What is a correct congruence statement for the triangles shown?

Mathematics

1 answer:

lina2011 [118]4 years ago

4 0

The correct congruence statement for the triangles shown is∆ BLG~=∆PFX.

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Write the phrase as an expression. Then evaluate the expression when y=20.

erica [24]

Answer: Evaluate 2x2−3x+8 when x=−4 .

Substitute −4 for x. 2(−4)2−3(−4)+8

Simplify exponents. 2(16)−3(−4)+8

Multiply. 32−(−12)+8

Subtract. 44+8

Add. 52

Now we can evaluate expressions that include multiplication and division with integers. Remember that to evaluate an expression, substitute the numbers in place of the variables, and then simplify.

3 0

3 years ago

A shopkeeper allows 15% discount on the marked price, still he manages to have 7% profit. How much high did he mark his goods ab

lianna [129]

Answer: $25.9\%$

Step-by-step explanation:

Given

Shopkeeper allows 15% discount on the marked price and still manages a profit of 7%

Suppose the marked price is $x$

So, the selling price is $(1-0.15)x=0.85x$

Suppose the cost price is $y$

$\Rightarrow \dfrac{0.85x-y}{y}=7\%\\\\\Rightarrow \dfrac{0.85x}{y}-1=0.07\\\\\Rightarrow \dfrac{0.85x}{y}=1.07\\\\\Rightarrow y=\dfrac{0.85x}{1.07}\\\\\Rightarrow y=0.794x$

So, the percentage the shopkeeper marked his goods above cost price

$\Rightarrow \dfrac{x-y}{y}\times 100\\\\\Rightarrow \dfrac{x-0.794x}{0.794}\times 100\\\\\Rightarrow \dfrac{0.2056}{0.794x}\times 100\\\\\Rightarrow 25.89\%\approx 25.9\%$