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AnnZ [28]
3 years ago
13

How do i solve this​

Mathematics
1 answer:
Sophie [7]3 years ago
5 0

Step-by-step explanation:

You're given that ΔUVW is similar to ΔYZW.  The tricky part is identifying which sides in ΔUVW correspond to which sides in ΔYZW.

The triangles share point W, so visually rotate one triangle around W until the two triangles align.  That way, you can see that UW and ZW correspond to each other, and VW and YW correspond to each other.

Now you can find the scale:

VW / YW = 5/12

And you can write a proportion to find x:

UW / ZW = VW / YW

x / 64 = 5 / 12

x = 26 ⅔

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Angela invested $4000 in an account that earns 5% interest yearly (simple interest). She forgets about it for 12 years. What is
harina [27]

Answer:

$6400

Step-by-step explanation:

4000x.05=200× 12=2400+4000=$6400

4 0
2 years ago
I only need help with number 9 plz
Varvara68 [4.7K]

Answer:

<h2>Letter C</h2>

Step-by-step explanation:

If we look on the number line we see that there is a point on -3, another point on -1, 2, and 7.

These points tell us our answer, but the question states it doesn't have to be in any order.

As we look at answer A we see -3, 1, 2, and -7. That's incorrect since there is no positive 1 nor an -7.

As we look at answer B we see -3, 7, 1, and -2. That's incorrect since there is no positive 1, and not a -2.

As we look at answer D we see -2, 3, 1, and 7. That's incorrect since there is no positive 2, no positive 3, and no negative 1.

C has to be the correct answer since it's the only answer left and has the 4 numbers that are on the number line.

Therefore, the correct answer is C.

Best of Luck to you.

If you have any questions, feel free to comment below.

6 0
3 years ago
Can you help me with a question? What is the equation of the blue line?
Artist 52 [7]

Answer:

y = -x - 1

Step-by-step explanation:

y = mx + b

<u>slope (m):</u> Since the line is going downhill, the slope will be negative

slope = rise / run

slope = 1 / 1

slope = 1

m = -1

<u>y - intercept (b):</u> this when x = 0, the line is crossing the vertical line (y-axis)

b = -1

so y = mx + b is

b = -1, m = -1

y = (-1)x + (-1)

3 0
2 years ago
Read 2 more answers
Can someone please help me it’s urgent
Yuki888 [10]
I believe it is 4 my good sir
7 0
3 years ago
Read 2 more answers
ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (
harkovskaia [24]

By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. \mathbf{AE = 3.9 $ cm}\\\\

b. \mathbf{AB = 2.05 $ cm} \\\\

<em>See the image in the attachment for the referred diagram.</em>

<em />

  • The two triangles, triangle AEC and triangle BDC are similar triangles.
  • Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

<em>This implies that</em>:

  • AC/BC = EC/DC = AE/DB

<em><u>Given:</u></em>

EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm

<u>a. </u><u>Find the length of </u><u>AE</u><u>:</u>

EC/DC = AE/DB

  • Plug in the values

\frac{8.1}{5.4} = \frac{AE}{2.6}

  • Cross multiply

5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06

  • Divide both sides by 5.4

AE = \frac{21.06}{5.4} = 3.9 $ cm

<u>b. </u><u>Find the length of </u><u>AB:</u>

AB = AC - BC

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

  • Plug in the values

\frac{6.15}{BC} = \frac{8.1}{5.4}

  • Cross multiply

BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1

  • Thus:

AB = AC - BC

  • Substitute

AB = 6.15 - 4.1\\\\AB = 2.05 $ cm

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. \mathbf{AE = 3.9 $ cm}\\\\

b. \mathbf{AB = 2.05 $ cm} \\\\

Learn more here:

brainly.com/question/14327552

3 0
2 years ago
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