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3 years ago

‼️ PLEASEEE HELPPPP ‼️

Mathematics

2 answers:

V125BC [204]3 years ago

8 0

Answer: answer is in the photo

Step-by-step explanation:

mestny [16]3 years ago

8 0

Answer:

x=7

Angle = 102

Step-by-step explanation:

Both angles are congruent, meaning they have the same measure.

Set your formula up as

15x-5=13x+9

15x=13x+9+5

15x-13x=9+5

2x=14

x=14/2

x=7

Now plug in 7 for x

15x-3

15*7-3

105-3

102

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3 years ago

A The length of a rectangle is 4 m more

Lady bird [3.3K]

Given :

The length of a rectangle is 4m more than the width.
The area of the rectangle is 45m²

⠀

To Find :

The length and width of the rectangle.

⠀

Solution :

We know that,

$\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:$

So,

Let's assume the length of the rectangle as x and the width will be (x – 4).

⠀

Now, Substituting the given values in the formula :

$\qquad \sf \: { \dashrightarrow x \times (x - 4) = 45 }$

$\qquad \sf \: { \dashrightarrow {x}^{2} - 4x = 45 }$

$\qquad \sf \: { \dashrightarrow {x}^{2} - 4x - 45 = 0 }$

$\qquad \sf \: { \dashrightarrow {x}^{2} - 9x+ 5 x - 45 = 0 }$

$\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }$

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⠀

Since, The length can't be negative, so the length will be 9 which is positive.

⠀

$\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:$

$\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:$

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