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labwork [276]
3 years ago
10

I need help on #10. I figured the other ones out

Mathematics
1 answer:
GalinKa [24]3 years ago
6 0
First, find the ratio between the two polygons. Lets take segment MG and TV since they are congruent. MG is 4, TV is 3. The ratio of MG to TV is 4:3. We can write it as 4/3. Since other arts are congruent as well, then NK is congruent to PR, and has a ratio of 4:3. This means that (3x-2)/(x+4) is equal to 4/3. Now solve for x
(3x-2)/(x+4)=4/3 
3(3x-2)=4(x+4)         ---cross multiply
9x-6=4x+16
9x-4x-6=4x-4x+16    ---subtract 4x from both sides
5x-6=16
5x-6+6=16+6            ---add 6 on both sides
5x=22
5x/5=22/5                 ---divide 5 on both sides
x=22/5

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PLS HELP!<br> solve by completing the square<br> x²+4x=8
masya89 [10]

Step-by-step explanation:

x²+4x=8

rearrange

x² + 4x - 8 = 0

half of 4 is 2

so

x² + 4x + 2² - 2² - 8 = 0

do x² + 4x + 2²

multiplies to give 4 adds to give 4

2+ 2

(x + 2)²

(x + 2)² - 2² - 8

(x + 2)² - 4 - 8

(x + 2)² - 12

(x + 2 + √12) (x + 2 - √12)

√12 = √4 * √3 = 2 √3

(x + 2 + 2√3) (x + 2 - 2√3)

4 0
2 years ago
It takes 20 hours and $400 to interview a candidate, and it takes 120 hours and $3600 to train an employee. A company has less t
zavuch27 [327]
<span>Let C denote the number of candidates they interview and E the number of employees they train.
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<span>If it takes 20 hours and $400 to interview a candidate, then it takes 20C hours and $400C to interview C candidates.
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If <span>it takes 120 hours and $3600 to train an employee, then it takes 120E hours and $3600E to train E employees.
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Company has less than <span>$95000, then 400C+3600E<95000.
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Company <span>wants to spend at most 470 hours, then 20C+120E\le&#10; 470.
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<span>You obtain the system of two inequalities:
</span>

\left \{ {{400C+3600E\ \textless \ 95000} \atop {20C+120E\le&#10; 470}} \right.  \\  \left \{ {{4C+36E\ \textless \ 950} \atop {C+6E\le &#10;23.5}} \right. \\ \left \{ {{4C+36E\ \textless \ 950} \atop {4C+24E\le &#10;94}} \right.
Then you can solve this system according to your demands.






3 0
3 years ago
Please help! Thanks (:
ryzh [129]
\frac{x*x}{2}=49 \\  \\ x^2=49*2\\x^2=98 \\x= \sqrt{98} \approx 9.9 \ in
3 0
3 years ago
What is y= 1/3 x - 9 written in standard form?
NISA [10]

Answer:

c

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
T = 320.00 + 0.40b
Gemiola [76]

Answer:

c) The total price for the service  when Terrance's price was equivalent to Sylvester's price  is $600.

Step-by-step explanation:

   Here,   t = 320.00 + 0.40 b

and  t = The total prices charged by Terrance for packing and moving b boxes.

s = 250.00 +0.50 b

and  s = The total prices charged by Sylvester  for packing and moving b boxes.

Now, to find the number of boxes, when both the prices are equal.

⇒320.00 + 0.40 b  = 250.00 +0.50 b

or, 320 - 250 = 0.50 b - 0.40 b

or, 0.10 b =  70

or, b= 70/0.10 = 700

Hence, for packing and moving b = 700 boxes, both companies charge the same amount.

Now, the price charged = 320 + 0.4 (b)

                                         = 320 + 0.4(70) = 320 + 280

                                         = 600

or,  the total price for the service  when Terrance's price was equivalent to Sylvester's price  is $600.

3 0
3 years ago
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