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
4vir4ik [10]
3 years ago
9

Find the measure of angle 2. degrees

Mathematics
1 answer:
3241004551 [841]3 years ago
4 0
If\ it's\ a\ rhombus,\ then:\\\\|\angle1|=90^o\\|\angle4|=30^o\\|\angle2|=|\angle3|\\\\|\angle2|+30^o+90^o=180^o\\|\angle2|+120^o=180^o\ \ \ |subtract\ 120^o\ from\ both\ sides\\\boxed{|\angle2|=60^o}
You might be interested in
10) Mr. Parker wants to draw a floor plan of his office, which measures 15 feet wide by 17.5 feet long. He is using the scale 1
Anna71 [15]
The width of his office on the floor plan is 2.5 in.
3 0
3 years ago
Read 2 more answers
The first term in a geometric series is 64 and the common ratio is 0.75. Find the sum of the first 4 terms in the series.
maks197457 [2]

Answer:

195.25

Step-by-step explanation:

Consider geometric series  S(n) where initial term is a

So S(n)=a+ar^1+...ar^n

Factor out a

S(n)=a(1+r+r^2...+r^n)

Multiply by r

S(n)r=a(r+r^2+r^3...+r^n+r^n+1)

Subtract S(n) from S(n)r

Note that only 1 and rn^1 remain.

S(n)r-S(n)=a(r^n+1  -1)

Factor out S(n)

S(n)(r-1)=a(r^n+1  -1)

The formula now shows S(n)=a(r^n+1  -1)/(r-1)

Now use the formula for the problem

4 0
3 years ago
An online flower service sells boxes of roses. Each box contains one dozen roses of only one color. The choices are red, white,
Akimi4 [234]

Answer:

The answer is 21

Hope it helps

Please mark me as the brainliest

Thank you

6 0
3 years ago
What is this!!!!!!!!!!!!! Help !!!!!!
bezimeni [28]

Answer:

A. y=3x+6

Step-by-step explanation:

1. x=y/3 -2

2.x+2= y/3

3. 3(x+2)=y

Final Answer: y=3x+6

8 0
3 years ago
Can someone help me do part two please? It’s very important send a picture or something. I don’t even care if you tell me the st
Nataly_w [17]
<h3>Explanation:</h3>

1. "Create your own circle on a complex plane."

The equation of a circle in the complex plane can be written a number of ways. For center c (a complex number) and radius r (a positive real number), one formula is ...

  |z-c| = r

If we let c = 2+i and r = 5, the equation becomes ...

  |z -(2+i)| = 5

For z = x + yi and |z| = √(x² +y²), this equation is equivalent to the Cartesian coordinate equation ...

  (x -2)² +(y -1)² = 5²

__

2. "Choose two end points of a diameter to prove the diameter and radius of the circle."

We don't know what "prove the diameter and radius" means. We can show that the chosen end points z₁ and z₂ are 10 units apart, and their midpoint is the center of the circle c.

For the end points of a diameter, we choose ...

  • z₁ = 5 +5i
  • z₂ = -1 -3i

The distance between these is ...

  |z₂ -z₁| = |(-1-5) +(-3-5)i| = |-6 -8i|

  = √((-6)² +(-8)²) = √100

  |z₂ -z₁| = 10 . . . . . . the diameter of a circle of radius 5

The midpoint of these two point should be the center of the circle.

  (z₁ +z₂)/2 = ((5 -1) +(5 -3)i)/2 = (4 +2i)/2 = 2 +i

  (z₁ +z₂)/2 = c . . . . . the center of the circle is the midpoint of the diameter

__₁₂₃₄

3. "Show how to determine the center of the circle."

As with any circle, the center is the <em>midpoint of any diameter</em> (demonstrated in question 2). It is also the point of intersection of the perpendicular bisectors of any chords, and it is equidistant from any points on the circle.

Any of these relations can be used to find the circle center, depending on the information you start with.

As an example. we can choose another point we know to be on the circle:

  z₄ = 6-2i

Using this point and the z₁ and z₂ above, we can write three equations in the "unknown" circle center (a +bi):

  • |z₁ - (a+bi)| = r
  • |z₂ - (a+bi)| = r
  • |z₄ - (a+bi)| = r

Using the formula for the square of the magnitude of a complex number, this becomes ...

  (5-a)² +(5-b)² = r² = 25 -10a +a² +25 -10b +b²

  (-1-a)² +(-3-b)² = r² = 1 +2a +a² +9 +6b +b²

  (6-a)² +(-2-b)² = r² = 36 -12a +a² +4 +4b +b²

Subtracting the first two equations from the third gives two linear equations in a and b:

  11 -2a -21 +14b = 0

  35 -14a -5 -2b = 0

Rearranging these to standard form, we get

  a -7b = -5

  7a +b = 15

Solving these by your favorite method gives ...

  a +bi = 2 +i = c . . . . the center of the circle

__

4. "Choose two points, one on the circle and the other not on the circle. Show, mathematically, how to determine whether or not the point is on the circle."

The points we choose are ...

  • z₃ = 3 -2i
  • z₄ = 6 -2i

We can show whether or not these are on the circle by seeing if they satisfy the equation of the circle.

  |z -c| = 5

For z₃: |(3 -2i) -(2 +i)| = √((3-2)² +(-2-i)²) = √(1+9) = √10 ≠ 5 . . . NOT on circle

For z₄: |(6 -2i) -(2 +i)| = √((6 -2)² +(2 -i)²) = √(16 +9) = √25 = 5 . . . IS on circle

4 0
3 years ago
Other questions:
  • 3. Tom was using wire of the following thicknesses 0.33 mm, 0.275 mm, 0.25 mm, and 0.3 mm for some electrical work. Order the wi
    12·1 answer
  • to make mortar you mix 1 shovel of cement with 5 shovels of sand. how much sand do you need to make 30 shovels of mortar
    7·1 answer
  • What is the value of n?
    5·2 answers
  • X + 2y = -3 x - y = -12
    14·2 answers
  • Use the distributive property with factoring to find the equivalent expression.
    6·1 answer
  • mrs. houston puts 5 ounces of snack mix in each bag how many pounds of snack mix does she need to fill 32 bags
    7·1 answer
  • Add or subtract as indicated and write the result in standard form 3i+(-6-i)
    13·1 answer
  • Please help me!<br> I will give brainly
    7·2 answers
  • 8. If r(x) = x2 + 2, what is r(-3)?
    6·1 answer
  • SECOND TIME POSTING THIS CAN SOMEONE PLS HELP ME
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!