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4 years ago

Are these triangles similar?

Mathematics

2 answers:

EleoNora [17]4 years ago

8 0

Answer:

yes

Step-by-step explanation:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion

Sav [38]4 years ago

8 0

No There not similar

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3 years ago

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3 years ago

What are the potential solutions to the equation 2ln(x+3)=0

skad [1K]

$2\ln(x+3)=0\implies \ln(x+3)^2=0\implies e^{\ln(x+3)^2}=e^0\implies (x+3)^2=1$

Expanding the left side gives

$x^2+6x+9=1\implies x^2+6x+8=0\implies (x+4)(x+2)=0$

which gives two solutions, $x=-4$ and $x=-2$ . But if $x=-4$ , then $\ln(x+3)=\ln(-1)$ , but this number isn't real, so $x=-4$ is an extraneous solution. Meanwhile if $x=-2$ , you get $\ln(-2+3)=\ln1=0$ , so this solution is correct.

"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.

4 0

4 years ago

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The equation of line AB is y 5x+ 1. Write an equation of a line paraliei to line AB in slope-intercept form that contains point

Alchen [17]

Answer:

The equation would be y = 5x - 15

Step-by-step explanation:

To find the equation to this line, we first have to note that parallel lines have the same slope. Since the original line has a slope of 5, we know that the new line will also have that slope. Then we can use the slope and the point in point-slope form and solve for y.

y - y1 = m(x - x1)

y - 5 = 5(x - 4)

y - 5 = 5x - 20

y = 5x - 15

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3 years ago

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Which set of rational numbers is arranged from least to greatest?

Maslowich

I do not see an illustration.

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4 years ago

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