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asambeis [7]
3 years ago
9

Gradient of a straight line that is perpendicular to y = 4x + 2

Mathematics
1 answer:
lana66690 [7]3 years ago
5 0
If a line's slope is \frac{a}{b}, the slope of the perpendicular line is -\frac{b}{a}
in this case, the given line has a slope 4, which is 4/1, so the perpendicular line has a slope/gradient -\frac{1}{4}
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Are these triangles similar, if so how do I prove it(SSS,AA or SAS)?
spin [16.1K]

Answer:

There isn't a way to prove that the triangles are similar.

Explanation:

Two triangles are similar if they have the same interior angles and the corresponding sides are proportional.

So, to prove that the triangles are similar we can use:

SSS: The three corresponding sides are proportional

SAS: Two sides are proportional and the angle between them is equal

AA: Two angles have the same measure.

In this case, the yellow angles are equal because they are vertically opposite. They are formed by two lines that intersect.

On the other hand, the side with length 3.6 is corresponding with the side with length 9 but the side with length 4.8 is not corresponding with the side with length 12.

Then, there isn't a way to prove that the triangles are similar.

3 0
1 year ago
There are 70 sixth graders at Wilson Middle School. Only 40% of the sixth graders will attend the morning assembly. How many six
Evgesh-ka [11]

Answer:

28 sixth graders will attend

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which term best describes the graph of y = x - 1
velikii [3]
A (it’s a slight increase)
if you have a TI-84 calculator you could solve this problem in seconds.
3 0
3 years ago
A manager hires labour and rents capital equipment in a very competitive market. Currently the wage rate is GH¢2 per hour and ca
Veseljchak [2.6K]

Solution :

It is given that the manager hires a labor and he rents the capital equipment \text{in a very competitive market}.

Presently the rate of the wage is at $ 10 per hour and the capital is been rented at $ 0.25. If the \text{marginal product} of the labor is 50 units of the output per hour and the marginal.

Therefore, the answer is

14 + 10 = 24

8 0
3 years ago
Calculate the mean given the frequency table
ratelena [41]

Answer:

15.6

Step-by-step explanation:

First, multiply the midpoint of each class by its frequency, as follows:

            Class      midpoint   frequency   midpoint*frequency  

            0-9         4.5             24                4.5*24 = 108

            10-19      14.5            20                14.5*20 = 290

            20-29    24.5           32                24.5*32 = 784

Total                                      76               1182

The mean is computed as the division between the addition of the "midpoint*frequency" column by the addition of "frequency" column.

mean = 1182/76 ≈ 15.6

 

5 0
3 years ago
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