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
a_sh-v [17]
3 years ago
5

In a triangle, the largest angle is 3 less than twice the smallest angle. The middle-sized angle is 7 more than the smallest ang

le. Find the measures (in degrees) of the three angles in the triangle.
Mathematics
1 answer:
Anton [14]3 years ago
8 0
Largest Angle: 85 Degrees

Middle-Sized Angle: 51 Degrees

Smallest Angle: 44 Degrees

Knowing that all the angles in a triangle add up to a total of 180 degrees and the relation of all angles to one another: you may plug in a value for the smallest angle and use this to calculate the other angle values, add all calculated angle measures and repeat until the value is equal to 180 degrees.

Since all angle measures in this problem are dependent upon the smallest angle measure, you only have to change the value of this variable in order to solve the problem.
You might be interested in
You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your p
frutty [35]

Answer:

Step-by-step explanation:

weight (x)                         ( x - \overline x)^2

12.05                               0.00123

12                                     0.00019

11.96                                0.00292

12.14                                0.0159

12.12                                0.00112

11.97                                0.0019

11.96                               0.0029

12.11                                 0.0092

11.94                                 0.0055

11.82                                0.038

12                                     0.00019

12.18                                0.028

11.91                                  0.0108

12.06                                0.0021

11.99                                  0.0029

\sum x = 180.21                    \sum (x - \overline x)^2 = 0.12285

Sample size = 15

\overline x = \dfrac{180.21}{15} = 12.014

Sample standard deviation

x = \sqrt{\dfrac{0.12285}{15-1}}

x = 0.0937

\text{degree of freedom = n - 1}

degree of freedom = 15- 1=14

\text{confidence interval} \alpha = 1- 0.98 = 0.02 \\ \\ \alpha/2 = 0.02/2 = 0.01

From \  X^2  \  table}\text{, the critical value} X^2 \text{=0.99 for degree of freedom =14 is given by : 4.660}

\text{, the critical value} X^2 \text{=0.01 for degree of freedom =14 is given by : 29.141}

\text{Thus, the lower limit = 4.660, the upper limit = 29.141}

\text{the confidence interval of the standard deviation} \ \sigma \  is:

\sqrt{\dfrac{(n -1)s^2}{X^2_{\dfrac{\sigma}{2}}} } \le \sigma \le \sqrt{\dfrac{(n -1)s^2}{X^2_{1-\dfrac{\sigma}{2}}} }

replacing our values:

\sqrt{\dfrac{(15 -1)0.0937^2}{29.141} } < \sigma

= 0.06495 < \sigma < 0.1624

\mathbf{Thus; \  \sigma (0.06495 , 0.1624)}

3 0
2 years ago
Hakim was feeling adventurous at lunch. Rather than choosing a single drink, he decided to
mojhsa [17]
1.71 ounces for the sodas
4 0
3 years ago
Which of the following is equal to 393,500? 0.3935 × 10 -6 39.35 × 10 -4 3.935 × 10 -5 3.935 × 10 5
SCORPION-xisa [38]

Answer:

No answer is equal to 393,500

Step-by-step explanation:

You can try to solve each question.

0.3935 × 10 -6 = -2.065

39.35 × 10 -4 = 389.5

3.935 × 10 -5 = 34.35

3.935 × 10 +5 = 44.35

None of these equal to 393,500

(Maybe I am getting things wrong I am not in a smart mood today)

4 0
3 years ago
HELP!!!
Harlamova29_29 [7]

Answer:

y= -1x + 2

Step-by-step explanation:

-4/4 is the same as saying -1. slope always has to be in the simplest form.

5 0
2 years ago
Please help !! <br> basic triangle proofs
jeka57 [31]

Answer:

AD=AC (as D is midpoint to from line AC the line AD=AC

Step-by-step explanation:

HENCE PROVED

8 0
2 years ago
Other questions:
  • If f(x)= 3x-1 and g(x)= x+2, find (f-g)(x).
    8·2 answers
  • Consider the function f(x) = x3 − 4x2 + 2. Calculate the limit of the difference quotient at x0 = 3 for f(x).
    7·1 answer
  • A/-2-5=0<br> A=-10;a=0;a=10
    13·1 answer
  • Suppose the midpoint of (AB) is M= (3,0) if point A has the coordinates of (-1,4) then what are the coordinates of B?
    13·1 answer
  • My office is 11 feet wide and 13 feet long with the ceiling being 8 feet above the floor. I would like to paint the walls light
    7·1 answer
  • One repair service company charges $27 for a house call plus
    13·1 answer
  • If it takes Ohenhen 10km to pass to Emma and it takes Emma 8km to pass to Omusi and considering Ohenhen &amp; Omusi are at perpe
    9·1 answer
  • Does anyone know the answers ???
    7·1 answer
  • Yes or No, is each pair of ratios or rates is equivalent? Explain your reasoning. Be specific. 3 hours worked for $12.00; 9 hour
    6·1 answer
  • Rationalise the denominator of (12)/(\sqrt(10)+\sqrt(7)+\sqrt(3))
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!