Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
Part 1) Find the area
we know that
The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle
so

we have that the base and the height of triangle is equal to the radius of the circle

substitute

simplify
Factor 36

Part 2) Find the perimeter
The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle
The circumference of a quarter of circle is equal to

substitute the given values

Applying the Pythagorean Theorem
The hypotenuse of right triangle is equal to

simplify

Find the perimeter

simplify
Factor 6

Answer:
the figure could be a rhombus because the 2 lines of symmetry bisect the angles
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
yes that is true you are correct
Answer:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
y = 2 x + 7
Step-by-step explanation:
Let x represent the smaller number and y represent the larger number.
<h2><u /></h2><h2><u>Part 1</u></h2>
Four times a number added to 3 times a larger number is 31.
<u>It is translated as:</u>
<u>Then, solving for y:</u>
- 4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3
⇒ y= - 4/3x + 31/3
<u>Correct answer choice for this equation:</u>
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
<h2><u>
Part 2 </u></h2>
Seven subtracted from the larger number is equal to twice the smaller number.
<u>It is translated as:</u>
<u>Then, solving for y:</u>
<u>Correct answer choice for this equation:</u>
y = 2 x + 7