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makvit [3.9K]
3 years ago
10

Can somebody help me asap.

Mathematics
1 answer:
ehidna [41]3 years ago
7 0

Answer:

Step-by-step explanation:

1) m∠1 +m∠2 + m∠3 = m∠LAM (Angle addition postulate)

2) m∠1 + m∠2 + m∠3 = 180 (def. of straight angle)

3) y║z (Given)

4) ∠1 ≅ ∠5 (alternate interior angles theorem)

5) ∠3 ≅ ∠6 (alternate interior angles theorem)

6) Since m∠1 + m∠2 + m∠3 = 180

m∠5 + m∠2 + m∠6 = 180

Hence proved.

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Use completing the square to solve for x in the equation (x minus 12) (x + 4) = 9. x = –1 or 15 x = 1 or 7 x = 4 plus-or-minus S
Scrat [10]

Answer:

x = 4 ± \sqrt{73}

Step-by-step explanation:

Given

(x - 12)(x + 4) = 9 ← expand the left side using FOIL

x² - 8x - 48 = 9 ( ad 48 to both sides )

x² - 8x = 57

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 57 + 16

(x - 4)² = 73 ( take the square root of both sides )

x - 4 = ± \sqrt{73} ( add 4 to both sides )

x = 4 ± \sqrt{73}

4 0
3 years ago
Read 2 more answers
Louie is trying to find a rectangular canvas for his art project. Its height
Maru [420]

The length of the diagonal of the canvas is approximately 27 degrees.

The height of the rectangular canvas must reach 18 inches. It must form a 48 degrees angle with the diagonal at the top of the canvas.

<h3>Length of the diagonal Canvas</h3>

Therefore, the length of the diagonal can be found as follows:

Using trigonometric ratio,

  • cos ∅ = adjacent / hypotenuse

where

∅ = 48°

adjacent side = Height of the rectangle = 18 inches

hypotenuse = Length of the diagonal

Therefore,

cos 48° = 18 / h

cross multiply

h = 18 / cos 48°

h = 18 / 0.66913060635

h = 26.9005778976

length of the diagonal ≈ 27 inches

learn more on rectangle here: brainly.com/question/26099609?referrer=searchResults

8 0
2 years ago
Rewrite y^2(9y^2+4y-9) in standard form
Margaret [11]
Y²(9y² + 4y - 9)

Simplify.

(y² · 9y²) + (y² · 4y) + (y² · -9)

Simplify.

9y⁴ + 4y³ - 9y²

~Hope I helped!~


8 0
3 years ago
345 in standard form
steposvetlana [31]
345 in Standard Form is 3.45 x 10^2

This is because when in standard form the decimal should move to the right 2 times.
5 0
3 years ago
-7b - 4(b + 7) = -3b - 4(b - 2)
Irina-Kira [14]

Answer:

b= -9

( I hope this was helpful) >;D

5 0
2 years ago
Read 2 more answers
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