1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
EleoNora [17]
2 years ago
9

Help me out with this question (geometry)

Mathematics
1 answer:
Usimov [2.4K]2 years ago
4 0

Answer:

Step-by-step explanation:

∠UST=2 m∠2

10x+10=2(6x-1)

10x+10=12x-2

12x-10x=10+2

2x=12

x=6

m∠UST=10×6+10=70°

You might be interested in
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
Enter the equation of the line in slope-intercept form.
vitfil [10]

Answer:

y=\frac{1}{4}x

Step-by-step explanation:

the y intercept is 0

4 0
2 years ago
he has 1/6 of the pie left over. if he shares it with three friends, how much of original pie will each of the four people get?
mario62 [17]
Sharing with three friends:
1/24 of original pie
Sharing with little brother:
1/12 of original pie
3 0
2 years ago
Read 2 more answers
Please Answer ASAP <br> Math Question
MArishka [77]
If you were to factor you would do what my teacher likes to call reverse foil so it would look like this (x-9)(x+4) so what you do is you brainsrorm to see what multiplies what to get that and 9*4=36 so that is how you factor -36 to find the -9 Hope this helps if I'm correct if not I will try to find the answer
4 0
3 years ago
Correct answer gets brainliest and 5 stars
Serggg [28]

Answer:

A is false

Step-by-step explanation:

notice how in both diagrams, there are 4 triangles with lengths a, b, c, but in each diagram the triangles are just rotated and positioned differently. if there are the same amount of triangles in both diagrams, and the have equal lengths then the area of the remaining figure, should both match up.

basically the area of the big square in Step 2, is equal to both of the shaded squares, combined area, in Step 1.

3 0
2 years ago
Other questions:
  • How many times greater is 7 x 10^6 than 4.5 x 10^-1
    10·1 answer
  • Virginia bought 18 packs of envelopes for $2 each and 15 packs of thank you cards for $4 each . if she gives the cashier $100, h
    10·1 answer
  • The equation below describes a parabola. If a is negative, which way does the parabola open?
    7·2 answers
  • WILL GIVE BRAILNLIESTThe oblique pyramid has a square base. An oblique pyramid has a square base with a base edge length of 2 ce
    10·2 answers
  • Jenny says the two expressions 7a – 4 + 3a - 6 and 4a – 10 are<br> equivalent? Is she correct?
    7·2 answers
  • What is the area of the parallelogram?
    11·2 answers
  • The length of a rectangle is shown below:
    13·1 answer
  • What is 9:21 equal to in rational form
    8·1 answer
  • 88 students for 4 classes how many students per class?
    11·2 answers
  • Order the following numbers from greatest to least: 7.321, 7.3, 7.065, 7.65
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!