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trasher [3.6K]
2 years ago
9

1.What is the value of log3 729?

Mathematics
2 answers:
xxMikexx [17]2 years ago
3 0
I believe the value of log3 729 is 6

Vinil7 [7]2 years ago
3 0

Answer:

6

Step-by-step explanation:

Rewrite -  log 3  ( 729 )  =  x   in exponential form using the definition of a logarithm. If  x and b are positive and real numbers and b does not equal 1, then  log b  ( x )  =  y  is equivalent to   b^{y}    = x  .

3  x  =  729

Create equivalent expressions in the equation that all have equal bases.

3^{x} = {3^6}

Since the bases are the same, the two expressions are only equal if the exponents are also equal.

x  =  6

The variable x  is equal to  6

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If PQRS is a rhombus, which statements must be true? Check all that apply.
Alexxx [7]

Answer:

PT=RT

PR is prependicular to qs

PQ=QR

QPR is congruent to SPR

Step-by-step explanation:

6 0
2 years ago
Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?
skelet666 [1.2K]

Angles formed by the segment \overline{XZ} in the triangles ΔWXZ, and ΔXYZ, are equal and the given corresponding sides are proportional.

  • The option that best completes the proof showing that ΔWXZ ~ ΔXYZ is; <u>16 over 12 equals 12 over 9</u>

Reasons:

The proof showing that ΔWXZ ~ ΔXYZ is presented as follows;

Segment \overline{XZ} is perpendicular to segment \overline{WY}

∠WZX and ∠XZY are right angles by definition of \overline{XZ}  perpendicular to \overline{WY}

∠WZX in ΔWXZ = ∠XZY in ΔXYZ = 90° (definition)

\displaystyle \frac{WZ}{XZ} = \frac{16}{12} = \mathbf{ \frac{4}{3}}

\displaystyle \mathbf{ \frac{XZ}{ZY}}  = \frac{12}{9}  = \frac{4}{3}

Therefore;

  • \displaystyle \frac{16}{12} = \frac{12}{9}, which gives, \displaystyle \mathbf{\frac{WZ}{XZ} }= \frac{XZ}{ZY}

Given that two sides of ΔWXZ are proportional to two sides of ΔXYZ, and

that the included angles between the two sides, ∠WZX and ∠XZY are

congruent, the two triangles, ΔWXZ and ΔXYZ are similar by Side-Angle-

Side, SAS, similarity postulate.

The option that best completes the proof is therefore;

  • \displaystyle \frac{16}{12} = \frac{12}{9} which is; <u>16 over 12 equals 12 over 9</u>

Learn more about the SAS similarity postulate here:

brainly.com/question/11923416

4 0
2 years ago
Rinni was able to plant 15 flowers in five minutes. At this rate how many flowers because she plant in 45 minutes ANSWER RATS
PSYCHO15rus [73]

Answer:

The correct answer is 135

Step-by-step explanation:

This is because her rate is 15 flowers per 5 minutes, and there is 45 minutes. Therefore, 5 minutes occurs 9 times in 45 minutes and fifteen flowers times 9 groups of five minutes is 135.

3 0
2 years ago
Read 2 more answers
At Norman's Newsstand, 5 magazines cost $20.00. How many magazines could you buy with $44.00?
kobusy [5.1K]

Answer: 11 magazines

Step-by-step explanation:

1)     20/5 = $4 per magazine

2)     44/4 = 11 magazines

8 0
2 years ago
Read 2 more answers
M angle PQS= 3x; m angle SQR=5x-20 <br> Find x
Dahasolnce [82]

Let as consider the complete ques is : Ray QS bisects ∠PQR. Solve for x and find m∠PQR. m∠PQS = 3x ; m∠SQR = 5x-20.

Given:

Ray QS bisects ∠PQR.

m∠PQS = 3x

m∠SQR = 5x-20

To find:

The value of x and m∠PQR

Solution:

Ray QS bisects ∠PQR. So,

m\angle PQS=m\angle SQR

3x=5x-20

3x-5x=-20

-2x=-20

x=10

The value of x is 10.

Now,

m\angle PQR=m\angle PQS+m\angle SQR

m\angle PQR=3x+5x-20

m\angle PQR=8x-20

Put x=10,

m\angle PQR=8(10)-20

m\angle PQR=80-20

m\angle PQR=60

Therefore, the m∠PQR is 60 degrees.

5 0
3 years ago
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