All categories

3 years ago

ABCD shows the original location of a shape. FGHI shows the shape reflected across a

Mathematics

1 answer:

AnnyKZ [126]3 years ago

6 0

Answer:

A. 5.8

Step-by-step explanation:

if ABCD was reflected to FGHI means that A became F and B became G so AB became (was mapped to ) FG after reflection.

the length ( or distance) after reflection is is preserved ( does not change) so

if AB = 5.8 units then FG =5.8 units.

You might be interested in

Given f(x) = 5x-5 find f(-2)

lys-0071 [83]

Answer:

f(-2) = -15

Step-by-step explanation:

f(x) = 5x-5

Let x = -2

f(-2) = 5(-2) -5

= -10 -5

=-15

5 0

4 years ago

3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie

allsm [11]

Answer:

<em>The building is 61.5 m tall</em>

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

$\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 53^\circ=\frac{150-x}{h}$

$\displaystyle \tan 48^\circ=\frac{x}{h}$

From the last equation:

$x=h.\tan 48^\circ$

Substituting into the first equation:

$\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}$

Operating on the right side:

$\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ$

Rearranging:

$\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}$

Solving for h:

$\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}$

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0

3 years ago

Need help on this one too

KiRa [710]

I think it's none because that should be communitive and that's not there so.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B169" id="TexFormula1" title="\sqrt{169" alt="\sqrt{169" align="absmiddle" class="lat

PtichkaEL [24]

Answer:

Step-by-step explanation:

its me dababy ye ye

5 0

3 years ago

X+3/2 + (x-1) = 4/5

tester [92]

Answer:

x = $\frac{3}{20}$

Step-by-step explanation:

Given

x + $\frac{3}{2}$ + (x - 1) = $\frac{4}{5}$

Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions

10x + 15 + 10(x - 1) = 8

10x + 15 + 10x - 10 = 8

20x + 5 = 8 ( subtract 5 from both sides )

20x = 3 ( divide both sides by 20 )

x = $\frac{3}{20}$

3 0

3 years ago

Read 2 more answers