I'll solve 21, and you then should be able to solve the rest on your own!
Since ADC is 135, that means that that whole angle is 135 degrees. In addition, since angles ADB and BDC add up to ADC, we get ADB+BDC=ADC=135=11x+9+7x=18x+9. Subtracting 9 from both sides, we get 126=18x. Dividing both sides by 18, we get x=7. Plugging that into 11x+9=BDC, we get 11*7+9=77+9=86
Answer:
<h3>9.43</h3>
Step-by-step explanation:
The formula for calculating the distance between two points is expressed as
D =√(x2-x1)²+(y2-y1)²
Given the coordinates (0,0) and (8,5)
D = √(5-0)²+(8-0)²
D = √5²+8²
D = √25 + 64
D = √89
<em>D = 9.43</em>
<em>Hence the distance between the life guard and the swimmer is 9.43</em>
<em></em>
Let
x = number of common cars
y = number of suvs
we can write the following system of equations
x-y = 12
x = 1.429y
Solving the system we have
x-y = 12
1.429y-y = 12
and (1,429-1) = 12
y = (12) / (1,429-1) = 27.97202797
then,
x = 1429 * (27.97202797)
x = 39.97202797
answer
The number of suvs in the parking lot is 28
50 + x ≥ 268
X ≥ 218
STEP BY STEP WORK
50 + x ≥268
-50 -50
x ≥218
Jan needs to save at least $218 for camp
Hope I helped :)