1. The measures of two angles are (5x + 24) and (9x - 17). What is the value of xif theseangles are congruent?

Answers

Answer 1
Answer:

Answer:

x = 41/4

Step-by-step explanation:

If the angles are congruent, then the equation are congruent.

Step 1: Set up equation

5x + 24 = 9x - 17

Step 2: Solve for x

  1. 24 = 4x - 17
  2. 41 = 4x
  3. x = 41/4

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An appliance is for sale at either (a) P15,999 cash or (b) on terms, P1,499 each month for the next 12 months.  Money is 9% compounded monthly.  Which is lower, the cash price or the present value of the installment terms? Explain.​

Answers

The cash price would be lower. A further explanation is below.

According to the question,

Interest rate per month,

r = (9 \ percent)/(12)

  = 0.75 (%)

hence,

The Present value of the monthly payment will be:

= PMT* \frac{{(1 + Interest \ rate)^(number \ of \ years) - 1}}{Interest \ rate}  

= 1499* ([(1 + 0.75 \ percent)^(12) - 1] )/(0.75 \ percent)  

= 18748.89

As we can see that the cash price is 15,999. Thus the above answer is right.

 

Learn more:

brainly.com/question/4187682

Answer:

Cash price

Step-by-step explanation:

The computation is shown below:

The Interest rate per month (r) = (9% ÷ 12) = 0.75%

Now Present value of the monthly payment is

= PMT × {[(1 + rate of interest)^number of years - 1] ÷ rate of interest}

= 1,499 × {[(1 + 0.75%)^12 - 1] ÷ 0.75%}

= 18,748.89

And the cash price is 15,999

So, the cash price would be lower

Which sentence describes why polygon MNOP is congruent to polygon JKLP?

Answers

The segment MN is equal in size to the segment JK, the segment NO is equal in size to the segment KL, the segment OP is equal in size to the segment LP.

How is 21\30 bigger then 2\3

Answers

To see how 2/3 is larger than 21/30, it helps to put them in terms of the same denominator. To do this, we can multiply 2/3 by 10/10, which gives us 20/30.

Now it is easy to see that 21/30 is indeed larger than 2/3, which is equal to 20/30.
3x10=30 
2x10=20, so 21 over 30 is a little bigger

Also

When you divide 21/30 you get 0.7 and when you divide 2/3 then you 0.66667 which shows that 21/30 is greater than 2/3 

67.935 in expanded form in fraction form after the decimal

Answers

Hello,

67.935=67+935/1000=67+187/200 = 67|187/200
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What is the simplest form of x^2+5x-6/x^2+9x+18?A: x+2/x+6
B: 1/3
C:x-1/x+3
D:-1/3

Answers

Answer:

C: (x-1)/(x+3)

Step-by-step explanation:

The simplest form of the expression below, can be found through factorization process.

(x^(2)+5x-6)/(x^(2)+9x+18)

We have two quadratic expression. To find their factor, we only need to apply some steps:

Factorizing x^(2)+5x-6=(x+a)(x-b)

We have to find to numbers a and b that multiplied result in 6, but subtracted result in 5. We can see that a = 6 and b=1 are the right numbers, because 6 times 1 equals 6, and 6 minus 1 equals 5.

Therefore, x^(2)+5x-6=(x+6)(x-1)

On the other expression, we applied the same process:

x^(2)+9x+18=(x+6)(x+3); because, 6(3)=18 and 6+3=9

Then, we replace these factors for each expression:

(x^(2)+5x-6)/(x^(2)+9x+18)

((x+6)(x-1))/((x+6)(x+3))

Eliminating similar factors, we have:

((x-1))/((x+3))

Which is the simples form.

the correct answer is c

To convert drams to grams, multiply the number of drams by which number?

Answers


"Dram" is a unit of volume, whereas "gram" is a unit of mass.
They can't be directly converted.  If they both refer to a sample
of some substance, then the conversion depends on the density
of the substance.  All we can say for sure by way of an answer is: 
To change 'drams' to 'grams', replace the 'd' with 'g'.