Answer:
∠A and ∠G is the pair of vertical angles.
Step-by-step explanation:
From the figure attached,
Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.
Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."
Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.
From the given options,
∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.
Answer:
[-5, 4) ∪ (4, ∞)
Step-by-step explanation:
Given functions:
Composite function:
![\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%28f%5C%3Ao%5C%3Ag%29%28x%29%26%3Df%5Bg%28x%29%5D%5C%5C%20%26%20%3D%5Cdfrac%7B1%7D%7B%5Csqrt%7Bx%2B5%7D-3%7D%20%5Cend%7Baligned%7D)
Domain: input values (x-values)
For 
to be defined:
Therefore, 
and 
⇒ [-5, 4) ∪ (4, ∞)
Answer:
y=29
Step-by-step explanation:
Replace x with 7:
y=8+3(7)
Multiply 7 and 3:
y=8+21
Add together:
y=29
Answer:
1, 2 and 4 option - Yes
3 option - No
Step-by-step explanation:
<u>Definition: </u>Vertical angles are the angles opposite each other when two lines cross.
By the definition options
- they are formed by intersecting lines,
- they are opposite to each other
are true.
Vertical Angles Theorem states that vertical angles are congruent. Thus, option
is true.
Option
- they are always supplementary
is false, because supplementary are angles that add up to 180°, but vertical angles can have different measures which do not add up to 180°.
Answer:
18ft
Step-by-step explanation:
