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Sveta_85 [38]
2 years ago
9

GEOMETRY PROOFS!

Mathematics
1 answer:
NeX [460]2 years ago
6 0

From the given figure ,

RECA is a quadrilateral

RC divides it into two parts

From the triangles , ∆REC and ∆RAC

RE = RA (Given)

angle CRE = angle CRA (Given)

RC = RC (Common side)

Therefore, ∆REC is Congruent to ∆RAC

∆REC =~ ∆RAC by SAS Property

⇛CE = CA (Congruent parts in a congruent triangles)

Hence , Proved

<em>Additional comment:-</em>

SAS property:-

"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)

<u>also read similar questions</u>: Complete this proof. Given: EC AC, DB AC, ∠A = ∠F Prove: ΔMDF ∼ ΔNCA..

brainly.com/question/16250124?referrer

Consider the proof. Given: Segment AB is parallel to line DE. Prove: AD/DC = BE/EC What is the missing statement in Step 5? A.) AC = BC B.) AC/DC = BC/EC C.) AD...

brainly.com/question/11763540?referrer

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A four-door sedan costs$35000 with a residual value of $2000. Its service life is five years. Using the declining balance method
larisa [96]

Answer:

At the end of the 2 year, the book value of the truck is $12,600

Step-by-step explanation:

we know that

<u><em>Double declining balance method</em></u> is a form of an accelerated depreciation method in which the asset value is depreciated at twice the rate it is done in the straight-line method.

Step 1

Determine the straight-line depreciation rate

Divide the total cost by the number of years in the asset's useful life.

\frac{\$35,000}{5}=\$7,000

Step 2

Then, multiply that number by 2 and that is your Double-Declining Depreciation Rate

7,000(2)=\$14,000 -----> is the depreciation for Year 1

Step 3

At the end of the first year, the book value of the truck is

\$35,000-\$14,000=\$21,000

Step 4

For Year 2, we will apply the same formula to the book value of the truck by the end of Year 1

\frac{\$21,000}{5}=\$4,200

4,200(2)=\$8,400 -----> is the depreciation for Year 2

therefore

At the end of the 2 year, the book value of the truck is

\$21,000-\$8,400=\$12,600

3 0
3 years ago
The product of two consecutive positive integers is 1 more than their sum. find the integers.
KengaRu [80]
2 consecutive positive integers....x and x + 1
" the product " means multiply and " the sum " means add

x(x + 1) = x + (x + 1) + 1
x^2 + x = 2x + 2
x^2 - 2x + x - 2 = 0
x^2 - x - 2 = 0
(x + 1)(x - 2) = 0

x + 1 = 0
x = -1......not this one because it is negative

x - 2 = 0
x = 2

x + 1 = 2 + 1 = 3

so ur numbers are : 2 and 3 <==
6 0
3 years ago
10. What simple interest rate is needed for $15,000 to double in 8 years? Round to the nearest tenth.​
Mrrafil [7]

Answer:

The simples interest rate needed is 12.5%

Step-by-step explanation:

Explanation is in the attachments.

Hope this helps! :)

7 0
3 years ago
30 Pts
Alona [7]

How to find the percent of change between numbers


First: work out the difference (increase) between the two numbers you are comparing.


Increase = New Number - Original Number


Then:  divide the increase by the original number and multiply the answer by 100.


% increase = Increase ÷ Original Number × 100.


If your answer is a negative number, then this is a percentage decrease.


To calculate percentage decrease:

First: work out the difference (decrease) between the two numbers you are comparing.


Decrease = Original Number - New Number


Then: divide the decrease by the original number and multiply the answer by 100.\


% Decrease = Decrease ÷ Original Number × 100


If your answer is a negative number then this is a percentage increase.


If you wish to calculate the percentage increase or decrease of several numbers then we recommend using the first formula. Positive values indicate a percentage increase whereas negative values indicate percentage decrease.

The answer is 24.22%


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8 0
3 years ago
Three dumpsters are delivering sand to a golf course
timofeeve [1]

Answer:

10,000 tons of sand is being delivered.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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