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2 years ago

What is a congruent triangle

1 answer:

4 0

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there

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If the length of a rectangle is 5 m more than its width find the values of length and width if the area of a rectangle is 500 m²

astra-53 [7]

Answer:

Length of the rectangle =25

width of the rectangle = 20

Step-by-step explanation:

Step(i):-

Let 'x' be the width of the rectangle

Given that the length of a rectangle is 5 m more than its width

Given that Area of the rectangle = 500m²

length of a rectangle = x +5

width of a rectangle = x

Step(ii):-

Area of the rectangle = length × width

500 = x ( x+5)

x² + 5 x = 500

⇒ x² + 5 x - 500 =0

⇒ x² +25x - 20 x - 500 =0

⇒ x( x+25) -20(x+25) =0

⇒ (x-20)(x+25) =0

⇒ x =20 and x=-25

we can choose x =20

Step(iii):-

Length of the rectangle = x +5 = 20 +5 =25

width of the rectangle = 20

Final answer:-

Length of the rectangle =25

width of the rectangle = 20

3 0

2 years ago

CHCK Farms raises hens and roosters. They have enough space to raise at most 300 birds per year. Each hen eats 80 pounds of food

svp [43]

Answer:

The number of hens is 100 and the number of roosters is 200.

Step-by-step explanation:

Let the number of hens be x and the number of roosters be y

then the total number of hens and roosters, is 300

so,

$x+y \leq 300$ ----------------------------(1)

Also the hen eats 80 pounds of food per year and roosters eats 60 pounds of food per year,

$80x+60y \leq 20000$ ----------------(2)

To solve the equations , multilpy eq(1) by 80

$80x+80y \leq 24000$ ------------------(3)

Subracting (2) from (3)

$20y \leq 4000$

$y \leq 200$

substituting y in eq(1) we get

$x+200 \leq 300$

$x \leq 300-200$

$x \leq 100$

7 0

3 years ago

What is the square root of 244?

adell [148]

The square root of 224 is: 14.9666295471

8 0

3 years ago

Find the product? (n - 4)(3n+7)

vampirchik [111]

Answer:

3n^2 - 5n - 28

Step-by-step explanation:

(n - 4)(3n + 7)

3n^2 + 7n - 12n - 28

3n^2 - 5n - 28

hope this hepls!!!

6 0

2 years ago

Read 2 more answers

Solve the equation 6(2x+4)^2=(2x+4)+2 a x=-5/3 or -9/4

9966 [12]

Answer:

x=5/3

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers