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
VMariaS [17]
3 years ago
11

One angle in a triangle has a measure that is three times as large as

Mathematics
1 answer:
shepuryov [24]3 years ago
7 0
We know that the sum of all angles in any triangle is always 180 and we know that:

The smallest angle = x
Angle 2 = x + 35
Angle 3 = 3 * x

So:

180 = x + x + 35 + 3 * x
180 = x + x + 35 + 3x
180 = 2x + 35 + 3x
180 = 5x + 35                 / - 35 (both sides)
145 = 5x                         / ÷ 5 (both sides)
x = 29

The smallest angle = 29
Angle 2 = 29 + 35 = 64
Angle 3 = 3 * 29 = 87

Check:

29 + 64 + 87 = 180, so it's correct :)
You might be interested in
A cable car starts off with n riders. The times between successive stops of the car are independent exponential random variables
nikitadnepr [17]

Answer:

The distribution is \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

Solution:

As per the question:

Total no. of riders = n

Now, suppose the T_{i} is the time between the departure of the rider i - 1 and i from the cable car.

where

T_{i} = independent exponential random variable whose rate is \lambda

The general form is given by:

T_{i} = \lambda e^{- lambda}

(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:

S_{n} = T_{1} + T_{2} + ........ + T_{n}

S_{n} = \sum_{i}^{n} T_{n}

Now, the sum of the exponential random variable with \lambda with rate \lambda is given by:

S_{n} = f(t:n, \lamda) = \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

5 0
3 years ago
In a lab, scientists are growing a culture of bacteria. It is known that the
Varvara68 [4.7K]

Answer:

For the scientists it would take 4 hours to make 1000 units

5 0
3 years ago
Simplify the expression. Select the best answer from the choices below.<br> 2 - 8 + 3x + 8
skad [1K]

Answer:

3x + 2

Step-by-step explanation:

7 0
3 years ago
When is the substitution method a better method than graphing for solving a system of
baherus [9]

Answer:

Frankly, substitution is almost always a better method. Graphing is a very precise and time consuming process where you have to calculate several..

8 0
3 years ago
Barbara is making candy bags with her birthday party she has 24 lollipops, 12 candy bars, and 42 pieces of gum she wants each ba
Arisa [49]
She can make about 5 bags and there will be 4 lollipops, 2 candy bars, and 7 pieces of gum in each bag.

So this is how to solve it:
Basically what you’re doing here is called finding the gcf, or greatest common factor. What you have to do is find what number can divide by 24, 12, and 42; so I chose 2.
After dividing all these numbers by two you get 12, 6, and 21.
3 can divide by all these numbers
After dividing by three you get 4(lollipops), 2(candy bars) and 7(pieces of gum)
Since you can not divide by one number for all of these numbers, 4, 2 and 7 are your final answers.

To find how many’s bags you can make, the answer is 5 since you divided by 2 and 3 and you add them together.

I hope I explained this well! Good luck :D
3 0
3 years ago
Other questions:
  • An elephant eats 5% of his body weight each day if he eats 300 pounds of food,how much does it weigh?
    11·1 answer
  • What is the difference between 3/7 and 1/14
    13·1 answer
  • 2 1/3 - 1 1/3 PLEASE ANSWER MY HOMEWORK IS DUE IN 10 MINUTES
    10·1 answer
  • 3, 6, 4, 8, 6, 12 what are the next three numbers in this pattern
    6·2 answers
  • BRAINLIESTT ASAP! PLEASE HELP ME :)
    15·2 answers
  • 5/13 of 26 is what number
    8·2 answers
  • Rozlyn invested $2000 in an account that pays 4.25% annual simple interest. She will not make any additional deposits or withdra
    11·1 answer
  • Jack and Andrea want to create a right triangle together using values of x and y and the polynomial identity to generate Pythago
    13·2 answers
  • Is 5 km bigger or 5,000 meters
    9·2 answers
  • A town with a population of 5,000 grows 3% per year. Find the population at the end of two years using the Growth and Decay meth
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!