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
Natali [406]
3 years ago
12

The angles of a triangle add up to 180 degrees. The second angle is 30 degrees larger than the smallest angle. The third angle i

s 4 times as big as the smallest angle. Find the measure of the smallest angle (in degrees)
Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Answer:

50

Step-by-step explanation:

first angle = x

second angle = x+30

third angle = 4x

x + (x+30) + 4x = 180

6x + 30 = 180

6x = 180 - 30

6x = 150

x = 150:6

x = 50

You might be interested in
A university is trying to determine if certain remedial classes need to be offered to their incoming class. To do so, they give
lora16 [44]

Answer:

The experiment is identifying whether a student gets less than a 75% on the entrance exam.

The trial is one exam being taken.

An outcome is a student scoring 80%.

Step-by-step explanation:

An experiment occurs when an intervention is made by a researcher and its effect are studied, thus the experiment here is identifying whether a student gets less than a 75% on the entrance exam.

The trial is the one exam being taken.

While an outcome is the aftermath of the experiment which includes a student scoring 80%.

8 0
3 years ago
2. Consider the following dot plot and answer the following questions : A. Find the measures of central tendency Construct the B
zubka84 [21]

The measures of central tendency for this data set are as follows:

  1. Mean = 3.55.
  2. Median = 3.5.
  3. Mode = 3.

<h3>How to calculate measures of central tendency?</h3>

In Mathematics, there are three (3) main measures of central tendency and these include the following:

  • Mean
  • Median
  • Mode

For the mean, we have:

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7

F(x) = 71

Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = 71/20

Mean = 3.55.

For the median, we have:

First of all, we would order the data from lowest to highest and then determine the median as follows:

Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}

Median = {3 + 4}/2

Median = 7/2

Median = 3.5.

<h3>How to calculate the mode?</h3>

A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.

In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.

Read more on mean here: brainly.com/question/9550536

#SPJ1

6 0
2 years ago
If the value of "y" varies directly with "X"<br> and y = -8 when x = 20, find "y" if x = -4.
natka813 [3]

Answer:

y = 10 when x is -4

will be the correct answer

5 0
3 years ago
hakeem's frog made 3 quick jumps. the first was 1m. the second was 85cm and the third was 400mm. what was the total length in cm
azamat
1m=100cm
85 cm
400 mm=40 cm
Add up them up and you get 225 cm in total
4 0
3 years ago
Tyler is building a fish tank in the shape of a sphere that has a diameter of 14 inches. Based on Tyler's research, it is recomm
Charra [1.4K]

Answer:

Tyler should buy 2 goldfishes for his fish tank,

Step-by-step explanation:

First let's find the volume of the sphere, using the following equation:

Volume = (4/3) * \pi * radius^3

The radius is half the diameter, so the radius is 14/2 = 7 inches

Now, finding the volume, we have:

Volume = (4/3) * \pi * 7^3

Volume = 1436.75\ in^3

Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):

Number\ of\ goldfishes = 1436.75 / 693 = 2.07 = 2\ goldfishes

Tyler should buy 2 goldfishes for his fish tank,

3 0
3 years ago
Read 2 more answers
Other questions:
  • Beth and Sherry partnered together in swimming laps to raise money for the local food bank. Beth raised $15 plus $0.65 per lap t
    14·1 answer
  • If i were to rotate PQRS 90° counterclockwise, what would be the new coordinates?
    12·1 answer
  • 3. How many gallons of ice-cream are produced each<br>week?​
    6·1 answer
  • What is the value of x.<br> 5x=3x-12
    11·2 answers
  • Hassan deposited $7,500 into a bank account. at the end of 3 years, the account had earned $900 in simple interest. what rate of
    6·1 answer
  • A store pays 159$ for a garden statue. The store marks up the price by 40%. 1.) what is the amount of mark up ( nearest hundred)
    13·1 answer
  • Find the area of a trapezium whose parallel sides are 28.7 cm and 22.3 cm and distance between parallel sides is 16 cm.
    14·1 answer
  • What is the median of these numbers 9, 10, 6, 5, 6
    7·1 answer
  • Write a real word problem for 55x = 1,045
    14·2 answers
  • Who can help ? <br> please
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!