As per the isosceles triangle theorem, if the two base angles are congruent then the legs are also congruent, so we must set the two legs equal to each other:
2z - 15 = 9
Add 15 to both sides:
15 - 15 = 0
15 + 9 = 24
Divide 2 from each side:
2z = 24
2z/2 = z
24/2 = 12
z = 12
Hence, the answer would be D: z = 12
Answer:

Step-by-step explanation:
5^2x=7^x+1 ⇔ ln5^2x = ln7^x+1 ⇔ 2xln5 = (x+1)ln7 ⇔ (2ln5-ln7)x = ln7
⇔ x = ln7/(2ln5-ln7)
2/3 of 300 is 200.
200 +40 = 240.
the total amount of seats minus the amount filled
300 - 240 = 60
That means that there are 60 seats remaining.
If you were to line them all up:
number of desks* how long it measures = total measurement
28*26.17
=<span>732.76 inches
</span>
Answer:
Hilda needs 64 ft² of tile
8601 in² will be uncovered post mounting
Step-by-step explanation:
Ar=10•6=60 ft²
At=[4•2]/2=8/2=4 ft²
total area=Ar+At=60+4=64ft²
......
Atv=31•57=1767 in²
Aw=(12•8)•(9•12)=10368 in²
Au=Aw-Atv=10368-1767=8601 in²