Answer:
Step-by-step explanation:
tanθ = 4/9
θ = arctan(4/9) ≈ 23.96°
10% * $230.00 = $23.00
The discount is $23.00.
_____
Of course, you know that 10% expressed as a decimal is 0.10. Many calculators will calculate percentages directly. If yours doesn't, you can use the decimal equivalent. If you recognize that multiplying by 1/10 simply shifts the decimal point to the left one place, you can do the arithmetic in your head.
Answer:
40%
Step-by-step explanation:
40% of 70 is 28
20% of 70 is 14
so there are 28 8th graders 28 is 40% of 70
Also, #SPEEDRUN
Answer:
44
Step-by-step explanation:
5 1/2 / 1/8
turn into improper fraction
11/2 then change to multiplication
11/2*8/1(have to flip)
88/2(multiply across)
simplify=44
Answer:
ASA and AAS
Step-by-step explanation:
We do not know if these are right triangles; therefore we cannot use HL to prove congruence.
We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.
We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.
Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.
