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
suter [353]
2 years ago
13

What is the value of x

Mathematics
1 answer:
pav-90 [236]2 years ago
7 0

Let's start with triangle RST. This is a 30-60-90 triangle, which means it has the relationship x - x sqrt(3) - 2x.

If RS is 2 sqrt(3), then ST must be 2 and RT must be 4.

Triangle QRT is a 45-45-90 triangle, which means it has the relationship x - x - x sqrt(2).

If RT is 4, then RQ must also be 4.

Answer: x = 4

Hope this helps!

You might be interested in
Use the information provided to determine a 95% confidence interval for the population variance. A researcher was interested in
Leno4ka [110]

Answer:

The 95% confidence interval for the population variance is (8.80, 32.45).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the population variance is given as follows:

\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}

It is provided that:

<em>n</em> = 20

<em>s</em> = 3.9

Confidence level = 95%

⇒ <em>α</em> = 0.05

Compute the critical values of Chi-square:

\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.05/2, (20-1)}=\chi^{2}_{0.025,19}=32.852\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{1-0.05/2, (20-1)}=\chi^{2}_{0.975,19}=8.907

*Use a Chi-square table.

Compute the 95% confidence interval for the population variance as follows:

\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}

\frac{(20-1)\cdot (3.9)^{2}}{32.852}\leq \sigma^{2}\leq \frac{(20-1)\cdot (3.9)^{2}}{8.907}\\\\8.7967\leq \sigma^{2}\leq 32.4453\\\\8.80\leq \sigma^{2}\leq 32.45

Thus, the 95% confidence interval for the population variance is (8.80, 32.45).

4 0
3 years ago
Which triangle is a 30° -60° -90° triangle?
Fittoniya [83]

Answer:

Acute isosceles triangle

Step-by-step explanation:

because an acute angle is more than 45 but less then 90.

that's all i know sorry!

5 0
3 years ago
Help! Mathematics answer? Will give brainliest and some good points, Algebra I
skad [1K]
The answer is B.

Hope it helps!
8 0
2 years ago
(-2)^-5 simplify can someone help me please thank you (:
Vikki [24]
-0.03125 this would be the answer to that problem

5 0
3 years ago
Read 2 more answers
Can someone help me plz. my answer was 9 but it was wrong. plz help!! solve for x<br> 3x+9=27
bija089 [108]
The answer is 6
See attached.

3 0
3 years ago
Other questions:
  • Josie tells her clients to drink water when training. Drink 500 mL two hours before a training session. Drink 250 mL at the star
    8·1 answer
  • Rico tried to solve an equation step by step.
    8·2 answers
  • Sin150+sin120÷cos210-cos300
    13·1 answer
  • Evaluate 3a2 + 4b2 for a = 2 and b = 3
    6·1 answer
  • How do you find surface area
    7·1 answer
  • Use the information given in the diagram to prove that m∠JGI = One-half(b – a), where a and b represent the degree measures of a
    12·2 answers
  • Which table of ordered pairs represents a proportional relationship?
    11·2 answers
  • The diameter of a circle is 6 in. What is the circle's circumference?
    7·2 answers
  • Question
    7·1 answer
  • Find FH<br><br> FH = {Blank}
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!