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3 years ago

Help please i need this done by tmr !

Mathematics

1 answer:

Nataly [62]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

5x + 7 + 4x + 2 + 90 = 180 , that is

9x + 99 = 180 ( subtract 99 from both sides )

9x = 81 ( divide both sides by 9 )

x = 9

Then

∠ ACB = 4x + 2 = 4(9) + 2 = 36 + 2 = 38°

∠ BAC = 5x + 7 = 5(9) + 7 = 45 + 7 = 52°

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Since the triangles are congruent then corresponding angles are congruent , so

∠ B = ∠ E

6x + 10 = 70 ( subtract 10 from both sides )

6x = 60 ( divide both sides by 6 )

x = 10

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Solve the quadratic equation 4x2 − 121 = 0. Verify your answer using a difference-of-squares factoring method.

Alenkasestr [34]

Answer:

Option d) is correct

That is x equals plus or minus start fraction 11 over two end fraction

Step-by-step explanation:

Given quadratic equation is $4x^2-121=0$

To write the given quadratic equation by using a difference-of-squares factoring method:

$4x^2-121=0$

The above equation can be written as

$4x^2-11^2=0$

$(2x)^2-11^2=0$

The above equation is in the form of difference-of-squares

Therefore the given quadratic equation can be written in the form of difference-of-squares

by factoring method is $(2x)^2-11^2=0$

$(2x+11)(2x-11)=0$ (which is in the form $a^2-b^2=(a+b)(a-b)$ )

2x+11=0 or 2x-11=0

$x=\frac{-11}{2}$ or $2x=11$

$x=\frac{-11}{2}$ or $x=\frac{11}{2}$

$x=\pm \frac{11}{2}$

Therefore option d) is correct

That is x equals plus or minus start fraction 11 over two end fraction

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3 years ago

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SOVA2 [1]

Answer:

18%

Step-by-step explanation:

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Hope this helps

Have a great day/night

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zimovet [89]

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so the inequality becomes
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