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lidiya [134]
3 years ago
5

Triangles ABC and DEF are similar. what is the length of side EF

Mathematics
2 answers:
Leto [7]3 years ago
8 0
The anwser is either 2.88 or 3, But others are saying it is 3.
borishaifa [10]3 years ago
5 0

Answer:

The length of the side EF is 3cm.

Step-by-step explanation:

As both triangles are similar, their corresponding sides are in proportion.

This means that:

\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}

\frac{3}{4.5}=\frac{2}{x}=\frac{5}{7.5}

This proportion is called the scale factor.

Knowing this, we can find the value of x

\frac{3}{4.5}=\frac{2}{x}

x=2 *(\frac{4.5}{3})=\frac{9}{3}=3cm

So, the lenght of side EF is 3cm.

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{(y=7x+6),(4x-3y=16):}
umka2103 [35]

Answer:

(−2, −8)

Step-by-step explanation:

Write the problem as a mathematical expression.

y = 7x + 6

4x − 3y = 16

Replace all occurrences of y in 4x − 3y = 16 with 7x + 6. 4x − 3 (7x + 6) = 16

y = 7x + 6

Simplify 4x − 3 (7x + 6).

−17x − 18 = 16

y = 7x + 6

Solve for x in the first equation.

Move all terms not containing x to the right side of the equation.

−17x = 34

y = 7x + 6

 Divide each term by −17 and simplify.

x = −2

y = 7x + 6

Replace all occurrences of x with −2 in each equation.

Replace all occurrences of x in y = 7x + 6 with −2. y = 7 (−2) + 6

x = −2

Simplify 7 (−2) + 6.

y = −8

x = −2

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−2, −8)

The result can be shown in multiple forms.

Point Form:

(−2, −8)

Equation Form:

x = −2, y = −8

4 0
2 years ago
Read 2 more answers
If 48X^2,64x^4 ,x 36x^2 are in proportion , find the value of x​
SCORPION-xisa [38]

Answer:

The value of x = 27

Step-by-step explanation:

Given:

48x² : 64x⁴ ::: x : 36x²

Find:

The value of x

Computation:

(a)(d) = (b)(c)

(48x²)(36x²) = (64x⁴)(x)

(1,728x⁴) = (64x⁵)

x = 27

The value of x = 27

7 0
2 years ago
I only need help with A.
Vlada [557]
15 x 20 and 10 x 30 hope this works
6 0
3 years ago
......i need help please..........​
makkiz [27]

Answer:

Step-by-step explanation:

So, TML = 104, right?

Now, we know that TMV + LMV is 104.

We also know that TMV is 60.

Sooooo

LMV is simply 104 - 60 = 54

LMV = 54 :)

5 0
3 years ago
Read 2 more answers
For each part of this problem, show all your work and write a probability statement.
AlladinOne [14]

Answer:

Follows are the answer to the given point.

Step-by-step explanation:

In point 1:

\to P( \text{number of response}) = \frac{192}{338} \\

                                        = \frac{96}{169}\\\\= 0.56

In point 2:

\to P| \text{(Zoloft and fill response)}| = \frac{27}{338}

                                                 = 0.079

In point 3:

\to P(\frac{\text{ full or partial}}{\text{St. John's Wort}}) = \frac{\frac{43}{338}}{\frac{113}{338}}

                                = \frac{43}{338} \times \frac{338} {113}\\\\= \frac{43}{113}\\\\= 0.38

In point 4:

\to P(\frac{\text{Placebo}}{\text{full or response}}) = P(\frac{(\text{Placebo} \cap \text{full or response})} {\text{p(full response)}})

                               = \frac{\frac{79}{338}}{ 1- \frac{91}{338}} \\\\ = \frac{\frac{79}{338}}{  \frac{338-91}{338}} \\\\  = \frac{\frac{79}{338}}{\frac{247}{338}} \\\\  = \frac{79}{338} \times \frac {338}{247} \\\\= \frac{79}{274} \\\\ = 0.28

4 0
3 years ago
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