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
Anastaziya [24]
3 years ago
13

If two of these congruent angels have the same degree measure and angle 1 is (3x+10)degrees and Angie 2 is (5x-4) degrees set th

e expressions equal to one another and find the degree measure
Mathematics
1 answer:
ddd [48]3 years ago
3 0

Answer:

31°

Step-by-step explanation:

3x + 10 = 5x - 4 ... - 3x and +4 both side

14 = 2x

x = 7

angle 1 and angle 2: 5 x 7 - 4 = 31°

check: 3 x 7 + 10 = 31°

You might be interested in
Integrate cosx/sqrt(1+cosx)dx
Step2247 [10]
<span>Take the integral: integral (cos(x))/sqrt(cos(x)+1) dx
For the integrand (cos(x))/sqrt(1+cos(x)), substitute u = 1+cos(x) and du = -sin(x) dx: = integral (u-1)/(sqrt(2-u) u) du
For the integrand (-1+u)/(sqrt(2-u) u), substitute s = sqrt(2-u) and ds = -1/(2 sqrt(2-u)) du: = integral -(2 (1-s^2))/(2-s^2) ds
Factor out constants: = -2 integral (1-s^2)/(2-s^2) ds
For the integrand (1-s^2)/(2-s^2), cancel common terms in the numerator and denominator: = -2 integral (s^2-1)/(s^2-2) ds
For the integrand (-1+s^2)/(-2+s^2), do long division: = -2 integral (1/(s^2-2)+1) ds
Integrate the sum term by term: = -2 integral 1/(s^2-2) ds-2 integral 1 ds
Factor -2 from the denominator: = -2 integral -1/(2 (1-s^2/2)) ds-2 integral 1 ds
Factor out constants: = integral 1/(1-s^2/2) ds-2 integral 1 ds
For the integrand 1/(1-s^2/2), substitute p = s/sqrt(2) and dp = 1/sqrt(2) ds: = sqrt(2) integral 1/(1-p^2) dp-2 integral 1 ds
The integral of 1/(1-p^2) is tanh^(-1)(p): = sqrt(2) tanh^(-1)(p)-2 integral 1 ds
The integral of 1 is s: = sqrt(2) tanh^(-1)(p)-2 s+constant
Substitute back for p = s/sqrt(2): = sqrt(2) tanh^(-1)(s/sqrt(2))-2 s+constant
Substitute back for s = sqrt(2-u): = sqrt(2) tanh^(-1)(sqrt(1-u/2))-2 sqrt(2-u)+constant
Substitute back for u = 1+cos(x): = sqrt(2) tanh^(-1)(sqrt(sin^2(x/2)))-2 sqrt(1-cos(x))+constant
Factor the answer a different way: = sqrt(1-cos(x)) (csc(x/2) tanh^(-1)(sin(x/2))-2)+constant
Which is equivalent for restricted x values to:
Answer: | | = (2 cos(x/2) (2 sin(x/2)+log(cos(x/4)-sin(x/4))-log(sin(x/4)+cos(x/4))))/sqrt(cos(x)+1)+constant</span>
3 0
3 years ago
A study was conducted in order to estimate μ, the mean number of weekly hours that U.S. adults use computers at home. Suppose a
777dan777 [17]

Answer:

The point estimate for \mu is 8.5 hours.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

In this problem

We are working with a sample of 81 adults, so the point estimae of the mean  is the mean number of weekly hours that U.S. adults use computers at home.

So, the point estimate for \mu is 8.5 hours.

6 0
3 years ago
How do I solve this, it's not 10
guapka [62]

Answer:

26.7

Step-by-step explanation:

This is the answer because 26.7/20 = (16+26.7)/32

When two triangles are similar, it means their sides are also proportional. The reason why it is not ten is because you need to add 10 to 16 to the large triangle as well, which no longer makes it proportional.

To solve, you create a formula.

(16+x)/32=x/20

Multiply both sides by 32 to get rid of the 32 in the left side.

16+x=32x/20

Multiply both sides by 20 to get rid of the 20 right side.

320+20x=32x

-20x on both sides to get all the variables on one side and all the nukbers on the other.

320=12x

Divide both sides by 12 to get x by itself

x=26.66667

4 0
2 years ago
Raul is saving up to buy a used motorcycle for $700. He can save $50 per month. How
Margarita [4]
14 months.

$50 x 14months = $700
8 0
3 years ago
Lesson 9 problem set <br> 5.1
Elodia [21]
Do you have any pictures?

4 0
3 years ago
Other questions:
  • How do you simpifly algebraic expressions
    13·1 answer
  • Choose the product.
    11·1 answer
  • A department store has average daily sales of $29,876.76. The standard deviation of sales is $1000. On Tuesday, the store sold $
    7·2 answers
  • Patrick is collecting data on shoe size. What type of data is this?
    13·1 answer
  • Weighing about a ton on their 14th birthday, the average T-Rex grew 4.6 pounds per day from the age 14 to 18 years! Write a form
    6·1 answer
  • Clara needs to purchase a new dress for a dance. There are several malls near her location. She decides to shop for the dress at
    13·2 answers
  • Find the volume <br><br> Help me please
    12·2 answers
  • Dylan has a coworker who is always showing up late and then not finishing his work on time. It's frustrating the other members o
    12·1 answer
  • Solve pls brainliest
    9·2 answers
  • The we are readers book club allows members to buy book for $8.75 per book.The print is dead book club cost $20 to join and allo
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!