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:
*Assuming that the question should read '8 years less than 3 times Danielle's age'*
Equation: 3a - 8 = 34, where 'a' = Danielle's age
Danielle's age (a) = 14
Step-by-step explanation:
Using key words and phrases from the problem, we can find Danielle's age by setting up an equation to solve for 'a'.
Since Danielle's aunt is '8 years less than 3 times Danielle's age' her aunt's age can be written as: 3a - 8. We also know her aunt is 34. So, the equation becomes:
3a - 8 = 34
Add 8 to both sides: 3a - 8 + 8 = 34 + 8 or 3a = 42
Divide both sides by 3: 3a/3 = 42/3
Solve for a: a = 14, so Danielle's age is 14 years old.
Answer:
Hence, Eric's elevation changed 
meters above. So after the 2 moves, he is up by meters.
Step-by-step explanation:
Let us assume "negative" as climbing up and "positive" as climbing up. Here we need to find the change in elevation.
-
meters down means 
. 
meters up means 
.
Now we have:
26*5 is 130
He'll have ten left over if each student in year 11 has one :) Hope this helps!
Answer:
Im assuming youre trying to answer what is the 60% height, it would be 3ft
Step-by-step explanation:
