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
Vera_Pavlovna [14]
2 years ago
5

Suppose that an angle is bisected to form two smaller angles that measure (2+30)° and (8+6)° . What is the measure of the origin

al angle?
Mathematics
1 answer:
Valentin [98]2 years ago
6 0

M<A=(2+30)  M<B=(8+6)

(2+30)+(8+6)

32+14

46

M<A+B=46

Answer: The original angle measured 46 Degrees

You might be interested in
The geometric sequence a i a i ​ a, start subscript, i, end subscript is defined by the formula: a 1 = 8 a 1 ​ =8a, start subscr
frozen [14]

Question:

The geometric sequence ai is defined by the formula: a₁ = 8, aᵢ = aᵢ₋₁(-1.5 ).

Find the sum of the first 20 terms in the sequence. Choose 1 answer:

Answer:

The sun of 20 terms of the progress is -10,637.621536256

Step-by-step explanation:

Given

Geometric Sequence

a₁ = 8

aᵢ = aᵢ₋₁(-1.5 )

First, the common ratio needs to be calculated.

The common ratio is the ratio of a term to its previous term.

In other words,

Ratio = 2nd term ÷ 1st term or 3rd term ÷ 2nd term, ...... Etc.

We can calculate the common ratio from aᵢ = aᵢ₋₁(-1.5 ) by dividing both sides by aᵢ₋₁. This gives

aᵢ / aᵢ₋₁ = aᵢ₋₁(-1.5 ) / aᵢ₋₁

aᵢ / aᵢ₋₁ = -1.5

So, the common ratio, r = -1.5

Now that we've had the common ratio and first term to be -1.5 and 8 respectively, the sum of 20 terms can then be calculated using the sum of n terms formula.

Sₙ = a(1 - rⁿ)/(1 - r)

We're making use of this formula because r is less than 1

Where n = 20

a = first term = 8

r = -1.5

By substituting these values; we get

S₂₀ = 8(1 - (-1.5)²⁰)/(1 - (-1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (3325.25673008

))/(2.5)

S₂₀ = 8(1 - 3325.25673008

)/(2.5)

S₂₀ = 8(-3324.25673008

)/(2.5)

S₂₀ = -10,637.621536256

5 0
3 years ago
In the number 3,287,854 how many times greater is the value of the 8 in the ten thousands place compared to the value of the 8 i
olga55 [171]

8 in the 10,000s place is worth 80,000.

8 in the hundreds place is worth 800.

80,000/800 = 100

Answer: 100 times.

6 0
3 years ago
Read 2 more answers
Need help w this please
rusak2 [61]
Solved using proportions.

8 0
3 years ago
a. It is important to label all your variables and expressions clearly because: it will help you get your equations set up c. it
sveticcg [70]

Answer:

I'm pretty sure it's A. It will help you get your equations set up correctly

Step-by-step explanation:

For anyone needing this answer in the future lol

3 0
3 years ago
Please help I am so lost!!!
ASHA 777 [7]
\bf tan\left( \frac{x}{2} \right)+\cfrac{1}{tan\left( \frac{x}{2} \right)}\\\\&#10;-----------------------------\\\\&#10;tan\left(\cfrac{{{ \theta}}}{2}\right)=&#10;\begin{cases}&#10;\pm \sqrt{\cfrac{1-cos({{ \theta}})}{1+cos({{ \theta}})}}&#10;\\ \quad \\&#10;&#10;\cfrac{sin({{ \theta}})}{1+cos({{ \theta}})}&#10;\\ \quad \\&#10;&#10;\boxed{\cfrac{1-cos({{ \theta}})}{sin({{ \theta}})}}&#10;\end{cases}\\\\

\bf -----------------------------\\\\&#10;\cfrac{1-cos(x)}{sin(x)}+\cfrac{1}{\frac{1-cos(x)}{sin(x)}}\implies \cfrac{1-cos(x)}{sin(x)}+\cfrac{sin(x)}{1-cos(x)}&#10;\\\\\\&#10;\cfrac{[1-cos(x)]^2+sin^2(x)}{sin(x)[1-cos(x)]}\implies &#10;\cfrac{1-2cos(x)+\boxed{cos^2(x)+sin^2(x)}}{sin(x)[1-cos(x)]}&#10;\\\\\\&#10;\cfrac{1-2cos(x)+\boxed{1}}{sin(x)[1-cos(x)]}\implies \cfrac{2-2cos(x)}{sin(x)[1-cos(x)]}&#10;\\\\\\&#10;\cfrac{2[1-cos(x)]}{sin(x)[1-cos(x)]}\implies \cfrac{2}{sin(x)}\implies 2\cdot \cfrac{1}{sin(x)}\implies 2csc(x)
4 0
3 years ago
Other questions:
  • I need to know this by today
    9·1 answer
  • Find the area of the figure and type your result in the empty box.
    8·1 answer
  • Mary predicts that the store will see 4,238 customers next week. Approximately how many high school students should the
    13·1 answer
  • Which of the following has 104.0032 in written form?
    12·1 answer
  • If y=-18 when x=6 find x when y=6
    13·1 answer
  • A local little has a total of 60 players ,of whom 40%are right-handed how many are right handed
    10·2 answers
  • At Fairview middle school 75 being members need to raise a total of $8250 for a trip so far they have is $3120 how much money in
    6·1 answer
  • Help pls i will mark u brainliest if u answer both 13 and 14
    13·1 answer
  • What is the distance between the points (4, 7) and (4, −5)?
    15·1 answer
  • Mr. Grant's credit card bill was $2,684.72. If he has already paid off $1,865.24 of the amount due, how much more does he have t
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!