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Serjik [45]
3 years ago
15

Solve each equation. 1) X- 17 = -32

Mathematics
1 answer:
Sophie [7]3 years ago
5 0

Answer:

x = - 15

Step-by-step explanation:

x - 17 = -32

x - 17 + 17  = -32 + 17

x = - 15

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In the above bridge, line segment BD is the perpendicular bisector of line segment AC. For the bridge to be safe, Triangle ABD i
klasskru [66]

Answer: we can get the sequence of reasons with help of below explanation.

Step-by-step explanation:

Here It is given that, line segment BD is the perpendicular bisector of line segment AC. ( shown in below diagram)

By joining points B with A and B with C ( Construction)

We get two triangles ABD and CBD.

We have to prove that : Δ ABD ≅ Δ CBD

      Statement                                                  Reason

1. AD ≅ DC                                    1. By the property of segment bisector

2. ∠BDA ≅ ∠ BDC                        2. Right angles

3. BD ≅ BD                                   3. Reflexive

4.  Δ ABD ≅ Δ CBD                      4. By SAS postulate of congruence


8 0
3 years ago
Write 8.92x10^9 in standard notation.
Mandarinka [93]
8920000000.
Since the problem is asking for a positive 10^9 power, the final number with be greater than 8.92
7 0
3 years ago
The hexagon can be divided into six congruent and how many triangles?
maria [59]
Six is the answer because a hexagon has 6 similar sides.
4 0
3 years ago
Use the remainder theorem to find P(−2) for P(x) = 2x^4+2x^3−2x-4
Law Incorporation [45]

Answer:P(2) = 2(2)³ - 2(2)²- 3

= 16 - 8 - 3

= 5

Remainder or value of P(2) = 5

Quotient =   (2x³- 2x² - 3)/ x-2 = 2x² + 2x + 4

Step-by-step explanation:

7 0
3 years ago
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in the following ordinary annuity interest is compounded with each payment and the payment is made at the end of the compounding
RSB [31]

Answer: $59313.58

Step-by-step explanation:

Formula to find the accumulated amount of the annuity is given by :-

FV=A(\frac{(1+\frac{r}{m})^{mt})-1}{\frac{r}{m}})

, where A is the annuity payment deposit, r is annual interest rate , t is time in years and m is number of periods.

Given : m= $2000 ; m= 1   [∵ its annual] ;   t= 10 years ;   r= 0.06

Now substitute all these value in the formula , we get

FV=(4500)(\frac{(1+\frac{0.06}{1})^{1\times10})-1}{\frac{0.06}{1}})

⇒ FV=(4500)(\frac{(1.06)^{10})-1}{0.06})

⇒ FV=(4500)(\frac{0.79084769654}{0.06})

⇒ FV=(4500)(13.1807949423)

⇒ FV=59313.5772407\approx59313.58 \ \ \text{ [Rounded to the nearest cent]}

Hence, the accumulated amount of the annuity= $59313.58

8 0
3 years ago
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