠ 2 = x = m∠ 3 = m∠ 4, where ∠1, 2, 3, and 4 are interior angles
x + x + x + x = 360 degrees ( ° ),
4x = 360°,
x = 90° = m∠ 1 = m∠ 2 = m∠ 3 = m∠ 4,
<em>Solution; Measure of one of the interior angles⇒ 90°</em>
Answer:
t0 = π/4
Step-by-step explanation:
The velocity v(t) = r'(t) = <-2sint,-2cost>
Since <1,-1>⊥v, <1,-1>•v=0. So,
(1)(-2sint) + (-1)(-2cost) = 0
cost - sint = 0
Answer:
y - 6 = - 7(x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (5, - 8)
m = 
= 
= - 7
Use either of the 2 points for (a, b)
Using (3, 6), then
y - 6 = - 7(x - 3) ← in point- slope form
Answer:
x = 41°, y = 139°
Step-by-step explanation:
The given parameters are;
Line <em>m</em> is parallel to line <em>n</em> and lines <em>m</em> and <em>n</em> have a common transversal
The corresponding angles formed by the common transversal to the two parallel lines are 41° on line <em>m</em> and <em>x°</em> on line <em>n</em>
Therefore, x° = 41° by corresponding angles formed between on two parallel lines by a common transversal are equal
x° and y° are linear pair angles and they are, supplementary
∴ x° + y° = 180°
∴ x° + y° = 41° + y° = 180°
y° = 180° - 41° = 139°
y° = 139°.
