Answer:
The perimeter is 66.9 units
Step-by-step explanation:
See the attached figure with letters to better understand the problem
step 1
In the right triangle ABD
<em>Find the length side AD</em>
----> by TOA (opposite side divided by the adjacent side)

Find the length side BD
---> by SOH (opposite side divided by the hypotenuse)

step 2
In the right triangle CDE
Find the length side CE
--> by CAH (adjacent side divided by the hypotenuse)
we have

substitute

Find the length side DE
--> by TOA (opposite side divided by the adjacent side)

step 3
Find the perimeter of the figure
The perimeter is equal to

substitute the values

40 gold
5 gold:3 red = x gold:24 red
24 × 5= 120
120/3 = 40
Answer:
<h2>DA is equal to <u>
25</u> or BA</h2>
Step-by-step explanation:
ABC
ADC
- Since we know that line CA is equal to line CA because of <em>reflexive property</em>
- Angle BAC and DAC are equal because of <em>definition of an angle bisector</em>
- Angle ABC and ADC are equal because of <em>definition of an angle bisector</em>
- This will give us <em>ASA</em>, proving to us that all sides and angles are congruent <u>(this was already given to us)</u>
- So, if BA is 25, and we know that BA is congruent to DA, this tells us that DA is 25
Answer: "<span>
in²</span> " .
{that is: "
(2/15) in² . "}.
___________________________________________Explanation:___________________________________________The formula/equation for the Area of a rectangle: A = L * w ; in which: L = <span>
⅖ in ;
</span> w = ⅓ in;
___________________________Find the area; in a "fraction value" ;_______________________________ A = L * w ; → Substitute the given values for "L" (length) and "w" (width);
and solve for "A" (area) in the "form of a fraction:
__________________________________________________
A = (2/15) in * (1/3) in ;
→ A = [(2*1) / (5*3)] * in * in ;
______________________________________________________→ Answer: The area is: "
in² " .
{that is, "
(2/15) in² " .
}.
______________________________________________________