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3 years ago

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! solve by completing the square x²+4x=8

masya89 [10]

Step-by-step explanation:

x²+4x=8

rearrange

x² + 4x - 8 = 0

half of 4 is 2

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]

Let C denote the number of candidates they interview and E the number of employees they train.

If it takes 20 hours and $400 to interview a candidate, then it takes 20C hours and $400C to interview C candidates.

If it takes 120 hours and $3600 to train an employee, then it takes 120E hours and $3600E to train E employees.

Company has less than $95000, then 400C+3600E<95000.

Company wants to spend at most 470 hours, then $20C+120E\le
 470$ .

You obtain the system of two inequalities:


$\left \{ {{400C+3600E\ \textless \ 95000} \atop {20C+120E\le
 470}} \right. \\ \left \{ {{4C+36E\ \textless \ 950} \atop {C+6E\le 
23.5}} \right. \\ \left \{ {{4C+36E\ \textless \ 950} \atop {4C+24E\le 
94}} \right.$
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:

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