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3 years ago

12

To create an image, Figure D is going to be reflected across the y-axis, rotated 180° around the point indicated in the figure,

and translated vertically across the x-axis. What must be true about Figure D and its image?

1 answer:

uranmaximum [27]3 years ago

8 0

The image and pre-image are congruent

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For which value of x must the square root <br><br> 97x<br><br> be further simplified

lys-0071 [83]

Question:

For which value of x must the expression √97x be further simplified?

A. 5 B. 10 C. 15 D. 20

Answer:

$D.$ $x = 20$

Step-by-step explanation:

Given

$\sqrt{97x$

Required

For what value of x can it be simplified

From the list of options, only (D) is correct

D. 20

Substitute 20 for x in $\sqrt{97x$

$\sqrt{97 x} = \sqrt{97 * 20}$

Express 20 as 4 * 5

$\sqrt{97 x} = \sqrt{97 * 4 * 5}$

Reorder

$\sqrt{97 x} = \sqrt{4 *97 * 5}$

Split

$\sqrt{97 x} = \sqrt{4} *\sqrt{97 * 5}$

$\sqrt{97 x} = 2*\sqrt{97 * 5}$

$\sqrt{97 x} = 2*\sqrt{485}$

$\sqrt{97 x} = 2\sqrt{485}$

With other values of x, the given expression can not be simplified.

Hence:

$x = 20$

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3 years ago

2710÷759 what is the work

sattari [20]

Answer:

Step-by-step explanation:

About 3.5 . Divide.

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3 years ago

Find three numbers whose product is -64. You may use integers from -10 to 10. You may not use two numbers that have the same dis

Gnom [1K]

I doesn’t let me see the photo I’m very good at this but I just don’t understand your question

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3 years ago

I need to know what “x” in the angle measures

arlik [135]

X=[(x+60°)-20°]/2
x=(x+60°-20°)/2
x=(x+40°)/2
Solving for x: Multiplying both sides of the equation bu 2:
2x=2(x+40°)/2
2x=x+40°
Subtracting x both sides of the equation:
2x-x=x+40°-x
x=40°

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3 years ago

I need help with coming up with equation

Natali5045456 [20]

Let's call a child's ticket $c$ and an adult's ticket $a$ . From this, we can say:

$c + a = 116$ ,

since 116 tickets are sold in total.

Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus

$\$17000 \cdot (1 - \dfrac{1}{4}) = \$12750$ .

Given these values, we can say:

$17000a + 12750c = 1653250$ ,

since each adult ticket $a$ costs 17,000 and each child's ticket $c$ costs 12,750, and these costs sum to 1,653,250.

Now, we have two equations:

$17000a + 12750c = 1653250$

$c + a = 116$

Let's solve:

$17000a + 12750c = 1653250$

$a = 116 - c$

Find $a$ on its own, which will allow us to substitute it into the first equation

$17000(116 - c) + 12750a = 1653250$

Substitute in $116 - c$ for $a$

$1972000 - 17000c + 12750c = 1653250$

Apply the Distributive Property

$1972000 - 4250c = 1653250$

Combine like terms

$4250c = 318750$

Subtract 1972000 from both sides of the equation and multiply both sides by -1

$c = 75$

We have now found that 75 child's tickets were sold. Thus,

$75 + a = 116 \Rightarrow a = 116 - 75 = 41$ ,

41 adult tickets were sold as well.

In sum, 41 adult tickets were sold along with 75 child tickets.

6 0

3 years ago