Answer:
x=
Step-by-step explanation:
2nd step: 
third step: 
fourth step: 
answer: x=
Answer:
54° and 110°
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°
(9)
19x - 26 + 7x - 2 = 180
26x - 28 = 180 ( add 28 to both sides )
26x = 208 ( divide both sides by 26 )
x = 8
Then
∠ EFG = 7x - 2 = 7(8) - 2 = 56 - 2 = 54°
(10)
21x - 33 + 14x + 3 = 180
35x - 30 = 180 ( add 30 to both sides )
35x = 210 ( divide both sides by 35 )
x = 6
Then
∠ YVW = 14x + 3 = 14(6) + 3 = 84 + 3 = 87°
The inscribed angle YVW is half the measure of its intercepted arc YW, so
arc YW = 2 × 87° = 174°, then
arc XW = 174° - 64° = 110°
Answer:
Step-by-step explanation:
Let <em>m</em> represent the amount of months that has passed.
Paulo started out with 20 coins.
Each month, he adds four more coins to his collection.
Therefore, the amount of coins added after <em>m</em> months will be given by 4<em>m</em>.
So, the amount of coins Paulo has total after <em>m</em> months can be given by:
We want to know when Paulo will have "more than" 50 coins in his collection. Therefore, we will use the "greater than" sign. Thus, our inequality will be:
Answer:
(a) 1km
(b)80 fence panels
Step-by-step explanation:
(a) perimeter = 300+300= 600
200+200= + 400
=1000m
1km = 1000m
(b).
1panel = 2.5 m 1× 200÷2.5 = 80
=200m
Answer:
3p + 12
Step-by-step explanation:
5p -3p + 9 + p + 3
Move around the parts of the equation
5p -3p + p + 9 + 3
Add positive 9 to positive 3
5p -3p + p + 12
Add positive p to negative 3p
5p -2p + 12
Combine positive 5p and negative 2p together
3p + 12
I Hope That This Helps! :)
