MATHEMATICS HIGH SCHOOL

ΔABC is reflected across line L to form Δ ALBLCL, and intersects line L at point D. Which equation is not necessarily true?

Answers

Answer 1

Answer: option 2
ALD=BLD equation is not necessarily true, all other remaining equations satisfy laws of reflection.

Answer 2

Answer:

Answer:

$A_LD= B_LD$ is false statement.

B is correct

Step-by-step explanation:

$\triangle ABC$ is reflected across line L to form $\triangle A_LB_LC_L$ .

If we join A and $A_L$ and intersect line L at point D.

Reflection: A transformation of a geometric figure such that creating a mirror image across the line. The line of reflection is called axis of reflection.

As we know mirror image figure has same property their side measure and angle measure equal.

$\triangle ABC \text{ is congruent to }\triangle A_LB_LC_L$ .

Distance of each vertex of figure from axis of reflection line is equal to their corresponding vertex.

Therefore, True statements are:-

$AD=A_LD$

$\angle ACB=\angle A_LC_LB_L$

$\angle BAC=\angle B_LA_LC_L$

$A_LD\neq B_LD$

Please find the attached figure for reflection and coordinates.

Hence, $A_LD= B_LD$ is false statement.

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If 1 lb = 454g, how many pounds would you have if you measured 285 g of Lead?

Answers

Answer:

approx. 0.628g of lead

Step-by-step explanation:

285 ÷ 454 = 0.62775...

Lucy correctly answered 70% of the questions on her science homework. She counted 14 correct answers. How many questions are there on her homework?

Answers

Answer:

9.8

Step-by-step explanation:

What is the distance between (-5,4) and (8,-2)

Answers

The distance between -5 and 8 is 13.

The distance between -2 and 4 is 6.

These two distances, including the hypotenuse which is the distance you want to discover - form a right angled triangle. The adjacent side of this right angled triangle has a length of 13, whilst its opposite side has a length of 6.

If you want to find the distance between (-5, 4) and (8, -2), you simply measure the hypotenuse of this invisible right angled triangle which has been formed. Let's call the length of this hypotenuse "d".

We shall use Pythagoras's theorem to produce our result:

${ d }^( 2 )={ 13 }^( 2 )+{ 6 }^( 2 )\n \n d=\sqrt { { 13 }^( 2 )+{ 6 }^( 2 ) } \n \n \therefore \quad d=\sqrt { 205 }$

[*Complete answer derived on a calculator]

This means that the distance between (-5, 4) and (8, -2) is $√(205)$ . $√(205)$ is approximately equal to 14.3.

I would love the help!(Geometry S2).

Answers

Answer:

Step-by-step explanation:

a² + a² = c²
2a² = c², this is the step you are at
a√2 = c

This proves the hypotenuse is √2 times the side.

The function h(x) = 31x2 + 77x + 41 can also be written as which of the following?A. y = 31x2 + 77x + 41

B. h(x) + 41 = 31x2 + 77x

C. y = 31x2 + 77x − 41

D. y + 41 = 31x2 + 77x

Answers

Answer:

I think the answer is A. y= 31x2 + 77x + 41

Step-by-step explanation:

Final answer:

The function h(x) = 31x2 + 77x + 41 can also be written as y = 31x2 + 77x + 41, as y is often used interchangeably with f(x) or h(x) in mathematical functions. The remaining options do not accurately reformulate the original equation.

Explanation:

The function

h(x) = 31x2 + 77x + 41

can also be written as

y = 31x2 + 77x + 41

. This is because in mathematical functions, y is often used interchangeably with f(x) or h(x), representing the output or dependent variable. It's important to note that, the other options do not correctly represent the original equation. In Option B, the constant term is incorrectly added to the function on the left side; in Option C, the constant term is incorrectly subtracted; and in Option D, the constant term is incorrectly added to 'y' on the left side.

Learn more about Mathematical functions here:

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What is -2.1, 0.5, -0.5, 5/100 ordered in least to greatest

Answers

Answer:-2.1,-0.5,5/100,0.5

Step-by-step explanation:

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