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3 years ago

What is the missing reason in the proof?

Mathematics

1 answer:

Sladkaya [172]3 years ago

3 0

Answer:

The correct option is;

SSS congruency theorem

Step-by-step explanation:

Given that opposite sides of a parallelogram are equal, whereby side AB is congruent to side CD and side BC is congruent to side DA and also that side AC is congruent to side CA, we have;

Triangle ABC with sides AB, BC, and AC is congruent to triangle CDA with corresponding sides CD, DA, and CA, by the Side-Side-Side (SSS) rule of congruency (two or more triangles that have all three sides of one triangle congruent to the three sides of the other triangle are congruent).

You might be interested in

Find the average rate of change between f(-7) and f(-1) in the function f(x)=x^2+2x -8

Viktor [21]

Solve the equation by replacing x with -7 and then -1.

Then subtract the two to find the difference and divide that by the difference between -7 and -1.

f(-7) = -7^2 + 2(-7) -8 = 49 -14 -8 = 27

f(-1) = -1^2 + 2(-1) -8 = 1 -2 - 8 = -9

Difference between 27 and -9 = -36

Difference between -1 and -7 = -6

Rate of change = -36 /-6 = 6

3 0

3 years ago

Use the image to answer the question.

Vladimir79 [104]

Answer:

i do not know what the image loos like but it should be D

Step-by-step explanation:

It depicts Spanish horses adapted for use by Native Americans.

5 0

3 years ago

Solve the following equation for a: -g + 3/4a = y

matrenka [14]

9514 1404 393

Answer:

a = (4/3)(y+g)

Step-by-step explanation:

Isolate 'a' term, then multiply by the reciprocal of its coefficient.

$-g+\dfrac{3}{4}a=y\qquad\text{given}\\\\\dfrac{3}{4}a=y+g\qquad\text{add $g$}\\\\\boxed{a=\dfrac{4(y+g)}{3}}\qquad\text{multiply by $4/3$}$

4 0

3 years ago

Help plz it is only one question

Akimi4 [234]

It would be 43.75% because

7÷16=0.4375
0.4375×100=43.75%

3 0

3 years ago

You wish to borrow $8000 for debt consolidation. The bank's interest rate for a personal loan is 7.2%. What is your monthly paym

Lisa [10]

<h3>The monthly payment is $242.44 for loan to paid off in 3 years.</h3>

Step-by-step explanation:

The amount borrowed = Principal = $8000

The rate of interest = 7.2%

Time (T) = 3 years

Now, Simple Interest = $\frac{P\times R \times T}{100}$

$\implies SI = \frac{8000 \times 7.2 \times 3}{100} = 1,728$

So, the total interest = $1728

Now, <u>Amount to be paid = Principal + Interest</u>

⇒ A = $8000 + $1728 = $8728

Also, 1 year = 12 months

⇒ 3 years = 3 x 12 months = 36 months

So, total amount to be paid in 36 months is $8728.

⇒The amount to be paid in 1 month is $(\frac{8728}{36} ) = 242.44$

Hence, the monthly payment is $242.44 if loan is to paid off in 3 years.

3 0

3 years ago