B because that is where they intersect
Answer:
x=90° and y=35°
Step-by-step explanation:
to get x and y first you must find the middle angles based on the information you have so:
35+90+n=180° solve for n to get what the middle angles are (since they are vertical angles they are equal) so the middle angles are both 55 degrees
and then 180-x=that angle that is also on the line with x so we'll call it k
so k+55+y=180°
we can see that y equals 35* because I noticed that those are parallel lines on the outside of the triangle so 35* and y angles are congruent and y =35°
now 35+55+k=180°
solve for the angle next to x which we called k and it is 90°
so x=90° and y=35°
after all this math I realized that if they are parallel lines then we can just use that to figure it out so use the properties to find out that x=90° and y=35°
Answer:
Model A is 9
Model B is 5
Step-by-step explanation:
At Lisa's printing Company LLC there are two kinds of printing presses model.
Let x = the number of model A printing press.
Let y = the number of the model B printing press.
model A can print 70 bucks per day and model B can print 55 bucks per day.
The total number of both models prints 905 bucks per day.
This means
70x + 55y = 905 - - - - - - - - -1
The company owns 14 total printing presses. This means
x + y = 14 - - - - - - - - - -2
x = 14-y
Put x = 14-y in equation 1
70(14-y) + 55y = 905
980 -70y + 55y = 905
-15y = 905-980= -75
y = -75 / -15= 5
x = 14-y = 14-5
= 9
The 2 small black lines through the sides of the triangle indicate that the 2 sides are the same length.
Because the 2 sides are the same the 2 bottom angles are also the same.
This means that 9x +3 = 84
Now we can solve for x:
9x +3 = 84
Subtract 3 from each side:
9x = 91
Divide both sides by 9:
x = 81 / 9
x = 9
Answer:
A random sample of 10% of all taxplayers
Step-by-step explanation:
Smaller sample sizes may not be representive of the population
