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OverLord2011 [107]
3 years ago
7

Leah and Dan are trying to prove that the triangles below are congruent. Leah says they are congruent by the AAS congruence crit

eria, while Dan says they are congruent by the ASA congruence criteria. Who is correct? Explain.

Mathematics
1 answer:
Masteriza [31]3 years ago
4 0
Answer: Leah is correct, it’s AAS

Explanation: angle C = angle N
angle B = angle M
AB = LM
ABC = LMN, alternate interior angles of parallel lines are congruent
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ELEN [110]

Answer:

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4 0
3 years ago
Penelope determined the solutions of the quadratic function by completing the square. F(x) = 4x2 8x 1 –1 = 4x2 8x –1 = 4(x2 2x)
Ymorist [56]

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

<h3>What is quadratic equation ?</h3>

Any equation of the form ax^2+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$$

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$$

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

To learn more about quadratic equations visit : brainly.com/question/1214333

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2 years ago
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3 years ago
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Answer:

No

Step-by-step explanation:

The upper Quartile is also known as the third quartile. And the greatest value is at the far right of the plot I placed an image below

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I believe that the answer is ‍♀️
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