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djverab [1.8K]
3 years ago
7

there are 320 seats in the airplane. passengers are taking 3/5 of the seats. There are 47 seats being used by flight attendants.

How many seats are not being used in the plane?
Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer: 124

Step-by-step explanation:

Multiply 320 by 3/5 (.6) and you will get 192. Then you subtract 320 by 47 and get 316. You subtract 192 from 316 and get 124.

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Congruent triangles & proofs need answers to all the ones i got wrong. thank u!
notka56 [123]

Answer:

Step-by-step explanation:

13. Since, it is given that we have to prove ΔGDH≅ΔFEH by HL rule, thus From ΔGDH, ∠GDH=90° and GH is the hypotenuse and from ΔFEH, ∠HEF=90° and HF is the hypotenuse, thus in ΔGDH and ΔFEH,

∠GDH≅∠HEF=90°

GH≅FH,

Thus by HL the given triangles are congruent.

Option A is correct.

14. From the figure, it can be seen that both triangles have a right angle congruent and hypotenuse congruent, thus by HL rule, triangle scan be prove congruent.

Option A is correct.

15. It is given that BI is parallel to RD, thus using the alternate interior angle property, ∠B≅∠R.

Option C is correct.

16. It is given that BI is parallel to RD, and ∠BSI and ∠RSD form the vertically opposite angles, thus ∠BSI≅∠RSD by vertical angles are congruent.

Option A is correct.

17. Since Δ ABC is an isosceles triangle, thus two sides of the triangle are equal, therefore ∠A=∠B=3x+5, using the angle sum property in ΔABC, we have

3x+5+2x+3x+5=180°

⇒8x+10=180

⇒8x=170

⇒x=21.25

Thus, ∠B=3x+5=3(21.25)+5=63.75+5=68.75°

18. From ΔJKL and ΔDEF, we have

∠K=∠E (given)

∠L=∠F(given)

JL=DF

Thus, By AAS rule ΔJKL ≅ ΔDEF

As corresponding angles and corresponding sides are equal in these two triangles as compared to the other triangles.

8 0
3 years ago
Sam needs a web designer. Designer A is offering her services for an initial $510 in addition to $80 per hour. Designer B is off
lutik1710 [3]

Answer:

The answer is when they work 4 hours  x=4

Step-by-step explanation:

510 + 80x = 650 + 45x

80x - 45x = 650 - 510

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x = 140/35

x = 4 hours

3 0
3 years ago
How do i graph y= 2x
Vladimir79 [104]
Choose values for x, multiply them by 2, then graph these points.<span />
3 0
3 years ago
Please help me out! It’s urgent!
LuckyWell [14K]

Answer:

8 square units

Step-by-step explanation:

Area of the shaded shape = sum of shaded squares × 1 square unit

= 8 × 1 = 8 square units

6 0
2 years ago
Recall that for use of a normal distribution as an approximation to the binomial distribution, the conditions np greater than or
vagabundo [1.1K]

Answer:

The minimum sample size needed for use of the normal approximation is 50.

Step-by-step explanation:

Suitability of the normal distribution:

In a binomial distribution with parameters n and p, the normal approximation is suitable is:

np >= 5

n(1-p) >= 5

In this question, we have that:

p = 0.9

Since p > 0.5, it means that np > n(1-p). So we have that:

n(1-p) \geq 5

n(1 - 0.9) \geq 5

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n \geq \frac{5}{0.1}

n \geq 50

The minimum sample size needed for use of the normal approximation is 50.

6 0
3 years ago
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