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3 years ago

Prove the triangles are congruent

Mathematics

1 answer:

frozen [14]3 years ago

4 0

Answer:

1: two sides and angle of one triangle are congruent.

Step-by-step explanation:

The triangles are congruent because two sides and the generated angle of a triangle correspond to their respective sections. If two angles and the side used in one triangle are identical.

Hope this helps

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How does the job satisfaction score for weeks 5-8 compare to weeks 1-4?

MrRa [10]

The correct comparison for Weeks 5-8 is higher than Week 1-4, hence, the job satisfaction for Week 5-8 is 17% higher.

Job Satisfaction Score :

Week 1 = 3.50
Week 2 = 3.40
Week 3 = 3.30
Week 4 = 3.60
Week 5 = 4.20
Week 6 = 4.00
Week 7 = 4.10
Week 8 = 3.90

Job Satisfaction for week 1 - 4 :

Week 1 + Week 2 + Week 3 + Week 4
(3.50 + 3.40 + 3.30 + 3.60) = 13.80

Job Satisfaction for Week 5 - 8 :

Week 5 + Week 6 + Week 7 + Week 8
(4.20 + 4.00 + 4.10 + 3.90) = 16.20

Difference between the two categories :

[(Week 5 - 8) - (Week 1-4)] / Week 1-4] × 100%

(16.20 - 13.80) / 13.80 × 100%

(2.4 / 13.80) × 100%

0.1739 × 100%

= 17.39%

Therefore, the job satisfaction for Week 5 - 8 is about 17% higher than Week 1 - 4

Learn more :brainly.com/question/13218948

8 0

3 years ago

Share R86,70 in the ratio 2 : 1

rusak2 [61]

Answer:

2:1

2=5780

1=2890

Step-by-step explanation:

2/2+1=2/3×86,70=5780

1/2+1=1/3×8670=2890

4 0

3 years ago

Somebody help plz!!!

amid [387]

Answer:

42°

Step-by-step explanation:

angle b is complementary to 48° so their sum is 90°.

4 0

3 years ago

Read 2 more answers

In order to estimate the mean amount of time computer users spend on the internet each month. How many computer users must be su

evablogger [386]

Answer:

Step-by-step explanation:

Given that confidence level is 95% and sample mean is within 10 minutes of the population mean. i.e. margin of error = 10

Std deviation of population= 211 minutes

Margin of error = Z critical * std error

Std error = sigma/sq rt n = $\frac{211}{\sqrt{n} }$

Hence we have

\frac{211}{\sqrt{n} } $\frac{211}{\sqrt{n} }*1.9641.356\\n>1710$

The minimum sample size is 1710

a) There may not be 1,809 computer users to survey

4 0

3 years ago

Mike took clothes to the cleaners three times last month. First, he brought 4 shirts and 1 pair of slacks and paid $15.95. The

Vsevolod [243]

Answer:

Each Shirt ≈ $2.49

Each Pair of Slacks ≈ $5.99

Each Sports Coat ≈ $7.99

Step-by-step explanation:

Mike took clothes to the cleaners three times last month.

Let S denotes shirts, P denotes pair of slacks and C denotes sports coat.

First, he brought 4 shirts and 1 pair of slacks and paid $15.95.

Mathematically,

4S + P = 15.95 eq. 1

Then he brought 7 shirts, 4 pairs of slacks, and 1 sports coat and paid $49.38.

Mathematically,

7S + 4P + C = 49.38 eq. 2

Finally, he brought 3 shirts and 1 sports coat and paid $15.46.

Mathematically,

3S + C = 15.46 eq. 3

We are asked to find how much was he was charged for each shirt, each pair of slacks, and each sports coat.

4S + P + 0C = 15.95 eq. 1

7S + 4P + C = 49.38 eq. 2

3S + 0P + C = 15.46 eq. 3

We have 3 equations and 3 unknowns, they can be solved simultaneously using calculator or using online system of equations solver.

Using online system of equations solver yields,

S ≈ $2.49

P ≈ $5.99

C ≈ $7.99

So that means Mike was charge $2.49 for each shirt, $5.99 for each pair of slacks and $7.99 for each sports coat.

5 0

3 years ago