For this case, the first thing we must do is define variables.
m: number of times you cut the grass
d: amount of dollars you earn.
We now write the linear equation that models the problem:
d = 12m
The slope of the line is 12, which means that each time you cut the grass, you earn 12 dollars.
Answer:
an equation for the number of dollars, d, you earn when you mow the lawn m times is:
d = 12m
33. 15x10=150x9
the answer is b
34. a
Answer:
I think the answer is B(3,4).
Step-by-step explanation:
It is that answer because that answer is the only one that stops with and x factor and a y factor.
Arranging the given distances from sea level on the number line, we have;
- The error made by taking Egypt as being further from the sea level is assuming that the sea level is at the beginning (left) of the number line.
<h3>How can the number line be used to find the distance from the sea level?</h3>
The given elevation of the lowest points in the six countries are;
Country. Lowest point elevation (m)
China. →. -154
Egypt →. -133
Azerbaijan → -28
Serbia. →. 35
Israel. → -408
Laos. →. 70
Sorting the above countries from the country with the lowest point below sea level to the country with the highest point above sea level gives;
Israel → -408
China → -154
Egypt → -133
Azerbaijan → -28
Serbia. → 35
Laos. →. 70
On a number line, we have;
Israel < China < Egypt < Azerbaijan < Serbia < Laos
Relative to zero, which is the sea level, points -133 and -154 are located to the left of zero.
However, point -133 > -154, therefore, -154 < -133, the symbol < represents lesser (in this case 'lower') which indicates that China (point -154) is lower or further left from zero which is the sea level than Egypt (point -133).
The error is therefore mistaking the location of the sea level as being at the extreme left of the number line, rather than at the middle.
Learn more about the number line here:
brainly.com/question/4727909
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<h3>
Answer: </h3><h3>
Yes, the triangles are similar</h3><h3>
AC = 6</h3>
======================================================
Explanation:
Focus on triangle ABC. Let's find the missing angle
A+B+C = 180
113+B+22 = 180
B+135 = 180
B = 180-135
B = 45
Between the triangles, have two pairs of angles that are congruent
A = D = 113
B = E = 45
Which is enough to prove the triangles are similar through the angle angle (AA) similarity theorem. This must mean that C = F = 22
Since we have A pair with D, and B pair with E, this means that
The order of the letters is important so we know how the angles pair up. The first letters pair up together, the second letters pair up, and so on.
Consequently, this means sides BC and EF pair up and AC and DF pair up
We can then say...
BC/EF = AC/DF
18/12 = x/4
18*4 = 12*x
72 = 12x
12x = 72
x = 72/12
x = 6
AC = 6