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
Allushta [10]
2 years ago
13

Can you help me with this? 7

Mathematics
1 answer:
andrezito [222]2 years ago
4 0

Answer:

65º

Step-by-step explanation:

  • The angle of a straight line is 180º, so ∠ABD=180º and ∠ABC=(180-6x)º
  • The sum of the interior angles of a triangle is 180, so (x+40)º+(3x+10)º+(180-6x)º=180
  • We can solve from there, x+40+3x+10+180-6x=180
  • Combine like terms, -2x+230=180
  • Subtract 230, -2x=-50
  • Divide by -2, x=25
  1. m∠CAB=(x+40)º=(25+40)º=65º
  2. m∠ABC=(180-6x)º=(180-150)º=30º
  3. m∠BCA=(3x+10)º=(75+10)º=85º
You might be interested in
The times to process orders at the service counter of a pharmacy are exponentially distributed with mean 1 0 minutes. If 100 cus
g100num [7]

Answer:

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

Step-by-step explanation:

The formula for the probability of an exponential distribution is:

P(x < b) = 1 - e^(b/3)

Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:

p = P(x > 10)

  = 1 - P(x < 10)

  = 1 - (1 - e^(-10/10) )

  = e⁻¹

  = 0.3679

The z-score is the difference in sample size and the population mean, divided by the standard deviation:

z = (p' - p) / √[p(1 - p) / n]

  = (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]

  = 2.7393

Therefore, using the probability table, you find that the corresponding probability is:

P(p' ≥ 0.5) = P(z > 2.7393)

<em>P(p' ≥ 0.5) = 0.0031</em>

<em></em>

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

8 0
3 years ago
What does a cow use to cut the grass?
harina [27]
Is that the full thing?
8 0
2 years ago
Tom and Brad often play a video game. One day, they tracked the scores they each received for 10 rounds.
Minchanka [31]

Answer:

Tom's median video game score is less than Brad's median video game score.

7 0
3 years ago
3+1/2=1 true or false
denis-greek [22]

I am pretty sure its false. I think this becuase 1/2 goes into 3, 6 times, not 1 time. Hope that helps

3 0
3 years ago
Read 2 more answers
Write 0.735 as a simplified fraction
Arisa [49]

Answer:

73/5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • A carton of juice contains 64 ounces Miss Wilson bought six cartons of juice how many ounces of juice did she buy
    7·2 answers
  • If 3x + 9y = 21 , find the value of 4(x + 3y)
    7·1 answer
  • How do I cross multiply if the variable is on the right fractions top?
    9·1 answer
  • Help me plz with this question!
    15·1 answer
  • Lily is making granola. She uses almonds, walnuts, and pecans in the ratio 4 : 3 : 8. Lily uses 40 ounces of pecans. A) find the
    15·1 answer
  • The price of a watermelon at a fruit stand goes up 7 cents each month. The first month the stand was open, a watermelon cost $1.
    7·1 answer
  • If f(x) = 3x-5 and g(x) = 4x^2 + 2x -8 evaluate f(x) x g(x)
    8·1 answer
  • André solves the following system of equations by elimination.
    13·2 answers
  • Solve for n:<br> n/3 + 10 = 16
    5·1 answer
  • Solve the inequality -2(z + 5) + 20 7 6.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!