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pishuonlain [190]
3 years ago
14

Can someone please help me with this ​

Mathematics
1 answer:
ddd [48]3 years ago
4 0

59°

Explanation:

In a parallelogram, opposite angles are equal.

m∠PSR = m∠PQR

⇒ 7x° – 5° = 6x° + 13°

⇒ 7x° – 6x° = 13° + 5°

⇒ x° = 18°

Therefore, m∠PSR = 7(18°) – 5° = 121°

In a parallelogram, sum of the adjacent angles is 180°.

So, m∠QPS + m∠PSR = 180°

⇒ m∠QPS + 121° = 180°

⇒ m∠QPS = 180° – 121°

⇒ m∠QPS = 59°

Hence, m∠QPS must be 59° for PQRS to be a parallelogram.

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If the slope of line l is x, and the slope of line m is x+2, and l⊥ m, what is x?
salantis [7]

Answer:

The answer to your question is:  x = -1

Step-by-step explanation:

Data

slope of l = x

slope of m = x +2

they are ⊥

Process

If they are ⊥, then,     x + 2  = - 1/x

                                  x(x + 2) = -1

                                  x² + 2x = -1

                                  x² + 2x + 1  = 0

                                 (x + 1)² = 0

                                 x + 1 = 0

                                x = -1

6 0
3 years ago
Max has 5 red model cars. One third of his model cars are red. How many model cars does Max have?
Ber [7]
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1/3 of all=5
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15 total
6 0
3 years ago
Read 2 more answers
Show work what is the measures
noname [10]
Set it up 180=(7x+10)+ z because angle b is on the flat line and then solve for x (180-10, then 170/7) and you’ll get the value of x and from there you can put it in all
4 0
3 years ago
Find the LCD of the given rational equation: -3/x+2 + 5x/x-1 = x+2/x^2-3x+2
Natali [406]
Answer:

(x - 1)( x - 2) (x + 2) = x³ -x² -4x + 4.

Explanation:

1) Given equation:

    3             5x            x + 2
- ------- +  -------- =  ---------------
 x + 2        x - 1       x² - 3x + 2

2) So, the denominators are x + 2, x - 1, and x² - 3x + 2

3) The LCD is the product of the common and non common factors raised to the greatest power.

4) x + 2, and x - 1 are already prime factors

5) Factor x² - 3x + 2

x² - 3x + 2 = (x - 2)(x - 1)

6) Then, the factors are x + 2, x - 1, and x - 2, and the LCD is the product of them:
(x - 1)( x - 2) (x + 2)

7) If you expand the products (distributive property) you get:
x³ -x² -4x + 4.



5 0
3 years ago
Which of the following best defines an input​
zmey [24]

Answer:

Step-by-step explanation:

A number that goies in and later comes out as an 'output' the output is the result

4 0
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