-77.4=9a<br> I need to solve for a. Can someone help me?

Explain one way to verify that the corresponding angles of the two triangles are congruent.

Burka [1]

Answer:

C.Use the distance formula to prove that all corresponding sides of the triangles have same lengths.Therefore, the two triangles are congruent by SSS.Then , corresponding angles of the triangles are congruent by CPCTC.

Step-by-step explanation:

We have to explain one way through which we can verify that the corresponding angles of the two triangles are congruent.

A. Use the slope formula to prove that the slopes of corresponding sides are opposite reciprocals . Therefore, the corresponding angles of the triangles are congruent.

In this option we are given that by slopes formula the slopes of corresponding sides are opposite reciprocals .It means sides are perpendicular but not give any information about congruency of two triangles through which we can say corresponding angles of two triangles are congruent.Hence, it is false.

B.Use the distance formula to prove that two corresponding sides of the triangles have same lengths. Therefore, corresponding angles of the triangles are congruent by CPCTC.

In this option we are given information about only two corresponding sides of two triangles . It is not sufficient to prove that corresponding angles of two triangles are congruent.Hence, it is false.

C.Use the distance formula to prove that all corresponding sides of the triangles have same lengths.Therefore,the two triangles are congruent by SSS. Then, corresponding angles of the triangles are congruent by CPCTC.

In this option we have complete information through which we can verify that corresponding angles of two triangles are congruent.Hence, it is correct.

D.Use the distance formula to prove that two corresponding sides of the triangles have same lengths.Therefore, the two triangles are congruent by SAS.Then, all corresponding angles of the triangles are congruent.

In this option we have no complete information through which we can two triangles are congruent by SAS. Therefore, In this option explaination are not given properly.Hence , it is false.

3 0

3 years ago

True or false? A theorem is a statement that can be easily proved using a corollary

lukranit [14]

The given statement "A theorem is a statement that can be easily proved using a corollary" is false.

Answer: False

<u>Step-by-step explanation:</u>

A statement that would be proven on the basis of postulates and before proven theorem is called Theorems. "Corollary", a theorem that should come from a previous theorems (part of another statement). Contrary to the definitions, this may be reversible or irreversible if they are presented in the form "if - then."

Example for theorem: The measured angles of a triangle added to 180 degree.

The theoretical aspects of geometry consists of definitions, theorems, and postulates. Basically, these are elements of geometric proof.

5 0

3 years ago

Unit 3 - Task 3 - (10 points)

Nuetrik [128]

The 50th term in the sequence is 199

Arithmetic sequence

The nth term of an arithmetic sequence is expressed as:

Tn = a+ (n - 1)d

where:

a is the first term
n is the number of terms
d is the common difference

The sequence formed by the amount of Whatchamacallits produced as;

3, 7, 11, 15...

a = 3

d = 11-7 = 7-3 = 4

Substitute

Tn = 3 + (n-1) * 4
Tn = 3 + 4n -4

Tn = 4n - 1

Hence the explicit formula that models the production for the nth term of the sequence is Tn = 4n - 1

If n = 50

T50 = 4(50) - 1

T50 = 199

Hence the 50th term in the sequence is 199

Learn more on sequence here; brainly.com/question/6561461

5 0

2 years ago

Jeffery bought 203 sheets of stickers. Each sheet has a dozen stickers. He gave away 907 stickers to his family on valentines da

fomenos

Jeffrey has 1529 stickers remaining

<h3>Further Explanation</h3>

From the problem above we know that

Jeffery bought 203 sheet of stickers

Each sticker has a dozen stickers or equal to 12 pcs stickers

He gave away 907 stickers

How many stickers does Jeffery have now?

<u>Step by step explanation</u>

First, we need to calculate the total stickers that Jeffery has, we are going to use the area model methods (see the attachment)

$=\boxed {203 \times12\ }\\ =\boxed {(200+3) \times(10+2)\ }\\ =\boxed {(200 \times10)+(200 \times2) + (3 \times10)+(3 \times2)\ }\\ =\boxed {2000+400+30+6\ }\\ =\boxed {2436\ }$

Total stickers that Jeffery has is 2436 pcs of stickers, he gave away 907. Total remaining stickers is

$=\boxed {2436-907\ }\\ =\boxed {1529\ }$

or

2436

1529

Now, Jeffery has 1529 pcs of stickers.

<h3>Learn more</h3>

Total spend on equipments brainly.com/question/11593405

Total cost for an office space brainly.com/question/7357576

Standard algorithm model brainly.com/question/1150215

Keywords: multiplication, standard algorithm, area model, three digits multiplication, big number multiplication, additional, subtraction, math expression, substraction of three digits numbers

3 0

4 years ago

Read 2 more answers

Is this a function? {(10, 9), (-2, -16), (-6, 7), (5, 8), (8, 16). (–11, 9)}

Arturiano [62]

Answer:

No, i dont think so, going off of second hand knowledge though :1

Step-by-step explanation:

3 0

3 years ago

-77.4=9a I need to solve for a. Can someone help me?