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3 years ago

An angle measures 2° more than the measure of its supplementary angle. What is the measure of each angle?

Mathematics

1 answer:

Simora [160]3 years ago

6 0

Answer:

The angles are 91 and 89 degrees

Step-by-step explanation:

Supplementary angles add to 180 degrees and 91 is 2 more than 89

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A land owner is planning to build a fenced-in, rectangular patio behind his garage, using his garage as one of the "walls." He

Vitek1552 [10]

Answer:

Maximum area = 800 square feet.

Step-by-step explanation:

In the figure attached,

Rectangle is showing width = x ft and the side towards garage is not to be fenced.

Length of the fence has been given as 80 ft.

Therefore, length of the fence = Sum of all three sides of the rectangle to be fenced

80 = x + x + y

80 = 2x + y

y = (80 - 2x)

Now area of the rectangle A = xy

Or function that represents the area of the rectangle is,

A(x) = x(80 - 2x)

A(x) = 80x - 2x²

To find the maximum area we will take the derivative of the function with respect to x and equate it to zero.

$A'(x)=\frac{d}{dx}(80x-2x^{2})$

= 80 - 4x

A'(x) = 80 - 4x = 0

4x = 80

x = $\frac{80}{4}$

x = 20

Therefore, for x = 20 ft area of the rectangular patio will be maximum.

A(20) = 80×(20) - 2×(20)²

= 1600 - 800

= 800 square feet

Maximum area of the patio is 800 square feet.

7 0

4 years ago

An isosceles triangle has two congruent angles which each measure 35 what is the measure of the third angle in the triangle

Lemur [1.5K]

Answer:

110

Step-by-step explanation:

35+35=70 180-70=110

8 0

3 years ago

Given that 4x-5y = 21 Find x when y = -4. Give your answer as a fraction in its simplest form.

alexira [117]

Answer:

x = 1/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

4x - 5y = 21

y = -4

Step 2: Solve for x

Substitute in y: 4x - 5(-4) = 21
Multiply: 4x + 20 = 21
[Subtraction Property of Equality] Subtract 20 on both sides: 4x = 1
[Division Property of Equality] Divide 4 on both sides: x = 1/4

6 0

3 years ago

Read 2 more answers

if tyrone works 40 hours per week and has no other sources of income what is his total monthly cash inflow

Lerok [7]

$18 \times 40 = 720$

$720 \times 4 = 2880$

$2880 - 1800 = 1080$

~~

Answer : B

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

3 0

4 years ago

o quociente entre a soma de soma de dois numeros e um deles e igual a 3. O inverso do dobro da soma deles e igual a 1/6 quais sa

shepuryov [24]

For get the solution of this task, we must make the system of equations.First it: "The quotient between the sum of two numbers and one of them is equal to 3" Let's take two values: a and b.(a+b)/b=3 --- it's will be first equation in our system.
and "The inverse of double the sum of them and equal to 1/6"1/2(a+b)=1/6 it's will be second equation in our system.
Attention at parenthesis.
System(a+b)/b=31/2(a+b)=1/6
by the first equation:(a+b)/b=3a+b=3ba=2b --- we will use this equation for second equation in system
1/2(2b+b)=1/61/3b)=1/63b=6b=2 and a=2b, that's mean a=1.The answer is pair (1;2)

5 0

3 years ago