Answer:
∠ 5 = 49°, ∠ 6 = 131°
Step-by-step explanation:
∠ 5 and 49° are corresponding angles and are congruent, then
∠ 5 = 49°
∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is
∠ 6 + ∠ 5 = 180°
∠ 6 + 49° = 180° ( subtract 49° from both sides )
∠ 6 = 131°
<span>3a+4x=29 (1st)
2a-3x=-9 (2nd)
multiply (1st) by 3 and (2nd) by 4
</span>9a + 12x = 87 (1st)
8a - 12x = -36 (2nd)
---------------------add
17a = 51
a = 3
<span>2a-3x=-9
</span><span>2(3)-3x=-9
6 - 3x = -9
-3x = -15
x = 5
answer
x = 5 and a = 3</span>
There are 10 hours and 45 minutes between 9:30 pm and 8:15am. We can figure this out by counting the hours in between 9:30pm and 8:15am. You would stop at 7:30 am to get 11 hours but 7:30 is not 8:15 is it? So we would need to figure out the additional minutes that we need by first adding 30 minutes to get to 8:00 then another 15 to get to 8:15. When added, 30 plus 15 equals 45.
To conclude, 9:30 pm and 8:15am are 11 hours and 45 minutes apart.
I hope this helped! :-)
Answer:
m∠ADC=55°
Step-by-step explanation:
step 1
Find the value of x
we know that
m∠CDE+m∠EDF=180° ----> by supplementary angles (form a linear pair)
substitute the given values
solve for x
step 2
Find the measure of angle ∠ADC
we know that
m∠ADC=m∠EDF ----> by vertical angles
m∠EDF=(x-7)°
substitute the value of x
m∠EDF=(62-7)°=55°
therefore
m∠ADC=55°
There are 900 people that subscribe to the Sunday edition, and 150 that subscribe only to the Sunday edition.
There are 1350 that subscribe to the daily morning edition either alone or with the Sunday edition; this leaves
1500-1350 = 150 that only subscribe to the Sunday edition.
