Answer:
∠3 is 70°
Step-by-step explanation:
∠1 is 50° since it is across from another 50° angle
and then you use the equation x+25+2x+50=180 to find x
x then equals 35°
you then use the alternate interior angle theorem to say that ∠3 is 2x, or 70°
The number is 21 because 2 is 1 doubled, and 2+1 is 3.
11/42
The way I got it is because I took 1/6 minus 3/7 to get the answer of f=11/42
N=2p
n/2=p
n-5=d
10d+5n+1p=446
subsitute n/2 for p
subsitute n-5 for d
10(n-5)+5n+n/2=446
times 2 both sides
20(n-5)+10n+n=892
expand
20n-100+10n+n=892
31n-100=892
add 100 both sides
31n=992
divide both sides by 31
n=32
subsitute back
n/2=p
32/2=16=p
n-5=d
32-5=d=27
27 dimes
16 pennies
32 nickles
Answer:
52 cubic units
Step-by-step explanation:
1. Divide the shape into 2 parts:
The first one: a 2 by 4 by 6 rectangular prism.
The second one: a 1 by 4 by 1 rectangular prism.
2. Find the volumes of the prisms.
2*4*6=48
1*4*1=4
3. Add the two volumes
48+4=52 cubic units (or units^3)
