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Over [174]
3 years ago
5

In ΔTRS, m∠T = 20 and the m∠R = 20. Which statement is TRUE about the sides of the triangle?

Mathematics
1 answer:
Reika [66]3 years ago
4 0
RS and TS are congruent as they are the sides opposite the 20 degree angles.  That mean TR > TS so "A" is the only answer that is correct.
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A square cement parking lot is being converted to a nature park. Each side of the parking lot is 100 meters long. The plan is to
irina [24]

Answer:

A(t)=(100-8t)^{2}

Step-by-step explanation:

Let

t-----> the number of years

A-----> the area of the cement parking lot

we know that      

The function that represent this situation is

A(t)=(100-8t)^{2}

3 0
4 years ago
A pet store has 6 cats. Here are their weights (in pounds).
Kruka [31]

Answer:

13.1666666667 or 13.17

Step-by-step explanation:

The mean is the average of the numbers. So you should add 16, 12, 16, 8, 14, and 13. When you add all of these up, you get 79. Then, you divide 79 by the number of numbers there are. Since there are 6 cats, there are 6 numbers. 79 divided by 6 equals 13.1666666667. Now we round the number to the nearest tenth and we will get 13.17.

6 0
4 years ago
1+4=5 2+5=12 3+6=21 8+11=? puzzle answer
Over [174]
<span>The answer is 97. The first expression is 1+4=5. In the next expression, both numbers are increased by 1 while their sum is increased by 7: (1+1)+(4+1) = (5+7). 2+5=12. In the next expression, both numbers are increased by 1 again, but the sum is increased by the next odd number (which is 9): (2+1)+(5+1)=(12+9). 3+6=21. So, the series will look like this: 1+4=5. 2+5=12. 3+6=21.4+7=33. 5+8=46. 6+9=61. 7+10=78- 8+11=97.</span>
4 0
3 years ago
What is the sum of the series 3,---5,-13..........-229
Tpy6a [65]

ANSWER

S_{30}= - 3390

EXPLANATION

The given sequence is

3,-5,-13,.....-229.

The first term of this sequence is

a_1=3

There is a common difference of

d =  - 5 - 3 =  - 8

The last term of this sequence is -229.

The nth term of this sequence is given by:

a_n=a_1+d(n-1)

We use the last term to determine the number of terms in the sequence.

- 229 = 3 +  - 8(n - 1)

- 229  - 3=  - 8(n - 1)

- 232=  - 8(n - 1)

Divide through by -8;

29= (n - 1)

n = 30

Hence there are thirty terms in the sequence.

The sum of the first n terms is given by:

S_n= \frac{n}{2} ( a_{1} + l)

The sum of the first 30 terms is given by:

S_{30}= \frac{30}{2} ( 3 +  - 229)

S_{30}=15(  - 226)

S_{30}= - 3390

4 0
3 years ago
Find the coordinates of d if e (-6,4) Is the midpoint of df and f has coordinates (-5,-3)
Oksanka [162]

Answer:

Step-by-step explanation:

Let the coordinates of d be (x,y)

The midpoint of (x,y) and (-5,-3) is equal to ((-5+x)/2, (-3+y)/2)

this should be equal to the coordinates of e, (-6,4)

we have (-5/2+x/2, -3/2+y/2)

-5/2+x/2 = -6

-5 + x = -12

x = -7

-3/2+y/2 = 4

-3+y = 8

y = 11

Therefore the coordinates of d are (-7,11)

4 0
3 years ago
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