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3 years ago

I needdd help please! ):

Mathematics

1 answer:

nignag [31]3 years ago

3 0

9514 1404 393

Answer:

16. x = 11

17. x = 4

Step-by-step explanation:

The triangles of interest are congruent, so corresponding parts have the same measure.

16. 2x+2 = x+13

x = 11 . . . . . . . . . subtract x+2 from both sides

17. 4x+4 = 3x+8

x = 4 . . . . . . . . . subtract 3x+4 from both sides

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Gabriella ate 5 pieces of pie Daniel ate 2 slices if there was 3 reaming what fraction was the pie eaten

Simora [160]

10 total pieces of the pie
-5
-2
And only 3 remained so your answer would be
3/10

5 0

3 years ago

Read 2 more answers

At 2:00 pm there are 350 freshmen and 200 sophomores at a school carnival. After 2:00 pm 20 freshman leave every hour and 35 sop

dmitriy555 [2]

Answer:

160:340

Step-by-step explanation:

The hours between 2:00pm and 4:00pm is 2 hours. If originally 350 freshman and 200 sophomores are at the carnival, and 20 freshman leave every hour, we can determine how many freshman left in 2 hours:

$=20\cdot{2}=40$

and if 35 sophomores arrive every half our, we know that for every two hours there is 4 half hours, therefore:

$=35\cdot{4}=140$

The amount of freshman at 4:00pm:

$200-40=160$

and the amount of sophomores:

$200+140=340$

the ratio is 160:340

5 0

3 years ago

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2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3

ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

$x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29$

The associated matrix to the system is

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]$

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]$

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]$

Using backward substitution we have that

$0x_5=-140$ , then $0=-140$ and this is absurd. Then The system is inconsistent.

4 0

4 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 8, 12,18 find the 6th term

Andreas93 [3]

Answer:

8 12 18 24 34 46

Step-by-step explanation:

its adding 2 to evrey one that changes

hope this helps :)

5 0

3 years ago

How to write 12/5 as a mixed number

Marat540 [252]

Answer:

2 2/5

Step-by-step explanation:

divide 12 into 5 you get 2.4

2.4 is the same as 2 4/10 which can be equal to 2 2/5

3 0

3 years ago

Read 2 more answers