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svlad2 [7]
3 years ago
6

100 points!!! Show your work on paper

Mathematics
2 answers:
lyudmila [28]3 years ago
5 0

Answer:

  • 10 cm, 15 cm

Step-by-step explanation:

Set ratios and solve for x

<u>Corresponding sides are AC with A'C' and CB with C'B'</u>

  • AC/A'C' = CB/C'B'
  • (x - 1)/2 = (x + 4)/3
  • 3(x - 1) = 2(x + 4)
  • 3x - 3 = 2x + 8
  • 3x - 2x = 8 + 3
  • x = 11

<u>Find the values of AC and CB:</u>

  • AC = x - 1 = 11 - 1 = 10 cm
  • CB = x + 4 = 11 + 4 = 15 cm
Tanzania [10]3 years ago
4 0

Answer:

AC=10cm

BC=15cm is your answer

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A shoe store donated a percent of every sale to charity. a the total sales were $9,800 so the store donated $588. What percent o
Gnom [1K]

Answer:

They donated 6%.

Step-by-step explanation:

The total sales were $9800.

The amount donated is $588.

We want to know what percent of 9800 is 588.

Let's make an equation.

what percent of 9800 is 588

x/100 • 9800 = 588

Divide by 9800.

x/100 = 0.06

Multiply by 100.

x = 6

They donated 6%.

Hope this helps!

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3 years ago
Akiko, manager of Little Ginza, is concerned about ordering the right amount of salmon. Daily consumption of salmon has a mean o
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3 years ago
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3 years ago
Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.
Verizon [17]

Answer:

<h2>-223,948</h2>

Step-by-step explanation:

The formula of a sum of terms of a gometric sequence:

S_n=a_1\cdot\dfrac{1-r^n}{1-r}

a₁ - first term

r - common ratio

We have

a_n=-4(6)^{n-1}

Calculate a₁. Put n = 1:

a_1=-4(6)^{1-1}=-4(6)^0=-4(1)=-4

Calculate the common ratio:

r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=-4(6)^{n+1-1}=-4(6)^n\\\\r=\dfrac{-4(6)^n}{-4(6)^{n-1}}=6^n:6^{n-1}\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=6^{n-(n-1)}=6^{n-n+1}=6^1=6

\text{Substitute}\ a_1=-4,\ n=7,\ r=6:\\\\S_7=-4\cdot\dfrac{1-6^7}{1-6}=-4\cdot\dfrac{1-279936}{-5}=-4\cdot\dfrac{-279935}{-5}=(-4)(55987)\\\\S_7=-223948

7 0
4 years ago
Fill in the table using this function rule. <br><br> y=-2x+3<br><br> × -2, -1, 0, 1
ycow [4]

Answer:

If x = -2, -1, 0, 1, then (In this order) y = 7, 5, 3, 1

Step-by-step explanation:

If you put in each value of "x" into the equation, you'll get the appropriate "y".

y= -2(-2)+3

y= 4+3

y= 7

y= -2(-1)+3

y= 2+3

y= 5

y= -2(0)+3

y= 0+3

y= 3

y= -2(1)+3

y= -2+3

y= 1

6 0
3 years ago
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