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Mandarinka [93]
2 years ago
7

Can someone tell me how to solve this?

Mathematics
1 answer:
liberstina [14]2 years ago
4 0

These two angles are equivalent because they're corresponding angles created by two parallel lines.

Since they're equivalent, we can set them equal to each other.

23x - 5 = 21x + 5

Now solve for x

23x - 5 = 21x + 5

Add 5 to both sides

23x = 21x + 10

Subtract 21x from both sides

2x = 10

Divide both sides by 2

x = 5

Now, plug in 5 as "x" in one of the equations

Angle 1 = (23*5) - 5

= 115 - 5

= 110 degrees

Since they're equivalent, Angle 2 should also be 110 degrees, but let's check in case.

Angle 2 = (21*5) + 5

= 105 + 5

= 110 degrees

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\boxed{a=\dfrac{36y^2-121+b}{y^2}}
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3 years ago
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2 years ago
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Vlad [161]

Answer:

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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.

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3 0
2 years ago
I will give brainliest<br>Help me
r-ruslan [8.4K]

Answer:

See Explanation

Step-by-step explanation:

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3 years ago
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