Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
We will be using simultaneous equations to solve this problem.
The sum of angles on a straight line is 180°.
( R ) and ( 2x + 5 ) are both on the same straight line.
Therefore:
Equation No. 1 -
R + 2x + 5 = 180
R = 180 - 2x - 5
R = 175 - 2x
Vertically opposite angles are equivalent to each other.
( R ) is vertically opposite ( 3x + 15 ).
Therefore:
Equation No. 2 -
R = 3x + 15
Substitute the value of ( R ) from the first equation into the second equation to solve for ( x )
R = 3x + 15
175 - 2x = 3x + 15
- 2x - 3x = 15 - 175
- 5x = - 160
x = - 160 / - 5
x = 160 / 5
x = 32
Next we will substitute the value of ( x ) from the second equation into the first equation to solve for ( R ).
Equation No. 2 -
R = 175 - 2x
R = 175 - 2 ( 32 )
R = 175 - 64
R = 111
FINAL ANSWER:
Therefore, the answer is:
R = 111
x = 32
Hope this helps! :)
Have a lovely day! <3
<span>
<u><em>Answer:</em></u>g = 3
<u><em>Explanation:</em></u>To solve for g, we will need to isolate the g on one side of the equation.
<u>This can be done as follows:</u>
</span>
<span>
<u>1- multiply all terms by 14 to get rid of the fraction:</u>
4g - 6 - g = 3
<u>2- Combine like terms:</u>
4g - g = 3 + 6
3g = 9
<u>3- Isolate the g:</u>
</span>
<span>
g = 3
Hope this helps :)</span>
Answer:
600
Step-by-step explanation:
How to do it in your head (secret):
3*2 = 6
add 2 zeros after the 6 since there are 2 zeros in total in this equation 2<u><em>0 </em></u>and 3<u><em>0</em></u> so:
30*20 = 600
:D
Answer:
Some 224 people were in favor of the expansion.
Step-by-step explanation:
Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:
1/4 = 0.25
100 = 1004
22.25 = X
1004 x 22.25 / 100 = X
223.39 = X
Thus, some 224 people were in favor of the expansion.
Knowing the interior angle sum formula is;
180x(n-2)
180x(n-2)=1260 (solve for n here)
180n-360=1260
180n=1260+360
180n=1620
n=1620/180
n=9
Therefore, this polygon has 9 sides.
Hope I helped :)
