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3 years ago

Which statement is an example of the symmetric property of congruence?

1 answer:

3 0

The correct answer is:

$\text{D) If }EFG \cong HJK, \text{ then } HJK \cong EFG.$

Explanation:

The symmetric property states that if two quantities are equal (or congruent), you can "flip" them around the equals sign (or congruence sign).

This means since EFG is congruent to HJK, then HJK is congruent to EFG.

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While he hikes in the Gold Country of northern California, Sid dreams about the adventurers that walked the same trails years ag

olga2289 [7]

I did. Undestand the probelm

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3 years ago

Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.

vekshin1

Answer:

(a) $l = -w + 21$

(b) Domain: $0$ (See attachment for graph)

Step-by-step explanation:

Given

$2(l + w) = 42$

$l = length$

$w = width$

Solving (a): A function; l in terms of w

All we need to do is make l the subject in $2(l + w) = 42$

Divide through by 2

$l + w = 21$

Subtract w from both sides

$l + w - w = 21 - w$

$l = 21 - w$

Reorder

$l = -w + 21$

Solving (b): The graph

In (a), we have:

$l = -w + 21$

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be $0$

--------------------------------------------------------------------------------------------------

To check this

When $w = 1$

$l = -1 + 21$

$l = 20$

$(w,l) = (1,20)$

When $w = 20$

$l = -20 + 21$

$l = 1$

$(w,l)= (20,1)$

--------------------------------------------------------------------------------------------------

See attachment for graph

Solving (c): Write l as a function $f(w)$

In (a), we have:

$l = -w + 21$

Writing l as a function, we have:

$l = f(w)$

Substitute $f(w)$ for l in $l = -w + 21$

$l = -w + 21$ becomes

$f(w) = -w + 21$

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3 years ago

christina wants to buy a coach bag that normally costs $450. It goes on sale at a 15% discount. What is the amount of money bein

schepotkina [342]

Answer:

67.50

Step-by-step explanation:

100%-> 450

15%-> 67.50

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3 years ago

WHat is 20/7 written as a decimal rounded to the nearest tenth?

S_A_V [24]

To solve this, you just divide 20 divided by 7.

20/7 = 2.85714285714

If you are trying to round to the nearest tenth, the next decimal place (hundredths) is a 5, so you must round 2.8 up one more digit.

Your final answer is that 20/7 = 2.9 when rounded to the nearest tenth.

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3 years ago

A circle has a diameter of 16 cm. What is its circumference?

Olegator [25]

Answer:

the answer is 50.27 cm for your question

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3 years ago