Answer:
logc(x) > logd(x)
Step-by-step explanation:
ANSWER:
A and B aren't parallel lines, as the alternate angles aren't equivalent to each other.
For m angle 1 -
Vertically opposite angles are equivalent to each other.
m angle 1 is vertically opposite m angle 4.
Therefore:
m angle 4 = 100
m angle 1 = m angle 4
m angle 1 = 100
For m angle 6 -
Co-interior angles add up to 180°.
m angle 4 and m angle 6 are co-interior angles.
Therefore:
m angle 4 = 100
m angle 4 + m angle 6 = 180
100 + m angle 6 = 180
m angle 6 = 180 - 100
m angle 6 = 80
For m angle 7 -
Vertically opposite angles are equivalent to each other.
m angle 6 is vertically opposite m angle 7.
Therefore:
m angle 6 = 80
m angle 7 = m angle 6
m angle 7 = 80
For m angle 8 -
Corresponding angles are equivalent to each other.
m angle 8 and m angle 4 are corresponding angles.
Therefore:
m angle 4 = 100
m angle 8 = m angle 4
m angle 8 = 100
Hence, the angles are as follows:
m angle 1 = 100
m angle 6 = 80
m angle 7 = 80
m angle 8 = 100
Hope this helps! <3
Answer:
cos ∠CBD = - 4√41 / 41
Step-by-step explanation:
AB = 4 ΔABC = (4 x AC) / 2 = 10
AC = 5
BC = √5² + 4² = √41
cos ∠CBD = cos (180° - ∠CBA) = cos 180° cos ∠CBA + sin 180° sin ∠CBA
(cos 180° = - 1 sin 180° = 0 cos ∠CBA = 4 / √41 )
cos ∠CBD = (-1) x cos ∠CBA = - 4 / √41 = - 4√41 / 41
ANSWER
D. 25 feet
EXPLANATION
The height of the wall,h, the taut wire and the distance from the base of the pole to the point on the ground, formed a right triangle.
According to the Pythagoras Theorem, the sum of the length of the squares of the two shorter legs equals the square of the hypotenuse.
Let the hypotenuse ( the length of the ) taught wire be,l.
Then
