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bija089 [108]
1 year ago
14

Parallelogram PQRS with PS = -1 + 4x and QR = 3x + 3. What is the length of QR?

Mathematics
1 answer:
Nastasia [14]1 year ago
6 0

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

PQRS

PS = -1 + 4x

QR = 3x + 3

QR = ?

Step 02:

PS = QR

-1 + 4x = 3x + 3

4x - 3x = 3 + 1

x = 4

QR = 3(4) + 3

= 12 + 3

= 15

The answer is:

QR = 15

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Y=x+4 what is the slope and y-int
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Answer:

m=1 b=4

Step-by-step explanation:

slope: y=mx+b   m=1

interception: b=4

6 0
3 years ago
Two triangles are similar. The perimeter of the smaller one is 16. The ratio of the corresponding sides is 2:5. The sides of the
Eddi Din [679]

Answer:

Perimeter of larger triangle is 40.

Step-by-step explanation:

Given:

Perimeter of smaller circle = 16

Ratio of corresponding side = 2:5

We need to find the perimeter of the larger triangle.

Solution:

Let the perimeter of the larger triangle be 'x'.

Therefore by theorem which states that;

" When a triangle have scale factor a:b then the ratio of the perimeters is a:b".

Here Ratio is 2:5, so we can say by theorem, Ratio of perimeters is 2:5

framing in equation form we get;

\frac{\textrm{Perimeter of smaller triangle}}{\textrm{Perimeter of Larger triangle}}=\frac{2}{5}

Substituting the values we get;

\frac{16}{x}=\frac{2}{5}

By Cross multiplication we get;

16\times 5=2x\\\\80=2x

Dividing both side by 2 we get;

\frac{80}{2}=\frac{2x}{2}\\\\x=40

Hence Perimeter of larger triangle is 40.

7 0
3 years ago
Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of -
Law Incorporation [45]

Answer: Zack won. If you compare the decimal equivalents of their scores, -3.666 < -3.625


Step-by-step explanation:

Given: Vanessa and Zack are playing a game where the player with the lower score wins.

Score of Vanessa=-3\frac{5}{8}=-(\frac{29}{8})=-3.625

Score of Zack = -3\frac{2}{3}=-(\frac{11}{3})=-3.666

We can see -3.666

⇒ Zack has the lower score .

Hence, Zack won. If you compare the decimal equivalents of their scores, -3.666 < -3.625.


4 0
3 years ago
Read 2 more answers
The hypotenuse of a right triangle is 25 feet long The height of the right triangle is shrinking at a rate of 1 ft/week. What is
Lesechka [4]

9514 1404 393

Answer:

  increasing 7/24 ft per week

Step-by-step explanation:

An expression for the length of the base can be written from the Pythagorean theorem relation between the sides of the triangle.

If the height is 7-x, where x is the number of weeks after the height is 7 feet, then the base length is ...

  b = √(25^2 -(7-x)^2) = √(625 -(49 -14x +x^2)) = √(-x^2 +14x +576)

Then the rate of change of b with respect to x is ...

  b' = (-2x +14)/(2√(-x^2 +14x +576))

When x=0, the rate of change of the base is ...

  b' = 14/(2√576) = 7/24

The base is increasing 7/24 ft per week when the height is 7 ft.

8 0
2 years ago
A rectangle is 3 units wide and 4 units long. How long is its diagonal
nirvana33 [79]
If x is length of the diagonal then 

x^2 = 3^2 + 4^2  = 25

x = sqrt25 =  5

Diagonal is 5 units long
7 0
3 years ago
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