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
Aleks [24]
3 years ago
7

Tell me what each angle is in the following triangle: angle 1 is 8x, angle 2 is 2x+3, angle 3: 30 degrees. give me the two answe

rs. *
Mathematics
1 answer:
9966 [12]3 years ago
4 0
Answer:  117.6° ;  32.4° .
_________________________
Explanation:
_______________________________________________________
Note: ALL triangles, by definition, have exactly 3 (THREE) sides and exactly 3 (THREE) angles.   
_____________________
We are given the following:
_______________________
We have a triangle.

Angle 1:  m∡1 = (8x) ;

Angle 2:  m∡2 = (2x + 3) ;

Angle 3:  m∡3 = 30.
______________________________________
We are asked to find:  "m∡1"  and " m∡2" .
______________________________________
Note: In ALL TRIANGLES, the measurements of all THREE (3) angles ALWAYS add up to 180 degrees.
________________________________________
   So, " m∡1 + m∡2 + m∡3 = 180 " . 
________________________________________
Let us substitute our given values for the measurements in EACH of
the THREE (3) angles — on the left-hand side of the equation;  then solve for "x" ;  then substitute that solved value for "x" into the given expressions for BOTH  "m∡1" AND "m∡2" ; to find the values for " m∡1" AND " m∡2 " ; which are the values asked for in this very question ; 
___________________________________________
 
                m∡1 + m∡2 + m∡3 = 180  ; 
___________________________________________
             8x + (2x + 3) + 30 = 180 ;
___________________________________________
             8x + 2x + 3 + 30 = 180 ;
___________________________________________
  Combine the "like terms" on the 'left-hand side" of the equation; to simplify:
____________________________________________________________
            +8x + 2x = +10x ;
___________________________________________
              +3 + 30 = +33 ; 
___________________________________________
  Rewrite the entire equation, as:
___________________________________________
         10x + 33 = 180 ; 
___________________________________________
 Now, subtract "33" from EACH SIDE of the equation:
___________________________________________
         10x + 33 − 33 = 180 −<span> 33 ;
___________________________________________
 to get:
___________________________________________
         10x    =   147 ;  
____________________________________________
   Now, divide EACH side of the equation by "10" ; to isolate "x" on ONE SIDE of the equation; and to solve for "x" : 
____________________________________________
         10x / 10 = 147 / 10 ; 
____________________________________________
   to get: 
____________________________________________
              x = 14.7 ;
___________________________________________
    Now, given the following, we plug in our solved value, "14.7", for "x", into the expression given for "m</span>∡1" and "m∡2";  as follows:
________________________________________________

Angle 1:  "(8x)" = 8*(14.7) =  117.6° ; 
________________________________________________
Angle 2:  "2x + 3" = 2*(14.7) + 3 = 29.4 + 3 = 32.4° ;
________________________________________________
These are the two answers; that is the 2 (TWO) values asked for in the question:   117.6° ;  32.4° .
<span>____________________________________</span><span>
 Do they make sense? That is, do the measurements of ALL 3 (THREE) angles; that is, our two solved measurements added together, and then added to the value of the third angle (given: "m</span>∡3 = 30°); all add up to 180° ?
___________________________________________
Let us check:
_______________________________
   m∡1  +  m∡2  +  m∡3 = 180 ; 
_______________________________
Plugging in our solved values for "m∡1" and "m∡2" ; and our given value: "30" — for "m∡3 — does the equation hold true?
______________________________________________
   → 117.6 + 32.4 + 30 = ? 180 ??
______________________________________________
   → 117.6 + 32.4 = 150  ;   → 150 + 30 =? 180 ?  Yes!
______________________________________________
You might be interested in
Infinite over E n=1 4(0.5)^n-1
yan [13]

Answer:

S = 8

Step-by-step explanation:

An infinite geometric series is defined as limit of partial sum of geometric sequences. Therefore, to find the infinite sum, we have to find the partial sum first then input limit approaches infinity.

However, fortunately, the infinite geometric series has already set up for you. It’s got the formula for itself which is:

\displaystyle \large{\lim_{n\to \infty} S_n = \dfrac{a_1}{1-r}}

We can also write in summation notation rather S-term as:

\displaystyle \large{\sum_{n=1}^\infty a_1r^{n-1} = \dfrac{a_1}{1-r}}

Keep in mind that these only work for when |r| < 1 or else it will diverge.

Also, how fortunately, the given summation fits the formula pattern so we do not have to do anything but simply apply the formula in.

\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{1-0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = 8}

Therefore, the sum will converge to 8.

Please let me know if you have any questions!

6 0
2 years ago
Put these numbers from least to greatest value.<br> 22/7 , square root of 3, 16/4, square root of 5
Crank
From least to greatest is  square root of 3, square root of 5, 22/7 , 16/4 
  hope it help

8 0
2 years ago
An apple pie uses 4 cups of apples and 3 cups of flour. An apple cobbler uses 2 cups of apples and 3 cups of flour. You have 16
Alex Ar [27]
4x+2y<=16
3x+3y<=15

2x+y<=8
x+y<=5
3x+2y->maximize profit

X   Y    profit
1   4     11
2   3     12
3   2     13
4   0     12
3   1     11
3   2     13
2   3     12
1   4     11
0   5      10

Farmer need to make 3 Apple pies and 2 apple cobblers
Farmer will use 16 cups of apples and 15 cups of flour
profit of farmer will be $13 
3 0
3 years ago
Can someone help me with this? I don't really understand it​
SSSSS [86.1K]

Answer:

#1 goes to B.

#2 goes to C.

#3 goes to D.

#4 goes to A.

Hope this helps.

6 0
2 years ago
Suppose the x intercept of the graph of y=f(x) are 2 and 3. what are the x-intercepts of y=8f(x)
Yuliya22 [10]

We are given: Function y=f(x).

First x-intercept of the y=f(x) is 2.

x-intercept is a point on x-axis, where y=0.

Replacing y by 0 and x by 2 in above function, we get

0=f(2)

Second x-intercept of the y=f(x) is 3.

Replacing y by 0 and x by 2 in above function, we get

0=f(3)

We are given another function y=8f(x).

Here only function f(x) is being multiplied with 8.

That is y values of function should be multiply by 8.

Because we have y value equals 0. On multiplying 8 by 0 gives 0 again and it would not effect the values of x's.

Therefore,

x-intercepts of y=8f(x) would remain same, that is 2 and 3.

6 0
2 years ago
Other questions:
  • A South American Rainforest Spider Monkey has a solution that is 60% banana juice and another solution that is 40% banana juice.
    9·2 answers
  • What is the answer for 4(k-6)-(3k+2)= -5
    6·2 answers
  • Hell please and thank you !!!!
    14·2 answers
  • If side A is twice as long as B and C is 25 using the Pythagorean Theorem,What are the lengths of side A and B? Round to the nea
    5·1 answer
  • Which of the following statements must be true about a square?
    6·1 answer
  • Someone please help me with this i’ll mark you brainliest
    12·1 answer
  • 8 cm<br> Find the area of the figure. Round<br> your answer to the nearest<br> hundredth.
    15·1 answer
  • Brainleist please help.
    7·1 answer
  • BNHA 293 Preview:<br><br> "The thread of hopes are getting stronger and bigger!"
    12·2 answers
  • Which of these points is on circle with a center at (0, 0) that includes the point (-1, -3)?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!