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mylen [45]
4 years ago
5

100p for an answer please

Mathematics
1 answer:
Lelu [443]4 years ago
3 0
Quotient is n over 7
difference is n-7
product is 7n
sum is n+7

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In the problem we’re supposed to find the value of x that makes ABC ~ RST I can’t figure it out can someone please help
navik [9.2K]

Answer:

Step-by-step explanation:

if the triangles are similar then their sides are in proportion ( or you can think that they make equivalent fractions like 2/3 = 4/6 )

44/ (x+2) = 20/7 = 3x+1 /5 ( all of those are equivalent  fractions)

use that  \frac{a}{b} =\frac{c}{d}  is the same as a*d = b*c

\frac{44}{x+2} =\frac{20}{7}  is the same as 20(x+2) = 7*44

20x +40 = 308; subtract 40 from both sides

20x = 268; divide by 20 both sides

x= 13.4

8 0
3 years ago
Which of the following is the complete factorization of 10x - 3 - 3x2? -(3x + 1)(x - 3) -(3x - 1)(x - 3) (3x - 1)(x + 3)
qaws [65]

Answer:

=-\left(3x-1\right)\left(x-3\right)

Step-by-step explanation:

10x-3-3x^2\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(3x^2-10x+3\right)\\\mathrm{Factor}\:3x^2-10x+3:\quad \left(3x-1\right)\left(x-3\right)\\3x^2-10x+3\\\mathrm{Write\:in\:the\:standard\:form}\:ax^2+bx+c\\=3x^2-10x+3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(3x^2-x\right)+\left(-9x+3\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}3x^2-x\mathrm{:\quad }x\left(3x-1\right)\\3x^2-x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=3xx-x

\mathrm{Factor\:out\:common\:term\:}x\\=x\left(3x-1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-9x+3\mathrm{:\quad }-3\left(3x-1\right)\\-9x+3\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\=-3\cdot \:3x+3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(3x-1\right)\\=x\left(3x-1\right)-3\left(3x-1\right)\\\mathrm{Factor\:out\:common\:term\:}3x-1\\=\left(3x-1\right)\left(x-3\right)\\=-\left(3x-1\right)\left(x-3\right)

5 0
4 years ago
Read 2 more answers
Nelson was willing to trade Gavin 5 basketball cards for every 2 baseball cards he had. If Gavin has 46 baseball cards, how many
Cerrena [4.2K]

Answer:

Nelson would have to have 115 basketball card.

Step-by-step explanation:

46 divided by 2 would be 23. Now you multiply 23 x 5 = 115.

3 0
3 years ago
Mason walked 1/3 mile before lunch and 5/12 mile after lunch.
Vlada [557]
It is 9/12 and simplified that is 3/4
5 0
3 years ago
Ejercicio de algebra. Reducir:
serg [7]
The correct answer is 1/a^7 (b)
5 0
3 years ago
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