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lara31 [8.8K]
3 years ago
6

Help please worth 30

Mathematics
1 answer:
Rasek [7]3 years ago
7 0

Answer:

A) AA postulate; 18

Step-by-step explanation:

Due to the similar triangles, we can set up the proportion and solve for x

8/(8+4) = 12/x

8/12 = 12/x

8*x = 12*12 ... cross multiply

8x = 144

x = 144/8

x = 18

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Perimeter of the triangle below ?
Paha777 [63]

Answer:

31x^2-13x

Step-by-step explanation:

to find the perimeter of a triangle, add all sides.

P=a+b+c

P=(5x^2+x)+(8x^2-3x)+(18x^2-11x)

combine like terms

5x^2+8x^2-18x^2= 31x^2

x-3x-11x= -13x

31x^2-13x

5 0
4 years ago
To decrease an amount by 8 percent, what single multiplier would you use?
Alchen [17]
That's far more problems than I usually accept in a single question, but since you're new and obviously a beginner, I'll try to help. 

<span>To Increase an amount by 7% what single multiplier would you use </span>
<span>We want 7% more than 100% of the amount, so the multiplier is </span>
<span>(100% + 7%) = 107% = 1.07 </span>
<span>[Remember that "percent" means "per hundred," so we divide a percentage by 100 to get the numerical equivalent.] </span>

<span>To Decrease an amount by 7% what single multiplier would you use </span>
<span>We want 7% less than 100% this time, so the multiplier is </span>
<span>(100% - 7%) = 93% = 0.93 </span>

<span>5 ÷ 0.1 </span>
<span>= 50 </span>

<span>(To One Decimal Place) (0.3 x 2.8)Squared </span>
<span>[Notation: around here we usually write "squared" as ^2, where the ^ is an exponentiation sign.] </span>
<span>(0.3 x 2.8)^2 = 0.84^2 = 0.7056 </span>
<span>which is 0.7 when rounded to one decimal place. </span>

<span>6.38 + 4.52 ÷ 4.71 +9.53 </span>
<span>= 6.38 + (4.52 ÷ 4.71) + 9.53 [assuming operations in the usual order] </span>
<span>= about 6.38 + 0.96 + 9.53 </span>
<span>= 16.87 </span>

<span>Expand and Simplify </span>
<span>(x + 2)(x + 3) </span>
<span>= x^2 + 2x + 3x + 6 </span>
<span>= x^2 + 5x + 6 </span>

<span>Expand and Simplify </span>
<span>(x + 2)(x - 3) </span>
<span>= x^2 + 2x - 3x - 6 </span>
<span>= x^2 - x - 6 </span>

<span>x + 1 < 5 </span>
<span>x < 4 [subtracting 1 from both sides] </span>

<span>Make n the subject of the formula.... M=3n </span>
<span>3n = M </span>
<span>n = M/3</span>
5 0
3 years ago
The useful life of a certain piece of equipment is determined by the following formula: u=(8d)/h^2, where u is the useful life o
Anni [7]

Answer:

The correct answer is E.

Step-by-step explanation:

First I look for the relationships between the coefficients. The first term corresponds to the base value.

\frac{8*d}{h^{2}}  = \frac{8}{1} * \frac{d}{h^{2} }

The second term corresponds to the value obtained when the density of the underlying material is doubled and the daily usage of the equipment is halved.

\frac{2*8*d}{(0,5*h)^{2}}  = \frac{16*d}{0,25 * h^{2}}  = \frac{16}{0,25} * \frac{d}{h^{2} }

With the I get the ratio of coefficients of \frac{d}{h^{2}} :

\frac{8}{1} = 8

\frac{16}{0,25} = 64

Now I calculate  the percentage increase in the useful life of the equipment as:

% = \frac{64}{8} * %100 = %800

3 0
4 years ago
Toni is shopping for clothes at the store she buys 8 shirts for $8.00 what is the unit rate for the shirts?
lozanna [386]

Answer:

$1.00

Step-by-step explanation:

The unit rate in this scenario would be $1.00 , meaning that Toni is paying $1.00 for every shirt. This can be calculated by dividing the total price that she is paying for the shirts by the total number of shirts that Toni is purchasing like so...

$8.00 / 8 = $1.00 per shirt

The unit rate is basically the value over the denominator of 1 which would be the case as seen above since $1 buys 1 shirt (\frac{1 dollar}{1 shirt}) as opposed to $8 dollars 8 shirts (\frac{8 dollars}{8 shirts}) as mentioned in the question.

8 0
4 years ago
PLEASE HELP ASAP PLEASE I DON'T UNDERSTAND THIS!!!!!!!!!!!!!!
Vlada [557]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
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