Angles L and M are supplementary. What is the sum of their measures? The sum of the measures of angles L and M is °.

Mathematics

1 answer:

kondaur [170]3 years ago

5 0

Answer:

180 degrees

Step-by-step explanation:

Supplementary means the 2 angles sum equals 180 degrees.

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08 and get one and two left in ten right em

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By decreasing each dimension by 1 unit, the area of a rectangle deceased from 40 square feet to 28 square feet. Find the percent

arsen [322]

Answer:

30%

Step-by-step explanation:

Initial area is 40 square feet

Final area is 28 square feet

Difference between the initial and final areas will be 40-28=12 square feet

Taking the initial area as the base area and expressing the area change in percentage then the percentage decrease will be equivalent to

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. Shanice is making a garden. The area of the garden is 24 ft2. Use the following shape and information to find the base (6−4) a

crimeas [40]

Answer:

The base and height of the garden are 4.60 ft and 5.60 ft.

Step-by-step explanation:

The area of the garden is, A = 24 ft².

The base height of the garden are:

base (b) = 6x - 4

height (h) = x + 3

Compute the value of x as follows:

$A=\frac{1}{2}\times b \times h\\\\24=\frac{1}{2}\times (6x-4) \times (x+3)\\\\48=6x^{2}+18x-4x-12\\\\6x^{2}+14x-60=0\\\\3x^{2}+7x-30=0\\$

The last equation is a quadratic equation.

Compute the roots of the quadratic equation as follows:

$x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\x = \frac{ -14 \pm \sqrt{14^2 - 4(3)(-30)}}{ 2(3) }\\x = \frac{ -14 \pm \sqrt{556}}{ 6 }\\x = \frac{ -14 }{ 6 } \pm \frac{2\sqrt{139}\, }{ 6 }\\x = -\frac{ 7}{ 3 } \pm \frac{ \sqrt{139}\, }{ 3 }\\x = 1.59661\\x\approx 1.60$