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3 years ago

Which best completes the following sentence? triangles are congruent if they have the same

Mathematics

2 answers:

Katyanochek1 [597]3 years ago

6 0

Answer:

c. angle measures and side lengths

Step-by-step explanation:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

romanna [79]3 years ago

3 0

Answer:

size and shape

Step-by-step explanation:

APEX

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7. A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. What is the effective

Elina [12.6K]

Answer:

The effective interest rate, rounded to the nearest tenth, is 0.1%.

Step-by-step explanation:

The banker's rule is the simple interest formula.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly) and t is the time, in years.

The effective interest rate is given by the following formula:

$E_{IR} = \frac{E}{P}$ .

In this problem, we have that:

A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. We consider that the year has 360 days. This means that $P = 6200, I = 0.0884, t = \frac{40}{360} = \frac{1}{9}$ .

$E = 6200*0.0884*\frac{1}{9} = 60.9$

The effective interest rate is

$E_{IR} = \frac{E}{P} = \frac{60.9}{6200} = 0.0098 = 0.001$

The effective interest rate, rounded to the nearest tenth, is 0.1%.

8 0

3 years ago

Are these answers right Or wrong

uysha [10]

They are right except for 12. i think it is C but i could be wrong.

8 0

4 years ago

a drink is made by mixing pineapple juice orange juice and lime juice in the ratio 2:7:3 Sally makes 600ml of the fruit drink ho

satela [25.4K]

Pineapple juice : orange juice : lime juice = 2:7:3
So there is 2x of pineapple juice, 7x of orange juice and 3x of lime juice.

$2x+7x+3x=600 \\
12x=600 \\
x=50 \\ \\
pineapple \ juice \to 2x = 2 \times 50=100$

She used 100 ml of pineapple juice.

7 0

4 years ago

Read 2 more answers

What is the distance between (2,-1) and (2,5) rounded to the nearest 10th

xxMikexx [17]

Answer:

Step-by-step explanation:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(2-2)^2+(5+1)^2}=\sqrt{0^2+5^2}=\sqrt{25}=5$

5 0

4 years ago

The following data was collected from the manufacturing of an auto component. It represents the diameter (in mm) of that compone

kari74 [83]

Answer:

14.6

Step-by-step explanation:

(A). STEP ONE: Calculate the mean

(1). Row one = (10 + 12 + 12 + 14 ) = 48/4 = 12.

(2). Row Two: (12 + 11 + 13 + 16 ) = 52/4 = 13.

(3). Row three : (11 + 13 + 14 + 14)/4 = 13.

(4). Row four: (11 + 10 + 7 + 8)/4 = 36/4 = 9.

(5). Row five: (13 +12 + 14 + 13)/4 = 52/4 = 13.

(B). STEP TWO:

- determine the maximum and minimum value for each row.

- for each row, maximum - minimum.

Maximum values for each row:

Row one = 14, row two= 16, row three = 14, row four = 11 and row five = 14.

Minimum value for each row:

Row one = 10, row two = 11, row three = 11, row four =7 and row five = 12.

DIFFERENCES in each row :

row one = 14 - 10 = 4, row two = 16 - 11 = 5, row three = 14 - 11 = 3, row four = 11 - 7 = 4 and row five = 14 -12 = 2.

(C). STEP THREE: Calculate the mean of all the rows = 60/5 = 12.

(D). STEP FOUR : Calculate the Average Range = 18/5 = 3.6.

(E). STEP FIVE : Calculate the UCL.

A = Average rage × 0.729 = 3.6 × 0.729.

B = overall mean = 12.

UCL = A + B = 14.6.

7 0

3 years ago