Answer:
254.3 mm^2
Step-by-step explanation:
Area of a circle: A = π*r^2
π (pi) = 3.14
r (radius) = 9 mm
Substitute 3.14 for pi and 9 for radius:
A = π*r^2
A = 3.14*9^2
A = 3.14*81
A = 254.34 mm^2
Round to the nearest tenth:
254.34 ==> 254.3
Therefore, our final answer is 254.3 mm^2
Hope this helps!
Answer:
The value of v is 6° and the value of w is 15°
Step-by-step explanation:
we know that
When parallel lines are cut by a transversal line, the same-side exterior angles are supplementary and each pair of alternate interior angles is equal in measure
so
5v=2w -----> equation A
10w+5v=180 ----> equation B
substitute equation A in equation B and solve for w
10w+(2w)=180
12w=180
w=15°
Find the value of v
5v=2w -----> v=2w/5
v=2(15)/5=6°
therefore
The value of v is 6° and the value of w is 15°
Answer:
x = 17.5
y = 5
Step-by-step explanation:
Similar means that corresponding angles (same colors in this case) are the same. Rotate the 2nd figure on the right in your mind until the angle label colors fit the 1st figure, just so you can tell what's what. Then you can create ratios with corresponding sides that include only one of the unknowns. So 1st we use
x/7 = 15/6
x = 15/6 * 7
x = 17.5
and
y/12.5 = 6/15
y = 6/15 * 12.5
y = 5
Answer:
see below
Step-by-step explanation:
"Alternate" means the angles are on opposite sides of the transversal DK. "Interior" means the angles are between the parallel lines. Here, that means that segment HI will be common to the two angles of interest.
The two pairs of opposite interior angles are ...
- ∠EFI and ∠JIF
- ∠GFI and ∠HIF . . . . . matches an answer choice
To solve this problem, let us assign the variables. Let
us say that:
x = age of Tony = which also the age of his twin brother Evan
x + 4 = age of Josh (since tony is 4 years younger, then
josh must be 4 years older)
x – 2 = age of Cindy (since tony is 2 years older, then
cindy must be 2 years younger)
There are a total of 4 children, therefore:
x + x + x + 4 + x – 2 = 66
4 x + 2 = 66
4 x = 64
x = 16
Therefore Tony is 16 years old.
