Ok lets say
popcorn = x and
drinks = y
Jacob: 2x + 3y = 18.25
Zachary: 4x + 2y = 27.50
ok now you have to use these 2 equations to get the answer
4x + 2y = 27.50 ---> 2y = 27.50 - 4x ---> y = 13.75 - 2x
2x + 3y = 18.25
2x + 3(13.75-2x) = 18.25
2x + 41.25 - 6x = 18.25
-4x + 41.25 = 18.25
-4x = -23
x = 5.75 <u><em>One bag of popcorn is $5.75</em></u><em />
4x + 2y = 27.50
4(5.75) + 2y = 27.50
23 + 2y = 27.50
2y = 4.50
y = 2.25 <u><em>One drink is $2.25</em></u><em />
A rigid transformation is
defined to be one in which the pre-image of the object and its new image after
the transformation both have the exact same size and shape. So the answer
in this question is:
<span>D. a circle's shape is preserved regardless of any rigid
transformation</span>
The amounts for each donut are given as follows:
<h3>How to obtain the amounts?</h3>
The amounts for each donut are found applying the proportion, multiplying the decimal equivalent of each percentage by the total number of donuts.
From the problem, the total number of donuts is given as follows:
100 donuts.
The percentages of each type of donuts are given as follows:
The decimal equivalent of each percentage is given as follows:
Hence the amounts are given as follows:
- Strawberry: 15, as 0.15 x 100 = 15.
- Chocolate: 45, as 0.45 x 100 = 45.
- Sprinkle: 40, as 0.4 x 100 = 40.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
Solution:
Vertical angles are a pair of opposite angles formed by intersecting lines. re vertical angles. Vertical angles are always congruent.
These two angles (140° and 40°) are Supplementary Angles because they add up to 180°:
Notice that together they make a straight angle.
Hence,
From the image
The following pairs form vertical angles
Hence,
One pair of the vertical angles is ∠1 and ∠3
Part B:
Two angles are said to be supplementary when they ad together to give 180°
Hence,
From the image,
The following pairs are supplementary angles
Hence,
One pair of supplementary angles is ∠5 and ∠6
