Answer:
68°
Step-by-step explanation:
As BA⊥BD, so ∠ABD = 90°
also, ∠ABD = ∠CBD + ∠ABC
⇒ 90° = 4x + 52° + 8x - 10°
⇒ 12x = 48°
⇒ x = 4°
now,
∠CBD = 4x + 52°
= 4(4°) + 52°
= 68°
Answer:
He will bike <u>26.87 miles</u>.
Step-by-step explanation:
Given:
Jordan bikes at a speed of 8 2/3 mph.
Now, to find the distance he will bike in 3 hours and 6 minutes.
<u><em>Speed</em></u> = 
<u><em>Time</em></u> = 3 hours and 6 minutes
= 
As, 60 minutes = 1 hour.
= 
So, to get the distance we put formula:




Therefore, he will bike 26.87 miles.
Answer:
15 B
16 B
17 A
Step-by-step explanation:
A triangle is a figure with three sides.
Which can be re-written in the if-then form as If the figure is a triangle then it has three sides.
The elevator has a MAX capacity of 8 people. This means that only 8 or less people can be on the elevator at a time. If c = # of people then c must be less than or equal to 8 as the elevator has a max capacity of 8 people. Hence the mathematical statement would be c ≤ 8
When the inequality sign is facing the "y" the solutions to the set can be found above the line. This could also be checked by graphing.
Answer:
x equals 10
Step-by-step explanation:
All triangles have 180 degrees
The bottom left angle is a right angle and is therefore 90°
That leaves us with x+8x=90°
9x=90°
x=10°
Only two real numbers satisfy x² = 23, so A is the set {-√23, √23}. B is the set of all non-negative real numbers. Then you can write the intersection in various ways, like
(i) A ∩ B = {√23} = {x ∈ R | x = √23} = {x ∈ R | x² = 23 and x > 0}
√23 is positive and so is already contained in B, so the union with A adds -√23 to the set B. Then
(ii) A U B = {-√23} U B = {x ∈ R | (x² = 23 and x < 0) or x ≥ 0}
A - B is the complement of B in A; that is, all elements of A not belonging to B. This means we remove √23 from A, so that
(iii) A - B = {-√23} = {x ∈ R | x² = 23 and x < 0}
I'm not entirely sure what you mean by "for µ = R" - possibly µ is used to mean "universal set"? If so, then
(iv.a) Aᶜ = {x ∈ R | x² ≠ 23} and Bᶜ = {x ∈ R | x < 0}.
N is a subset of B, so
(iv.b) N - B = N = {1, 2, 3, ...}