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3 years ago

Please help!!! ASAP!!!! 50 pts!!!!!!!!!!

Mathematics

2 answers:

maw [93]3 years ago

8 0

its a < divided by cto the 3 power > which would make it negative 15 so the answer is -23

sleet_krkn [62]3 years ago

3 0

Answer:

This is an exact copy of the ∠A

Step-by-step explanation:

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Suppose that z=6^500. Express the following in terms of z.

Studentka2010 [4]

Answer:

1. z^2

2. 14z

Step-by-step explanation:

We know that (a^m)^n = a^(mn) = (a^n) ^m

We also know that (a^m)(a^n) = a^(m+n)

36 can be written as 6^2 and here 36^(500) can be written as (6^2)^500 which also can be written as (6^500)^2 and as already it is mentioned that 6^500 as z we can write the above as z^2

2. 8 x 6^500 = 8z

And we can also write 6^(501) as 6^(500+1) which is equivalent to 6(6^500) which is 6z.

From the above we can make sure that the question is the sum of the above which is 8z + 6z = 14z.

7 0

3 years ago

Rhombus JKLM is shown below. Find m∠KLM.

lianna [129]

Answer:

Option D

Step-by-step explanation:

Properties of a rhombus,

1). Diagonals of a rhombus bisect the opposite angles.

2). Sum of adjacent two angles of a rhombus is 180°.

By property (1),

Diagonal JL will bisect the angles ∠MJK and ∠KLM.

Therefore, m∠KLM = 2(5x + 3)°

Similarly, diagonal KM will bisect the angles ∠JKL and JML.

Therefore, m∠JKL = 2(9x - 11)°

By property (2),

2(9x - 11)° + 2(5x + 3)° = 180°

9x - 11 + 5x + 3 = 90

14x - 8 = 90

14x = 98

x = 7

Since, m∠KLM = 2(5x + 3)°

= 2(5×7 + 3)°

= 76°

Therefore, Option D will be the answer.

7 0

2 years ago

Carleen deposited $16,400 in a bank account with an annual interest rate of 3.9%. How much interest was earned in 8 years?

Nesterboy [21]

The amount on interest he earned is $5116.8

Step-by-step explanation:

Given,

Principal(P) = $16400

Rate of interest(R) = 3.9%

Time(T) = 8 years

To find the interest

Formula

Simple interest = $\frac{PRT}{100}$

Hence,

The interest =$ $\frac{16400X3.9X8}{100}$

= $5116.80

6 0

3 years ago

Read 2 more answers

When rolling a die, what is the probability of rolling a 1 or a 4 write your answer in a fraction?

Andrej [43]

Answer:

$1/3$

Step-by-step explanation:

There are 6 values on a die, and we want 2 values. The fraction now is $2/6$ . But, wait! We can simplify this fraction: $1/3$ .

Side note:

I understand if you wanted just the $2/6$ fraction and not simplified.

3 0

3 years ago

3. In the fig. AD = DC and AB = BC. Prove that ΔADB = ΔCDB

xxMikexx [17]

Answer:

The two column proof is presented as follows;

The given parameters are;

$\overline {AD}$ = $\overline {DC}$ and $\overline {AB}$ = $\overline {BC}$

Statement ${}$ Reason

$\overline {AD}$ = $\overline {DC}$ and $\overline {AB}$ = $\overline {BC}$ ${}$ Given

$\overline {BD}$ ≅ $\overline {BD}$ ${}$ Reflexive property

$\overline {BD}$ = $\overline {BD}$ ${}$ By the definition of congruency

ΔADB ≅ ΔCDB ${}$ By Side-Side-Side (SSS) rule of congruency

ΔADB = ΔCDB ${}$ By the definition of congruency

If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then both triangles are said to be congruent according to the SSS rule of congruency

Step-by-step explanation:

7 0

3 years ago