The unlabeled part of the right angle is complementary to 68 degrees, so 22 degrees. y is supplementary to 78 degrees, so 102 degrees. z as the third angle in the small triangle is 180 less than the sum of the other two,
z = 180 - 22 - 102
Answer: 56 degrees
Let x be the price of a cupcake.
There are 24 cupcakes so it will be 24x.
Solution:
24x+16=52
24x=52-16
24x=36
Divide both sides by 24
X=1.5.
The price of each cupcake is 1.5$
Answer:
Step-by-step explanation:
isn't it already a fraction or is it a division
if it's a division then yes
the answer is 5 and 2/8
The Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.
<h3>What is the slope of line?</h3>
The slope of a line segment is a measure of the steepness of the line segment. It is the ratio of rise (the change in vertical height between the endpoints) over run (the change in horizontal length between the endpoints.
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line.
Midpoints of 1 line segment are -
= (2+0 / 2 , 4-2 / 2)
= (1,1)
Mid points of line 2 =
= (5+1 / 2, 1+5 / 2)
= (3,3)
slope -
The required slope = rise / run
= (y1-y2)/(x1-x2)
= (1-3)/(1-3)
= 1
Therefore, the Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.
To learn more about slope and mind-points from the given link
brainly.com/question/5792883
#SPJ4
In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.
In exponential models there is a constant multiplicative rate of change.
The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.
We can test that using several pair of points.
The multiplicative rate of change is calcualted in this way:
[f(a) / f(b) ] / (a - b)
Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)
[12.5 / 5] / (2 - 1) = 2.5
[5 / 2] / (1 - 0) = 2.5
[2 / 0.8] / (0 - (-1) ) = 2.5
Then, do doubt, the answer is 2.5
