Answer:
a) x = 60. b) b = 110. c) x = 20. d) x = 30.
Explanation:
For question a, 2x and 120° are opposite (vertical) angles so they must be the same measure according to the vertical angle theorem by definition, given they are angles formed by the transversal cutting two parallel lines. 2x = 120, so x = 60.
For question b, 130° and b + 20 are corresponding angles of the transversal cutting parallel lines, so they must be the same measure according to corresponding angle theorem(same side, one angle inner, and the other exterior of that) by definition. Given that they are both pairs of the same angle, they must be corresponding angles. 130° = b + 20, b = 110.
For question c, 120° and 2x + 20 are same side interior angles so they must be supplementary(add up to 180°) by definition. This is on the *same side* of the transversal inside the two parallel lines cut by it. 120° + 2x + 20° = 180°, x = 20°.
For question d, They are also on the same side but on the left so the same property of corresponding angles applies, so 3x + 10, and 100° must be the same measure. Therefore 3x + 10 = 100°, and x = 30.
Pipe 1=5√96=5√(6*2⁴)=5*2²√6=20√6
pipe 2=12√150=12√(6*5²)=12*5√6=60√6
pipe 3=2√294=2√(6*7²)=2*7√6=14√6
piping=pipe 1 + pipe 2 + pipe3
piping=20√6 + 60√6 + 14√6=(20+60+14)√6=94√6
Answer: 94√6 (this is the correct answer)
your choices are not corrects
Answer:
288
Step-by-step explanation:
I’m not 100% sure yho
The perimeter is 38 , As you can see each of the sides provided also have another side across from it that’s equal to the length, therefore you you double the size of the sides that were given , and add them two together.
Puppies = 4 feet
Parrots = 2 feet
15 heads = 15 animals
Assumed all Parrots,
15 x 2 = 30 feet
50 - 30 = 20
There are 20 extra feet which must belong to puppies' extra 2 feet each
20 ÷ 2 = 10
There are 10 puppies
15 - 10 = 5
There are 5 parrots
Check:
10 x 4 + 5 x 2 = 50 feet (Correct)