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naomicervero
23.12.2020 •
Mathematics
PLZ HELP! WILL GIVE BRAINLIEST
Find the value of x by filling in the blanks in the provided statement - reason solution.
I NEED THE WHOLE STATEMENT REASON CHART FILLED OUT!! THANK YOU SO MUCH IF YOU HELP!
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Ответ:
Answer/Step-by-step explanation:
1. m<UTV = m<RTS = 85°
Reason: Definition of vertical angles.
Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.
2. m<R + m<S + m<RTS = 180°
Reason: sum of interior angles of a ∆.
3. 3x + 2x + 85° = 180°
Reason: Substitution
4. x = 19
Reason: Algebra
Solving the equation algebraically, we would have the following:
3x + 2x + 85° = 180°
Add like terms
5x + 85 = 180
5x = 180 - 85 (subtraction property of equality)
5x = 95
Divide both sides by 5
x = 19
Ответ:
x=8
Step-by-step explanation:
First off, make the equation easier to solve by putting the non-variable numbers to the other side:
-1+0.5x+9.7=12.7
0.5x+9.7-1=12.7
0.5x+8.7=12.7
-8.7 -8.7
0.5x+0=4.0
Then, multiply 0.5x by 2 and 4.0 by 2 getting you the answer of:
1x=8
x=8