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
Fed [463]
3 years ago
15

If the degree measures of the angles of a triangle are in the ratio 3 : 3 : 4, what is the degree measure of the largest angle o

f the triangle? (Sum of all three angles is 180)
Mathematics
2 answers:
hichkok12 [17]3 years ago
8 0

Answer:72 degrees

Step-by-step explanation:

3:3:4 is the ratio of the angles of a triangle and we have been asked the degree measure of the largest angle.

First of all...add the three ratios

3+3+4=10

;Ratio 10=180 degrees(the sum of all the angles;ratios add up to the sum of all three angles)

10=180 how about ratio 3?

Cross multiply...3 times 180 over 10= 54 degrees

Both angles with ratio 3 are 54 degrees

180-108=72

The angle with ratio 4 has 72 degrees which makes it the largest angle

Phantasy [73]3 years ago
7 0

x=3k

y=3k

z=4k

x+y+z=180

3k+3k+4k=180

10k=180

k=180/10

k= 18

z=4*18

z=72

answer: 72

You might be interested in
Add the expressions 4 minus two-thirds b + one-fourth a and One-half a + one-sixth b minus 7. What is the simplified sum?
katen-ka-za [31]

Answer:

It is B) 3/4a-1/2b-3

Step-by-step explanation:

I did the instructions :)

6 0
3 years ago
Read 2 more answers
99 point please help
____ [38]
It wants it to be in slope-intercept form.

y=mx+b

We have to first find the slope and plug it into point-slope form.

y-y1=m(x-x1)

Find the slope of the second line. (I did this one first on accident)

Rise/run= 3/1= 3 The slope is 3. Plug that in along with the point (0,3)

y-3=3(x-0)
y-3=3x

Add 3 to the other side.

y= 3x +3 <- <em>for the second line</em><em>
</em>
Now, the second.

rise/run= 1/2= .5 Use point (6,0)

y-0=.5(x-6)
y= .5x-3 

y=.5x-3 <- for the first line

I hope this helps!
~kaiker




4 0
2 years ago
Read 2 more answers
There are 4 green marbles and 7 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of choo
Aliun [14]

Answer:

4/11

Step-by-step explanation:

there are 4 green out of 11 total

5 0
3 years ago
Read 2 more answers
2 over 3 divided by 5
Yuliya22 [10]
2/3 divide by 5 is 2/15

Remember keep change flip

2/3 times 1/5 is 2/15

Hope this helps!
6 0
3 years ago
Time spent using​ e-mail per session is normally​ distributed, with mu equals 11 minutes and sigma equals 3 minutes. Assume that
liq [111]

Answer:

a) 0.259

b) 0.297

c) 0.497

Step-by-step explanation:

To solve this problem, it is important to know the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem

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 s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 11, \sigma = 3

a. If you select a random sample of 25 ​sessions, what is the probability that the sample mean is between 10.8 and 11.2 ​minutes?

Here we have that n = 25, s = \frac{3}{\sqrt{25}} = 0.6

This probability is the pvalue of Z when X = 11.2 subtracted by the pvalue of Z when X = 10.8.

X = 11.2

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{11.2 - 11}{0.6}

Z = 0.33

Z = 0.33 has a pvalue of 0.6293.

X = 10.8

Z = \frac{X - \mu}{s}

Z = \frac{10.8 - 11}{0.6}

Z = -0.33

Z = -0.33 has a pvalue of 0.3707.

0.6293 - 0.3707 = 0.2586

0.259 probability, rounded to three decimal places.

b. If you select a random sample of 25 ​sessions, what is the probability that the sample mean is between 10.5 and 11 ​minutes?

Subtraction of the pvalue of Z when X = 11 subtracted by the pvalue of Z when X = 10.5. So

X = 11

Z = \frac{X - \mu}{s}

Z = \frac{11 - 11}{0.6}

Z = 0

Z = 0 has a pvalue of 0.5.

X = 10.5

Z = \frac{X - \mu}{s}

Z = \frac{10.5 - 11}{0.6}

Z = -0.83

Z = -0.83 has a pvalue of 0.2033.

0.5 - 0.2033 = 0.2967

0.297, rounded to three decimal places.

c. If you select a random sample of 100 ​sessions, what is the probability that the sample mean is between 10.8 and 11.2 ​minutes?

Here we have that n = 100, s = \frac{3}{\sqrt{100}} = 0.3

This probability is the pvalue of Z when X = 11.2 subtracted by the pvalue of Z when X = 10.8.

X = 11.2

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{11.2 - 11}{0.3}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486.

X = 10.8

Z = \frac{X - \mu}{s}

Z = \frac{10.8 - 11}{0.3}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514.

0.7486 - 0.2514 = 0.4972

0.497, rounded to three decimal places.

5 0
3 years ago
Other questions:
  • Identify next 3 numbers in this sequence 2,6,3,9,6,18,15
    7·1 answer
  • 7/8 = y/11 solve for y
    11·2 answers
  • You’re building a rectangular frame 10 inches by 11 inches. How many feet of wood do you need?
    5·2 answers
  • Plzzzz help! I need it ASAP.
    10·1 answer
  • Can somebody solve this multi-step equation?<br> 4(x-2)=4x
    10·1 answer
  • Form an identity using -5x+9=9_
    15·1 answer
  • 8(–5m–4)?<br><br><br> a<br> n<br> s<br> w<br> e<br> r
    12·2 answers
  • a marble bag contains three red marbles and four gray marbles six white marbles and five black marbles what is the probability o
    12·1 answer
  • In a small sporting good store there are 3 managers, 8
    7·1 answer
  • Rewrite the following equation in slope-intercept form.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!