Since angle A = Angle B, I believe you would write it out like this:
6x+12=3x+63
subtract 3x from both sides, then subtract 12 from both sides.
3x=51
divide 51 by 3 to find x.
x=17
Now to find the measure of angle A.
A = 6(17)+12
A = 102+12
A = 114, angle A is 114 degrees.
Answer:
$17 on food per person
Step-by-step explanation:
The cost of parking a car is $5
Assuming that the friends used one car, then the parking cost=$5
Admission cost is 19
For three people, Admission cost =19*3=57
TOTAl COSTS=Parking cost+Admission cost
TOTAl COSTS=57+5=62
Remaining amount can be used for food
FOOD= 113-62=51
Therefore each person can spend 51/3=$17 on food
I hope this was helpful and clear to follow
Step-by-step explanation:
A rectangular prism is shaped like a pyramid, but the base is longer in one direction than the other. i.e. a rectangle.
A cross section of a shape is the new face that is formed when you cut a shape into two pieces with a straight cut. The problem tells us that the cross section is parallel to the base of the prism, therefore if the prism is placed on a flat surface with the base facing down, then we would be cutting horizontally.
The new face that is created on the shape after the cut, would be a rectangle due to the shape of the base.
Because the denominator (bottom number) of the fraction tells you
how many equal pieces the whole thing has been cut up into.
When you cut up the whole thing into 6 pieces, each piece is bigger
than if you cut it into 8 pieces, but less than if you cut it into 3 pieces.
The first problem’s answer is true. (P.S. If you don’t understand this type of problems then plug in variables for them. It helps check your answer and solve them too.)
The second problem’s answer is false.
First of all, I plugged in for the variable a to be 6 for the first problem. Second, I plugged in numbers for the variables and x was 5 and x was 2 for the second problem. You can check the steps in the image I took. (P.S. You can use the MathPapa calculator online to solve these problems and plug in the variables.)
(I couldn’t upload the second problem’s step by step sorry, but if you need it then just use the MathPapa calculator by plugging in numbers for the variables.)