Answer:
see explanation
Step-by-step explanation:
3x and 144 are adjacent angles on a straight line and sum to 180°
3x + 144 = 180 ( subtract 144 from both sides )
3x = 36 ← value of 3x
divide both sides by 3
x = 12
and
2y - 5 and 95 are vertically opposite angles and are congruent, so
2y - 5 = 95 ← value of 2y - 5
add 5 to both sides
2y = 100 ( divide both sides by 2 )
y = 50
Then
x + y = 12 + 50 = 62
Answer:
Marco will need
of material to make the kite
Step-by-step explanation:
we know that
To know how much material Marco will need to make the kite, the area must be calculated.
Remember that the area of the kite is equal to
![A=\frac{1}{2}[d1*d2]](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Bd1%2Ad2%5D)
where
d1 and d2 are the diagonals of the kite
we have


substitute
![A=\frac{1}{2}[2*3]=3\ ft^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B2%2A3%5D%3D3%5C%20ft%5E%7B2%7D)
Answer:
27
Step-by-step explanation:
Given the ratio 3 : 9
and 9 : ?
note that 3 × 3 = 9, thus 9 × 3 = 27
3 : 9 = 9 : 27
8000-4.989 so when you see the word less than it means that you have to subtract and more than you have to add so the answer for this question will be 7,995.011