Answer:
Step-by-step explanation:
The formula for this is
∠G = 1/2(arcEH - arcHF)
We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF
Filling in the formula with what we have:

which simplifies down a bit to
which simplifies down a bit more to
Multiply both sides by 2 to get rid of the fraction and get:
2(5x - 10) = 178 - 8x which of course simplifies to
10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:
18x = 198 so
x = 11. Now we can find the measure of arcHF:
arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.
arcEH + arcHF = arcEHF so
195 + 105 = arcEHF so
arcEHF = 300°
Answer:
246 in^2
Step-by-step explanation:
Given data
Length= 8 in
Width= 3 in
Height= 9 in
SA= 2( lw + wh + hl)
substitute
SA= 2(8*3+ 3*9+ 9*8)
SA= 2(24+ 27+72)
SA= 2(123)
SA= 246 in^2
Hence the SA is 246 in^2
Answer:23 And 24
Step-by-step explanation:
((37 - (−√(−24))) - (−√(37))) - 24 =
19.0827625 + 4.89897949 i
19.0827625
+ 4.89897949
23.98174199
23.98174199 is between 23 and 24
Emily is 12, Samantha is 14, and Lauren is 16. Basically all you do to solve this problem is add numbers that are two apart until you find something.
Ex. 2+4+6=12 4+6+8=18 so on and so forth.
The answer is 3
5x = 16-1
5x = 15
x = 3