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3 years ago

Statements and reasons

Mathematics

1 answer:

iris [78.8K]3 years ago

7 0

When you’re writing proofs, always write the given ones. You have angle FGE are congruent to angle HGI. Good. Since side HI and FE are parallel we know angle F and I are congruent because of alternate interior angles. There fore the triangles are congruent. If the triangles are congruent then side FE and HI are congruent

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7/12 divided by 3/4 is what?

Kisachek [45]

28/36 will be your answer which can be simplified into 14/18 which can be simplified again to 7/9 and that's your final answer

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3 years ago

Suppose that $9500 is placed in an account that pays 8% interest compounded each year.

Blababa [14]

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2 years ago

I have many students are represented in the data set?

nalin [4]

Answer:

a) 19 students

b) the mean 3 9/19

the median 3

the mode 3

c) the range 6

Step-by-step explanation:

The data set shows that

0 points gets 1 student,

1 point gets 1 student,

2 points get 2 students,

3 points get 6 students,

4 points get 4 students,

5 points get 3 students and

6 points get 2 students.

a) There are 1+1+2+6+4+3+2=19 students.

b) The mean is

$\dfrac{1\cdot 0+1\cdot 1+2\cdot 2+6\cdot 3+4\cdot 4+3\cdot 5+2\cdot 6}{19}=\dfrac{66}{19}=3\dfrac{9}{19}.$

The average score is 3 9/19 points.

The median is 10th term in the data set - 3 points (means the middle score in the data set)

The mode is 3 points (means most happened score)

c) The range of the data is 6-0=6 points.

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2 years ago

Help please! math assignment

MArishka [77]

Answer:

The left side 5

The bottom 10

The slanted side 11

Step-by-step explanation:

To find the perimeter of the triangle, add up the side lengths

x+ 2x+1 + x+5 = 26

Combine like terms

4x+6 = 26

Subtract 6

4x+6-6 =26-6

4x=20

Divide by 4

4x/4 = 20/4

x=4

The left side x = 5

The bottom x+5 = 5+5 = 10

The slanted side = 2x+1 = 2*1 +1 = 10+1 =11

4 0

2 years ago

Read 2 more answers

Evaluate the function<br>(x) = 11 – 3x<br>for -2).

il63 [147K]

Answer:

Step-by-step explanation:

f(x) = 11 - 3x

f(-2) - <em>put x = -2 to the f(x):</em>

<em />

f(-2) = 11 - 3(-2) = 11 + 6 = 17

3 0

3 years ago