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Nookie1986 [14]
3 years ago
9

Suppose that m∠A = m∠D. Which other fact would guarantee that the triangles are SIMILAR?

Mathematics
2 answers:
zhenek [66]3 years ago
8 0
B) m∠C = m∠F
Because now m∠B = m∠E because of the 180 total rule, and if all 3 ∠s are = then they are similar
Anit [1.1K]3 years ago
8 0

Answer: B) m∠C = m∠F

Step-by-step explanation:

Given: In triangles ΔABC and Δ DEF

m∠A = m∠D

To prove both the triangles are similar, we need at-least one one information which is given in option B.

If m∠C = m∠F , then AA similarity criteria , ΔABC and Δ DEF  are similar.

If we choose A) then it will not follow SAS criteria of similarity because ∠A and ∠D are not included angles of AB, CB and DE, FE respectively.

SAS similarity criteria for similar triangles says that if two sides of a triangle are proportional to two sides of another triangle and their included angles are equal, then the triangles are said to be similar.

You might be interested in
What is the ratio 16 to 40 written as a fraction in lowest terms? plz help 50 points
Luda [366]

Answer:- \frac{2}{5}

Step-by-step explanation:

The given ration is 16 :40

In fraction, the above ratio can be written as : \frac{16}{40}

To write the above fraction in lowest terms, we need to divide the numerator and the denominator by the greatest common divisor.

Since, 16=2\times8\\40=5\times8, Hence, 8 is the greatest common divisor of 16 and 40.

Now, divide the numerator and denominator by 8, we get

\frac{16}{40}=\frac{2}{5}

3 0
3 years ago
Hi, the answer is K but can anyone show why
dlinn [17]

Let's do 51 and 52.

51. The contrapositive has the same truth value as the original statement. That's opposed to the converse, which may or may not be true independent of the original statement.

The contrapositive of IF P THEN Q is IF not Q THEN not P.  They're equivalent.  Here that's If the cat is not female then it is not tricolor.

Answer: C

52.  

(x^3)^{(4-b^2)}=1

x^{3(4-b^2)} = 1

For the statement to be true, the exponent must be zero:

3(4-b^2) = 0

b^2 = 4

b = \pm 2

Both positive 2 and negative 2 have a square of 4.

Answer: K

By the way, usually we assume 0^0=1 so the restriction that x \ne 0 isn't really necessary.  Think of the definition of a polynomial or the binomial expansion:

\displaystyle f(x)=\sum_{k=0}^n a_k x^k

\displaystyle(x+y)^n=\sum_{k=0}^n {n \choose k} x^{k}y^{n-k}

For these common equalities to work when x=0 we need to define 0^0=1


3 0
3 years ago
Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of thr
NNADVOKAT [17]
<span>3 – (n – 1) = 1/2(3n – 4)

</span>
4 0
3 years ago
Read 2 more answers
PLEASE HELP ANSWER THIS ASAP!!! :)
PilotLPTM [1.2K]

Answer:

C, 42 degrees

Step-by-step explanation:

Considering  angle BAD is 60 degrees, that makes angle BCD also 60 degrees. Since parallelograms have 360 degrees in total, we're still missing 240 degrees. Since angles BAD and BCD are congruent (equal), that means that angles ABC and ADC also have to be congruent. To find their angles, we do 240 divided by 2, which equals 120. Now that we know all of the angles, lets focus on angle ADC. Since angle 1 has been given to us, all we need to do is subtract 78 from 120 which turns out to be 42 degrees, which is the answer.

5 0
3 years ago
Which ones ARE in scientific notation?
Rina8888 [55]

Answer:

C

Step-by-step explanation:

Cause C met the rules of scientific notation which is:

  • (First digit of the number) followed by (the decimal point) and then (all the rest of digits of the number) times (10 to an appropriate power)
7 0
2 years ago
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