The slope is 16/0 which means it is undefined
Q + d = 16....q = 16 - d
0.25q + 0.10d = 3.10
0.25(16 - d) + 0.10d = 3.10
4 - 0.25d + 0.10d = 3.10
-0.25d + 0.10d = 3.10 - 4
-0.15d = -0.90
d = -0.90/-0.15
d = 6...dimes
q + d = 16
q + 6 = 16
q = 16 - 6
q = 10...quarters
so there are (10 - 6) = 4 more quarters then dimes
To solve this problem, all we need to do is just set up a proportion. The two shapes are similar, which means that they are the same shape, but different sizes. Using the wording/letter arrangement in the problem, we can figure out which side of one triangle corresponds to which side of the other triangle.
Triangle LMV (with segments LM, MV, and VL) is similar to triangle UTK (with segments UT, TK, and KU).
Corresponding pairs:
LM(x) : UT(39)
MV(30) : TK(65)
VL : KU
However, we need only be interested in the first two pairs. Here is the proportion with letters:
LM / UT = MV / TK
and as numbers:
x / 39 = 30 / 65
Solve for x:
x / 39 = 30 / 65
Cross multiply:
(x)(65) = (39)(30)
Simplify:
65x = 1170
Divide:
65x/65 = 1170 / 65
Simplify:
x = 18
<h2>Answer:</h2>
The length of side LM (x) in triangle LMV is 18 units.
Answer:
25 cups of tea
Step-by-step explanation:
On the x-axis, we have the number of cups of coffee plotted against the number of cups of tea which are plotted on the y-axis to represent the daily sales goals.
From the graph, when 20 cups of coffee are sold (x = 20), a corresponding sales of 25 cups of tea (y = 25) would be sold as well to meet the sales goal.
Therefore, when employees sell 20 cups of coffee, 25 cups of tea must be sold to meet their goal.
Answer:
1 7/18
Step-by-step explanation:
5/9 + 5/6 write all numerators above the least common denominator which is 18.
10+15/18 then you add the numerators which will make it 25/18 which alternative form will be 1 7/18, or in decimal 1.38
