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kaheart [24]
3 years ago
15

PLS SOMEONE HELP ME QUICKLY

Mathematics
1 answer:
AlekseyPX3 years ago
5 0

Given:

In a parallelogram PRTV, VQ\perp PR,VS\perp RT.

To prove:

\dfrac{PQ}{ST}=\dfrac{PV}{VT}

Solution:

It is given that VQ\perp PR,VS\perp RT, it means \angle PQV and \angle TSV are right angle triangles.

In triangle PQV and triangle TSV,

\angle PQV\cong \angle TSV         (Right angles)

\angle QPV\cong \angle STV         (Opposite angles of a parallelogram)

Two corresponding angles are congruent. So, by AA property of similarity, we get

\Delta PQV\sim \Delta TSV

We know that the corresponding parts of similar triangles are proportional. So,

\dfrac{PQ}{TS}=\dfrac{PV}{TV}

It can be rewritten as:

\dfrac{PQ}{ST}=\dfrac{PV}{VT}

Hence proved.

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Can someone do this plz??
Maksim231197 [3]

Answer:

x =  - 6

x = 12

x = 8

x =  - 21

x = 18

x =  - 2

x = 40

x =  - 3

x = -21

x = 2

x =  - 18

x =  - 7

x = 6

x = 10

x = 3

Step-by-step explanation:

1.

- 7x + 16 = 58

- 7x = 58 - 16

- 7x = 42

\frac{ - 7x}{ - 7}  =  \frac{42}{ - 7}

x =  \frac{ 42}{ - 7}

x =  - 6

2.

- 2x + 15 =  - 9

- 2x =  - 9 - 15

- 2x =  - 24

\frac{ - 2x}{ - 2}  =  \frac{ - 24}{ - 2}

x =  \frac{ - 24}{ - 2}

x = 12

3.

5x - 4 = 36

5x = 36 + 4

5x = 40

\frac{5x}{5}  =  \frac{40}{5}

x =  \frac{40}{5}

x = 8

4.

25 - 3x = 88

- 3x = 88 - 25

- 3x = 63

\frac{ - 3x}{ - 3}  =  \frac{63}{ - 3}

x =  \frac{63}{ - 3}

x =  - 21

5.

- 11 = 7 - x

7 - x =  - 11

- x =  - 11 - 7

- x =  - 18

\frac{ - x}{ - 1}  =  \frac{ - 18}{ - 1}

x =  \frac{ - 18}{ - 1}

x = 18

6.

65 + 15x = 35

15x = 35 - 65

15x =  - 30

\frac{15x}{15}  =  \frac{ - 30}{15}

x =  \frac{ - 30}{15}

x =  - 2

7.

\frac{1}{2} x - 18 = 2

\frac{1}{2} x = 2 + 18

\frac{1}{2} x = 20

\frac{1}{2} \times 2x = 20 \times 2

x = 40

8.

\frac{2}{3} x - 10 =  - 12

\frac{2}{3} x =  - 12 + 10

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

x =  - 2( \frac{3}{2} )

x =  - 3

9.

6 -  \frac{1}{3} x =  - 1

-  \frac{ 1}{3} x =  - 1  -  6

-  \frac{1}{3} x =  - 7

x =  - 7( -  \frac{3}{1} x)

x = 21

10.

4 - 9 x= -  14

-9x =  - 14 - 4

-9x =  - 18

\frac{-9x}{-9}  =  \frac{ - 18}{-9}

x =  \frac{ - 18}{-9}

x =   2

11.

11 - x = 29

- x = 29 - 11

- x = 18

\frac{ - x}{ - 1}  =  \frac{18}{ - 1}

x =  \frac{ 18}{ - 1}

x =  - 18

12.

- 9- 11 x=  68

- 11x = 68 + 9

- 11x = 77

\frac{ - 11x}{ - 11}  =  \frac{77}{ - 11}

x =  \frac{77}{ - 11}

x =  - 7

13.

45 +  \frac{5}{6} x = 50

\frac{5}{6} x = 50 - 45

\frac{5}{6} x = 5

x = 5( \frac{6}{5} )

x = 6

14.

- 5x + 17 =  - 33

- 5x =  - 33 - 17

- 5x =  - 50

\frac{ - 5x}{ - 5}  =  \frac{ - 50}{ - 5}

x =  \frac{ - 50}{ - 5}

x = 10

15.

95 =  - 4 + 33x

- 4 + 33x = 95

33x = 95 + 4

33x = 99

\frac{33x}{33}  =  \frac{99}{33}

x =  \frac{99}{33}

x = 3

3 0
3 years ago
Hallar la solución de las siguientes inecuaciones lineales, representar la solución en la recta numérica. 5x+ 1<6
tamaranim1 [39]

Answer:

3.141592685

thank me later

5 0
3 years ago
Read 2 more answers
Steve sold 36 fruit baskets for a school fundraiser. Evie sold 25% of the number of baskets that Steve sold. How many fruit bask
xeze [42]

Answer:

9 fruit baskets.

Step-by-step explanation:

Given:

Steve sold 36 fruit baskets for a school fundraiser.

Evie sold 25% of the number of baskets that Steve sold.

<u>Question asked:</u>

How many fruit baskets did Evie sell?

Solution:

<u>As given that Evie sold 25% of the number of baskets that Steve sold.</u>

Number of baskets sold by Evie = 25% of 36

                                                      =\frac{25}{100}\times36\\\\  =\frac{900}{100}\\ \\=9

Thus, 9 fruit baskets sold by Evie.

4 0
3 years ago
Jessica used 2/3 yard of fabric to make a scarf. Can she make 2 of these scarves with 1 3/4 yards of fabric, and why?
Alex Ar [27]

Option 1

Jessica can make 2 scarves

yes, because the quotient of 1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}

<u>Solution:</u>

Given, Jessica used \frac{2}{3} yard of fabric to make a scarf.

We have to find can she make 2 of these scarves with 1\frac{3}{4} yards of fabric, and why?

Now, let us find number of scarves that can be made from available scarf

\text { Number of scarves }=\frac{\text { avaiable scarf }}{\text { fabric required for } 1 \text { scarf }}

\begin{array}{l}{=\frac{1 \frac{3}{4}}{\frac{2}{3}}=1 \frac{3}{4} \times \frac{3}{2}} \\\\ {=\frac{4 \times 1+3}{4} \times \frac{3}{2}} \\\\ {=\frac{16+5}{8}=2 \frac{5}{8}}\end{array}

We know that,

2 \frac{5}{8}>2 so we can make 2 scarves.

Hence, yes, we can make 2 scarves because quotient of 1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}

So 1st option is correct

3 0
3 years ago
Which of the following mathematical expressions is written in standard form?
bearhunter [10]

Step-by-step explanation:

number2 the answer is a and

number 3 the answer is letter b

5 0
3 years ago
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