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3 years ago

7

If the trapezoid below is reflected across the x-axis, what are the coordinates of B'?

2 answers:

Grace [21]3 years ago

9 0

The x-coordinate remains the same as the x-coordinate of point B.
The y-coordinate becomes the additive inverse of the y-coordinate of point B.

Answer: B. (3, -8)

fenix001 [56]3 years ago

8 0

Answer:

B. (3,-8)

Step-by-step explanation:

We are given the trapezoid with point B having the co-ordinates (3,8).

Now, the trapezium is reflected across x-axis to form another trapezium.

Since, we have,

<em>Reflection across x-axis changes the co-ordinate (x,y) to (x,-y).</em>

So, we get,

The co-ordinates of B' are (3,-8).

Hence, option B is correct.

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2 less then 3 times a number is 9

Masteriza [31]

$\huge\boxed{\text{As an expression:}\ 3x-2=9}$

$\huge\boxed{\text{Solved for x:}\ x=\frac{11}{3}}$

Let's start with " $3$ times a number". We will use $x$ to represent the number. $3x$

" $2$ less than" is next. $-2$

Finally, "is $9$ ". $=9$

Put it all together to get an expression. $\boxed{3x-2=9}$

Now, let's solve for the unknown number.

Add $2$ on both sides of the equation. $3x=11$

Divide both sides of the equation by $3$ to isolate $x$ . $x=\boxed{\frac{11}{3}}$

5 0

3 years ago

Read 2 more answers

Allen traveled for 7 hours at a constant rate of 40 miles per hour. Anna traveled the same distance at a constant rate of 50 mil

TEA [102]

Here is the correct order of the step:

Identify: Anna's time is the unknown

Strategize : let x = Anna's time

Set up : 7(40) = x(50)

Solve: x = 5.6

Check: 7(40) = 5.6(50)

<h3>What is Anna's time?</h3>

The first step is to determine the distance Allen travelled:

Distance = average speed x time

40 x 7 = 280 miles

The second step is to determine the time it took Anna to travel 280 miles.

Time = distance / average speed

280 / 50 = 5.6 hours

To learn more about average speed, please check: brainly.com/question/21734785

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2 years ago

Madison and Anthony both make quilt squares, but they use different patterns.

TEA [102]

If somebody send links report them

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3 years ago

Sandra knows the Pythagorean identity sin 2 ⁡ θ + cos 2 ⁡ θ = 1 . If she is told that 0 ≤ θ ≤ π 2 and cos ⁡ θ = 5 12, what will

slavikrds [6]

Answer:

$\text{tan}(\theta)=\frac{\sqrt{119}}{5}$

Step-by-step explanation:

We have been given that Sandra knows the Pythagorean identity $\text{sin}^2(\theta)+\text{cos}^2(\theta)=1$ . She is told that $0\leq \theta\leq \frac{\pi}{2}$ and $\text{cos}(\theta)=\frac{5}{12}$ .

First of all, we will find value of sine theta using the given identity.

$\text{sin}^2(\theta)+\text{cos}^2(\theta)=1$

$\text{sin}^2(\theta)+(\frac{5}{12})^2=1$

$\text{sin}^2(\theta)+\frac{25}{144}=1$

$\text{sin}^2(\theta)+\frac{25}{144}-\frac{25}{144}=1-\frac{25}{144}$

$\text{sin}^2(\theta)=\frac{144-25}{144}$

$\text{sin}^2(\theta)=\frac{119}{144}$

$\text{sin}(\theta)=\sqrt{\frac{119}{144}}$

$\text{sin}(\theta)=\frac{\sqrt{119}}{12}$

$\text{tan}(\theta)=\frac{\text{sin}(\theta)}{\text{cos}(\theta)}$

$\text{tan}(\theta)=\frac{\frac{\sqrt{119}}{12}}{\frac{5}{12}}$

$\text{tan}(\theta)=\frac{\sqrt{119}*12}{5*12}=\frac{\sqrt{119}}{5}$

Therefore, $\text{tan}(\theta)=\frac{\sqrt{119}}{5}$ .

5 0

3 years ago

Find the value of x that makes A||B.<br> Z2 = 3x - 20 and 25 = x + 20<br> x= [ ? ]

Llana [10]

Answer:

<h3>x = 20</h3>

Step-by-step explanation:

∠2 = ∠5

3x - 20 = x + 20

3x - x = 20 + 20

2x = 40

x = 40/2

x = 20

8 0

3 years ago