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2 years ago

ABC and AED are straight lines.

Mathematics

1 answer:

grandymaker [24]2 years ago

6 0

Answer:

CD = 5.7 cm
ED = 3.05 cm

Step-by-step explanation:

a) ΔACD ~ ΔABE so the ratios of corresponding sides are the same. That is ...

CD/BE = CA/BA

CD/3.8 = 12.3/8.2

CD = 3.8×12.3/8.2 = 5.7 . . . . cm

b) As above, the ratios of corresponding sides are the same.

ED/AD = BC/AC

ED/9.15 = (12.3-8.2)/12.3 . . . . BC = AC - AB

ED = 9.15×4.1/12.3 = 3.05 . . . . cm

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Avon Edwards worked 45.5 hours at $5 per hour. He made $100 in tips but no bonuses. Anything over 40 hours is paid time-and-a-ha

posledela

Answer:

1. D

2. B

Step-by-step explanation:

Question 1:

We can get Avon's earnings using the equation $W=HR+1.5VR+B+T$

Where W is his earnings

HR is the regular hours (40 hours in this case)

V is overtime hours (hours over 40, 45.5 - 40 = 5.5 hours)

B is bonus (no bonus)

T is tips ( $100 tips, given)

and R is the rate (which is $5 per hour)

Substituting the given info into the equation, we get:

$W=HR+1.5VR+B+T\\W=(40)(5)+1.5(5.5)(5)+0+100\\W=341.25$

So avon's earnings are $341.25

Answer choice D is right.

Question 2:

The other employee needs to work $x$ hours @ $15 per hour to equate or surpass $428. So we can set up the equation shown below and solve for x:

$(15)(x)=428\\x=\frac{428}{15}\\x=28.53$

Rounded to 1 decimal place, this is about 28.5 hours

Answer choice B is right.

6 0

2 years ago

Read 2 more answers

The angle measurement in the diagram are represented by the following expressions.

PSYCHO15rus [73]

The value of x=9° and ∠B=40°

Step-by-step explanation:

From angles relationship, ∠A =∠B=corresponding angles

5x-5°=3x+13°

5x-3x=13°+5°

2x=18°

x=18/2 =9°

∠B=3x+13°= 3×9°+13° = 27° +13° =40°

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Corresponding angles: brainly.com/question/12274210

Keyword : Angle

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2 years ago

Meg used this table to track the average attendance from month to month at her theater for five months. A 5-column table with 1

White raven [17]

Answer:

B - Her monthly average would have increased by $19.57. ... Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month ... Lisa is currently taking physics as one of her electives in school.

Step-by-step explanation:

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2 years ago

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P(n,6)=3p(n,5) what is the value of n.

Leokris [45]

Answer:

n = 10

Step-by-step explanation:

3n1!/(n-4)! = (n-1)!/( n-1-5)

3n(n-1)(n-2)(n-3)(n-4) / N-4 -------- case1 ( cancel ( n-4) from top and bottom)

= (n-1)(n-2)(n-3)(n-4)(n-5)(n-6) / n-6 --------- case 2 ( Cancel n-6 from top and

bottom and also cancel n-1,

n-2, n-3 with case 1)

3n = ( n-4)(n-5)

3n = n² - 5n - 4n + 20

3n = n² - 9n + 20

0 = n² - 9n - 3n + 20

0 = n² - 12n + 20

0 = (n-2)(n-10)

n = 2 ( not valid) n = 10

Therefore n = 10

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2 years ago

what is the first step when rewriting y = 3x2 9x – 18 in the form y = a(x – h)2 k? 3 must be factored from 3x2 9x x must be fact

QveST [7]

Steps in rewriting :
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Answer:
A ) 3 must be factored from 3 x² + 9 x.

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2 years ago

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