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topjm [15]
2 years ago
14

Plz and try to find U ​

Mathematics
2 answers:
Mars2501 [29]2 years ago
7 0

Answer:

u = 6

Step-by-step explanation:

We can use a ratio to solve

3           5

----- = ---------

u             10

Using cross products

3*10 = 5u

30 = 5u

Divide by 5

30/5 = 5u/5

6 = u

PilotLPTM [1.2K]2 years ago
6 0

Answer: u=6m

Step-by-step explanation:

The 2 triangles, LKO and NMO are similar by AAA congruence. Therefore, we can use ratios to find u.

\frac{5}{10}=\frac{3}{u}

Notice how the 5 and 10 are each inbetween the double and single angle congruence indicators in the image. u and 3 are also both in between the right angle and double line indicator.

When you cross multiply, you get 5u=30, and after simplifying you get u=6 m

Another way you could have done this is by finding the scale factor.

The scale factor between corresponding sides in the 2 triangles is 2. (5 x 2 = 10).

When you multiply 3 by 2, you also get 6 m.

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3 years ago
Solve the system of equations by graphing: 2x + 3y = 2 6x + 18y = 9
cluponka [151]
The answer is  A: x=1/2 , y= 1/3

Solve the following system:
{2 x + 3 y = 2 | (equation 1)
{6 x + 18 y = 9 | (equation 2)

Swap equation 1 with equation 2:
{6 x + 18 y = 9 | (equation 1)
{2 x + 3 y = 2 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:
{6 x + 18 y = 9 | (equation 1)
{0 x - 3 y = -1 | (equation 2)

Divide equation 1 by 3:
{2 x + 6 y = 3 | (equation 1)
{0 x - 3 y = -1 | (equation 2)

Multiply equation 2 by -1:
{2 x + 6 y = 3 | (equation 1)
{0 x+3 y = 1 | (equation 2)

Divide equation 2 by 3:
{2 x + 6 y = 3 | (equation 1)
{0 x+y = 1/3 | (equation 2)

Subtract 6 × (equation 2) from equation 1:
{2 x+0 y = 1 | (equation 1)
v0 x+y = 1/3 | (equation 2)

Divide equation 1 by 2:
{x+0 y = 1/2 | (equation 1)
v0 x+y = 1/3 | (equation 2)

Collect results:
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2 years ago
What is the volume of the following rectangular prism?<br> 21/2 units <br> 8/3 units
xeze [42]

Answer:

28 units³

Step-by-step explanation:

The volume (V) of the prism is calculated as

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= \frac{7}{1} × \frac{4}{1} = 7 × 4 = 28 units³

5 0
3 years ago
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