answer.
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
Vsevolod [243]
2 years ago
13

Find the value of x in each case:

Mathematics
2 answers:
Zanzabum2 years ago
6 0

Answer:

x=30\°

Step-by-step explanation:

<u>Find the measures of interior angles in each triangle</u>

Triangle BGC

m

The measures of triangle BGC are 90\°-60\°-30\°

Triangle CGH

we know that

m -----> by consecutive interior angles

we have that

m

so

m

m

substitute

m

we have

m

m

m

remember that

m

60\°+2x+180\°-4x=180\°

60\°=2x

x=30\°

The measures of triangle CGH are 60\°-60\°-60\°

Triangle GHE

m< EGH=90\°-2x=90-2(30\°)=30\°

m< GHE=4x=4(30\°)=120\°

remember that

m

substitute and solve for m<GEH

30\°+120\°+m

150\°+m

m

The measures of triangle GHE are 30\°-120\°-30\°

Evgesh-ka [11]2 years ago
3 0

Answer:

x=30 degress

Step-by-step explanation:

BIG BRAIN

You might be interested in
Fifty specimens of a new computer chip were tested for speed in a certain application, along with 50 specimens of chips with the
Murljashka [212]

Answer:

Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips

Step-by-step explanation:

H_{0}: Mean speed of the new chip is the same as the old chip

H_{a}: Mean speed of the new chip is greater than the old chip

to calculate the z-statistic we can use the formula:

z=\frac{M_{n}-M_{o}}{\sqrt{\frac{s_{n}^2}{N_{n}} +\frac{s_{o}^2}{N_{o}} } }

if we put the numbers then

z=\frac{495.6-481.2}{\sqrt{\frac{19.4^2}{65}} +\frac{14.3^2}{65} } } =4.8171

The probability of this z-statistic is < 0.001 Therefore Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips

4 0
1 year ago
Legalization of marijuana, Part I. The 2010 General Social Survey asked 1,578 US res- idents: \Do you think the use of marijuana
mixer [17]

Answer:

Step-by-step explanation:

a) Sample statistics are used to estimate population value. Since 48% is a sample proportion, therefore, it is a sample statistic.

b) For 95% confidence level, z* = 1.96.

\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}= 0.61\pm 0.61\sqrt{\frac{0.61(1-0.61)}{1578}}=0.61\pm 0.024 \ or (0.586, 0.634).

We are 95% confident that the true proportion of US residents who think marijuana should be made legal lies between 58.6% and 63.4%.

c)

\\np=1578(0.61)=962.58

\\n(1-p)=1578(1-0.61)=615.42

Since both np and n(1-p), are at least 10, the normal model is a good approximation for these data.

d) As the lower limit of confidence interval is less than 0.5, less than 50% population is also a plausible value of true proportion. This means the statement "Majority of Americans think marijuana should be legalized" is not justified.

4 0
2 years ago
A plane intersects a prism parallel to the base of the prism. The cross section is a polygon with eight sides. The base of the p
Ksenya-84 [330]
I'm not quite sure but I believe the answer to your question is 4 sides
7 0
1 year ago
Read 2 more answers
Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that cos
Neko [114]

Answer: See explanation

Step-by-step explanation:

Based on the scenario in the question, the expression to calculate the number of boxes of sugar Alonso can buys will be:

= 2.75 + 11.50S ≤ 55

When solved further, this will be:

2.75 + 11.50S ≤ 55

11.50S ≤ 55 - 2.75

11.50S ≤ 52.25

S ≤ 52.25 / 11.50

S ≤ 4.54

He can buy 4 boxes of sugar

3 0
1 year ago
In the year 2000, the population of a city was 600,000 citizens. The population increases at a rate of 1.8% per year.
Alona [7]
Y=600000(1+1.8%)^(x-2000)
So the population in 2012
Y=600,000×(1+0.018)^(2,012−2,000)
Y=743,232
6 0
1 year ago
Read 2 more answers
Other questions:
  • Chaucer explores the idea that appearances can be deceiving through the character of the old woman. how does this theme relate t
    10·1 answer
  • The lines y=3x-1 and y=ax+2 are perpendicular if a=___
    8·2 answers
  • What’s the answer???
    13·2 answers
  • Your company has offices in 2 cities. The Denver office has 137 employees with an average salary of $67,013. The Anchorage offic
    10·2 answers
  • 20 pts please help!
    15·2 answers
  • Type the correct answer in the box. Jason builds doghouses for a pet store. Each doghouse is a wooden structure with a rectangul
    14·2 answers
  • Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United Sta
    6·1 answer
  • At a Noodles &amp; Company restaurant, the probability that a customer will order a nonalcoholic beverage is .56. a. Find the pr
    12·1 answer
  • the cross sectional area of a cylinder is 614 cm 2 the height is 8cm what is the volume of the cylinder​
    6·1 answer
  • Write 3^n / 9^n-1 as a power of 3
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!