Answer:
1. B. BD
2. C. 15
3. A. 2
Step-by-step explanation:
1. From the figure,
∠DAB = ∠DAC
Therefore, BD is the bisector of ∠ABC.
2. From the figure, IG = GH
3x = 5x - 10
10 = 5x - 3x
2x = 10
x = 5
So, GH = 5x - 10
= 5(5) - 10
= 25 - 10
= 15
Therefore, GH = 15.
3. From the figure,
∠DAB = ∠DAC
10y = 8y + 4
10y - 8y = 4
2y = 4
y = 2
The slope-intercept form of a line is:
y=mx+b
m=slope=(y2-y1)/(x2-x1)
b=y-intercept (the value of y when x=zero)
Answer:
b = 10
Explanation:
Lets start by combining like terms (b):
3/2b + 1/5b
to combine these fractions you must get them to both have the same denominator:
3/2 · 5/5 = 15/10 multiply top and bottom by other fractions denominator
1/5 · 2/2 = 2/10 multiply top and bottom by other fractions denominator
15/10 + 2/10 = 17/10
17/10b = 17
Now we want to get the b to be by itself, so lets first multiply both sides by 10:
17b = 170
Now lets divide both sides by 17:
b = 10
Hope this helped!
A=bh {A} stands for the area, {b} stands for the length of your parallelogram, and {h} stands for the height of your parallelogram.
T= # of rental hours
Multiply number of hours rented by the cost per hour, add that total to the reservation fee. The total needs to be less than $91.
Reservation + ($ per hr * # hrs) < $91
$19 + $6t < $91
subtract 19 from both sides
6t < 72
divide both sides by 6
t < 12
ANSWER: To spend less than $91, they need to rent the room less than 12 hours.
Hope this helps! :)
