we know that
m∠PTS=m∠RTQ -----> by vertical angles
Step 1
m∠RTQ+m∠QTS=
-------> by supplementary angles
solve for m∠QTS
m∠QTS=
-m∠RTQ -------> equation 
Step 2
m∠PTS+m∠QTS=
-------> by supplementary angles
solve for m∠QTS
m∠QTS=
-m∠PTS -------> equation 
Step 3
equate equation
and equation 
-m∠RTQ=
-m∠PTS
-m∠RTQ=-m∠PTS
so
m∠RTQ=m∠PTS
therefore
<u>the answer is the option A</u>
Sum of the measures of angles RTQ and QTS is 180°
If <em>x</em> is the smallest of the three, then the next two integers are <em>x</em> + 2 and <em>x</em> + 4.
"Twice the largest is 20 less than the sum of all three" translates to
2 (<em>x</em> + 4) = (<em>x</em> + (<em>x</em> + 4) + (<em>x</em> + 6)) - 20
Solve for <em>x</em> :
2<em>x</em> + 8 = 3<em>x</em> - 10
<em>x</em> = 18
Then the three numbers are {18, 20, 22}.
Answer:
(8a)⁻¹⁸
1 / (8a)¹⁸
Step-by-step explanation:
(((8a)^6a)^4/4a))^-3
((8a)^6a*4/4a)^-3
((8a)^6)^-3
(8a)^6*(-3)
(8a)⁻¹⁸
1 / (8a)¹⁸
Answer:
F = 1.25
Step-by-step explanation:
All you would have to do is cross multiply, so our equations starts at
. We would now multiply F by 8 and 2 by 5. We now have 8F = 10. We can now divide both sides of the equation by 8 to get F = 1.25.
A is the answer. Reflection and rotation.