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Deffense [45]
2 years ago
7

HELP PLEASE ASAP!!!!

Mathematics
1 answer:
denis-greek [22]2 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Vertical angles are congruent, hence

2z + 43 = - 10z + 25 ( add 10z to both sides )

12z + 43 = 25 ( subtract 43 from both sides )

12z = - 18 ( divide both sides by 12 )

z = \frac{-18}{12} = - \frac{3}{2}

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I will mark brainliest IF CORRECT
umka2103 [35]

Answer:

1 - (π/6) - (√3/4)

Step-by-step explanation:

First, calculate the area of ABCD. That's just 1*1 = 1 un^{2}

Then, we are told that arcs BD and AC are circular, meaning they are portions of a circle. Therefore, let's redraw this image a little. Look below for the image.

Essentially, what I've done is created an equilateral triangle and two sectors. You may be wondering why the triangle is equilateral. Well, we firstly know it's isosceles because the two original arcs are circular and congruent. Their overlap creates two congruent lines that can be extend from point M to the vertices A and D. These two lines also happen to be radii of the quarter circles because the two sectors have AM AND AD as radii. AM and AD = 1, so AMD is an equilateral triangle.

Draw altitude OD. This is a right angle. Since equilateral triangles are also isosceles triangles, and isosceles triangles have the property of sharing the median to base and altitude to base, we can say that OD = \frac{1}{2} AD = \frac{1}{2}. MD = 1, so this triangle is a 30-60-90 triangle. Why? This is because of the 30º angle converse theorem. The shorter leg is half of the hypotenuse MD, so <OMD is a 30º angle, making <ODM a 60º angle and inevitably <MDC a 30º angle (because <D is a right angle) and <ABM as well because the two sectors are congruent.

Because m<ABM = m<MDC = 30º, these two sectors are 30/360 of the individual circles or 1/12 of the original circles, which have areas of π (because 1^2*π = π). Each is 1/12π, combined they are 1/6π.

The area of the equilateral triangle is √3/8. This is because MO can be calculated, using the 30-60-90 ratios, to be √3/2. (1 * √3/2)/2 = (√3/2)/2 = √3/4; this uses the area of a triangle. Now, time to calculate the shaded area.

The area of the square is 1, the area of the sectors π/6, and the equilateral triangle √3/4. Subtract the equilateral triangle and sectors' areas from the area of the square to be left with the remaining shaded part. 1-(π/6)-(√3/4) is your final answer. To put that a little more cleanly below in the image.

Hope this helps, have a great day.

3 0
2 years ago
Pleasee helppppp im so close to being done and this is my last day !!
Vaselesa [24]

ANSWER FOR UR QUESTION!

Graph

Find f(f(x))

Describe the Transformation

Find the Domain of the Composition f(f(x))

Solve for x

Solve the System of Equations

Find the Area Between the Curves

Solve by Graphing

7 0
2 years ago
-6×f (-3) -5×g(-7) =
polet [3.4K]

Answer:

=18fx+35gx

Step-by-step explanation:

I think.. Ask your teacher if it's right have a good day :)

4 0
3 years ago
Help me. The last person who answered this question just asked me for personal info.... so please just answer the question...
Lelechka [254]

Answer:

Step-by-step explanation:

so the least common denominator is 12, so:

multiply 3/4ab by three, which equals: 9/12ab

9/12ab-5/12ab = 4/12ab, or 1/3ab

3 0
2 years ago
Assume the line between (-4, 4) and (-4, -4) will form one side of a right triangle. When (-4, 4) is reflected over both axes to
xxMikexx [17]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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