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Jlenok [28]
3 years ago
14

Find the value of the expression (-101)+102+(-103)+104+...+(-199)+200.

Mathematics
1 answer:
Sladkaya [172]3 years ago
5 0

Examine the series in consecutive pairs.

-101 + 102 = 1

-103 + 104 = 1

-199 + 200 = 1

The second number of the pairs go from 102 to 200 so there are (200 -102) / 2 + 1 = 49 + 1 = 50 pairs

Answer = the value is 1 * 50 = 50

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In△XYZ , XY¯¯¯¯¯¯=7in , YZ¯¯¯¯¯=5in , and XZ¯¯¯¯¯=4in . This triangle is reflected across the x-axis to result in △X'Y'Z' . Whic
ki77a [65]

Answer:

B

Step-by-step explanation:

Reflection is a transformation that preserves lengths.

Triangle XYZ, with side lengths XY = 7 in, YZ = 5 in, XZ = 4 in, is reflected across the x-axis to result in △X'Y'Z'.

This means that corresponding sides have the same lengths:

  • XY = X'Y' = 7 in;
  • XZ = X'Z' = 4 in;
  • YZ = Y'Z' = 5 in.

Find the perimeters of both triangles:

P_{XYZ}=XY+XZ+YZ=7+4+5=16\ in\\ \\P_{X'Y'Z'}=X'Y'+X'Z'+Y'Z'=7+4+5=16\ in

Hence, only option B is true.

8 0
3 years ago
9. Giselle has a gift card for a local lawn and
kakasveta [241]

Answer:

solution-----

Here,

cost of rent per day=$35

cost of rent for all 4 days =$35×4

=140

4 0
2 years ago
Find the 14th term of the geometric sequence 2, 6, 18,
butalik [34]

The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...

If 2 is a_0, 6 is a_1, 18 is a_2, etc.

a_n=2*3^n

For the 14th term, which is a_13, the value is 2*3^13.

Using a calculator because I'm too lazy to calculate 3^13 sorry, we can get.

3188646

6 0
3 years ago
!!!!!!!please help!!!!!!!!
GuDViN [60]

Answer:

The first one is No. The second one I do not know unfortunately.

Step-by-step explanation:

I am in the middle of this lesson in my math class as well and I know that in order to make a triangle, you need the two smaller sides to add up to become larger than the biggest side. In the case of the first question, the two smaller sides, 6 and 3 equal 9, which is not bigger than the biggest side which is 10. I hope you can find the answer to the second one, but for now, the first one is No.

4 0
3 years ago
Which of the following algebraic expressions can be used to express the statement "three less than z squared?"
Citrus2011 [14]
"<span>z˄2 − 3" because x squared is z^2, and 3 less of it would mean to subtract it from 3</span>
6 0
3 years ago
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