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
UNO [17]
3 years ago
11

What is y? What is x? What do you use to find them?

Mathematics
1 answer:
boyakko [2]3 years ago
7 0
See the attached image to see the alternate interior angles that are congruent (due to the parallel horizontal lines)

tan(angle) = opposite/adjacent
tan(31) = y/400
400*tan(31) = y
y = 400*tan(31)
y = 240.344247611024 <<-- use a calculator; make sure you are in degree mode
y = 240.3

Answer: 240.3


You might be interested in
If we inscribe a circle such that it is touching all six corners of a regular hexagon of side 10 inches, what is the area of the
Brrunno [24]

Answer:

\left(100\pi - 150\sqrt{3}\right) square inches.

Step-by-step explanation:

<h3>Area of the Inscribed Hexagon</h3>

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be 10 inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

Let segment \sf CH be a height on side \sf AB. Since this triangle is equilateral, the size of each internal angle will be \sf 60^\circ. The length of segment

\displaystyle 10\, \sin\left(60^\circ\right) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}.

The area (in square inches) of this equilateral triangle will be:

\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}.

Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:

\displaystyle 6 \times 25\sqrt{3} = 150\sqrt{3}.

<h3>Area of of the circle that is not covered</h3>

Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is 10 inches, the radius of this circle will also be 10 inches.

The area (in square inches) of a circle of radius 10 inches is:

\pi \times (\text{radius})^2 = \pi \times 10^2 = 100\pi.

The area (in square inches) of the circle that the hexagon did not cover would be:

\begin{aligned}&\text{Area of circle} - \text{Area of hexagon} \\ &= 100\pi - 150\sqrt{3}\end{aligned}.

3 0
3 years ago
How do we solve this??
jasenka [17]

Answer:

Y= 42

Step-by-step explanation:

The answer would be 42 because if x=9 and the equation is 5x you have to multiply and that will give you 45 and then subtract 3 which would give you  42

4 0
3 years ago
Read 2 more answers
Name the legs of abc
Diano4ka-milaya [45]
It looks as if "B" is the right angle so
AC is the hypotenuse
AB and BC are the legs


3 0
4 years ago
Help with 8 please I need help
Dimas [21]
You multiply the amount of mix by 3 and you milk by 3 as well...
8 0
3 years ago
The blue figure is translated _ units and _units _ from the red figure
pochemuha

Answer: The blue figure is translated 5 units left and 2 units down. It could also be said as: The Blue figure is translated -5 units on the x-axis and -2 units on the y-axis.

Step-by-step explanation:

All you have to do is a pick one of the points on the red figure and count exactly how many dots the blue figure moved left, and how many dots it moved down.

4 0
3 years ago
Read 2 more answers
Other questions:
  • On Gabriela’s first birthday, her parents gave her a $50 savings account. On every birthday after that her parents added to the
    10·1 answer
  • A boat uses two pontoons to float. Each pontoon consists of a cylinder with a hemisphere at each end, as shown. Find the total v
    8·1 answer
  • Identify all the numbered angles that are congruent to the given angle.
    6·1 answer
  • What is the domain,range ETC
    14·2 answers
  • To make 112112 dozen muffins, a recipe uses 312312 cups of flour. How many cups of flour are needed for every dozen muffins made
    14·1 answer
  • Find the value of x.<br> 5x<br> 3x-3<br> -3<br> 24<br> 44<br> x = [?]
    5·1 answer
  • What is 0.000303 in scientific notation
    9·1 answer
  • How many solutions does this equation have? 3y = –4 + 2y
    15·2 answers
  • Two angles are supplementary and one angle is 18° greater than the other. find measure of the angles.
    8·1 answer
  • I need help can somebody help me please???
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!