Bearing in mind that an absolute value expression is in effect a piece-wise function with two cases, thus
In triangle ABC, the size of angle B is 3 times the size of angle A, and the size of angle C is 12degrees less than 6 times th
1 answer:
Answer:
Step-by-step explanation:
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
----> equation a
----> equation b
----> equation c
Solve the system by substitution
Substitute equation b and equation c in equation a
Solve for A
Find the measure of angle B
Find the measure of angle C
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Answer:
The Perimeter of the Figure to the nearest tenth is 18.7 units
Step-by-step explanation:
Please note I have attached an edited version of your sketch to aid my solution. Now this question can be solved in multiple ways. Here, we shall see one of them. Looking at the original sketch, we can see that the figure is actually a combination of a Triangle (Figure 1 in my sketch) and a rectangle (Figure 2 in my sketch). So we can simply find the sides of a Triangle and the sides of a Rectangle and add them. Perimeter on Figure 1:The Perimeter of a Triangle is given by the Sum of the three sides as:
AT=a+b+c
Perimeter on Sketched Figure:The perimeter of the total figure will be two sides of the triangle and the three sides of the rectangle (as the one adjacent between Fig. 1 and 2 can not be taken into account). Thus we need to find 5 different sides and add them together. Now since the figure is on a graph paper, we can read of the size of some sides, thus the left side of the triangle is units and the base of the triangle is also units. Now to find the last unknown side we can take Pythagorian theorem, since our triangle is a Right triangle, (i.e. one angle is 90°). Pythagoras states that the squared of the hypotenuse of a right triangle is equal to the sum of the squares of the other two legs of the triangle (where the hypotenuse side is always across the 90° angle. So here we can say that: where is the hypotenuse and our unknown side. So plugging in values and solving for we have: units.
Perimeter on Figure 2:
The Perimeter of the Rectangle is given by:
Ar=2(w+l)
Division of a fraction is the equivalent of multiplying by its reciprocal
ex.
i suggest you try to remember this concept
in terms of your question
from this point, just multiple the numerators together and denominators together, then simplify if necessary
fyi- difference of squares
relating that to
also a side note, you might want to factor out the 4 first in the top fraction
ex.
i suggest you try to remember this concept
in terms of your question
from this point, just multiple the numerators together and denominators together, then simplify if necessary
fyi- difference of squares
relating that to
also a side note, you might want to factor out the 4 first in the top fraction