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3 years ago

Each angle of a regular octagon has a measure of ______ degrees.

Mathematics

2 answers:

Sholpan [36]3 years ago

7 0

Its 135 degrees hope this helps guys

marta [7]3 years ago

5 0

It is 135 degrees hope this helps

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Ron is planning to buy a condo that costs $85,000. At which mortgage lender will Ron get better deal? How much less will Ron pay

Andreyy89

Mortgage Lender A:

$85000 - 4500 = 80500$

$80500\times .03 = 2415$

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3 years ago

Define a simulation to represent correct answers on a true-or-false quiz. Use the simulation to find the probability of getting

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A steel cylinder with a moveable piston on top is filled with helium (He) gas. The force that the piston exerts on the gas is constant, but the volume inside the cylinder doubles, pushing the piston up.

Which of the following answers correctly states the cause for the change described in the scenario?

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3 years ago

Graph the piecewise function given below. i need help please

yawa3891 [41]

Answer:

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8 0

3 years ago

Read 2 more answers

Need an answe asap!

Semenov [28]

Answer:

1. x = 54, y = 114,

missing angles => 66° and 114°

2. x = 42, y = 14,

Missing angles => 84°, 86°

3. x = 40, y = 50

Missing angles => 105°, 75°

Step-by-step explanation:

1. y° = 114° (corresponding angles are congruent)

(x + 12)° + y° = 180° (linear pair angles)

Substitute

x + 12 + 114 = 180

x + 126 = 180

Subtract 126 from each side

x = 180 - 126

x = 54

✔️Find the missing angles by plugging in the values of x and y in each case

(x + 12)° = 54 + 12 = 66°

y = 114°

2. ✔️Find x:

(2x)° + 96° = 180° (consecutive interior angles are supplementary)

Subtract 96 from each side

2x = 180 - 96

2x = 84

x = 84/2

x = 42

✔️Find y:

(3y + 44)° + 94° = 180° (consecutive interior angles are supplementary)

3y + 44 + 94 = 180

3y + 138 = 180

3y = 180 - 138

3y = 42

y = 42/3

y = 14

✔️Missing angles:

(2x)°

Plug in the value of x

= 2(42) = 84°

(3y + 44)°

Plug in the value of y

3(14) + 44 = 86°

✔️Find x:

3x - 15 = 105 (corresponding angles are congruent)

3x = 105 + 15

3x = 120

x = 120/3

x = 40

✔️Find y:

(3x - 15)° + (y + 25)° = 180° (linear pair angles are supplementary)

Plug in the value of x to solve for y

3(40) - 15 + y + 25 = 180

120 - 15 + y + 25 = 180

Add like terms

130 + y = 180

y = 180 - 130

y = 50

✔️Missing angles:

(3x - 15)°

Plug in the value of x

3(40) - 15 = 105°

(y + 25)°

Plug in the value of y

50 + 25 = 75°

4 0

3 years ago

The area of the triangle below is 14.25 square feet. What is the length of the base?

elena55 [62]

Answer:

5.7 feet

Step-by-step explanation:

Given:

$\text{Height of triagle: 5 ft}$

Formula;

$\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}$

Substitute the height and the area in the formula;

$\implies\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}$

$\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5$

Use cross multiplication;

$\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5$

$\implies14.25 \times 2= \text{Base} \times 5$

Simplify the left hand side;

$\implies14.25 \times 2= \text{Base} \times 5$

$\implies28.5= \text{Base} \times 5$

Divide both sides of the equation by 5;

$\implies\dfrac{28.5}{5} = \dfrac{\text{Base} \times 5}{5}$

$\implies \text{Base} = \dfrac{28.5}{5} = 5.7 \ \text{ft}$

Therefore, the measure of the base is 5.7 feet.

3 0

3 years ago

Read 2 more answers