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siniylev [52]
3 years ago
9

An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. The area of the trapezoid is

Mathematics
1 answer:
9966 [12]3 years ago
4 0
I believe the area is 56
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Determine if (−2,4) is a solution to the following system of inequalities.-3x > -7y -37x > -5y -4
nikklg [1K]

Remember that ordered pairs are written in the form (x,y).

Then, to check if (-2,4) is a solution to the system of inequalities, both of the given inequalities should be verified when replacing x=-2 and y=4.

Replace x=-2 and y=4 into the inequalities and check if both of them are satisfied or not.

-3x > -7y - 3

\begin{gathered} \Rightarrow-3(-2)>-7(4)-3 \\ \Rightarrow6>-28-3 \\ \Rightarrow6>-31 \end{gathered}

Sice 6 is greater than -31, then this inequality is satisfied by (-2,4).

7x > -5y-4

\begin{gathered} \Rightarrow7(-2)>-5(4)-4 \\ \Rightarrow-14>-20-4 \\ \Rightarrow-14>-24 \end{gathered}

Since -14 is greater than -24, then this inequality is satisfied by (-2,4).

Since both inequalities are satisfied by (-2,4) then (-2,4) is a solution to the given system of inequalities.

5 0
1 year ago
Matt has 43 coins in his piggy bank. He only has quarters and nickels and the total amount of money he has saved thus far is $5.
nikitadnepr [17]
The answer is 18.


He has 575 cents.

25q + 5n = 575
q + n = 43

(575-q*25)/5=n
Listing some points in the form (q,n), until we find that q+n is 43:
(0,115); q+n=115
(1,110); q+n=111
(2,105); q+n=107
(3,100); q+n=103
(4,95); q+n=99
(5,90); q+n=95
(6,85); q+n=91
(7,80); q+n=87
(8,75); q+n=83
(9,70); q+n=79
(10,65); q+n=75
(11,60); q+n=71
(12,55); q+n=67
(13,50); q+n=63
(14,45); q+n=59
(15,40); q+n=55
(16,35); q+n=51
(17,30); q+n=47
(18,25); q+n=43
(19,20); q+n=39
(20,15); q+n=35
(21,10); q+n=31
(22,5); q+n=27
(23,0); q+n=23
(24,-5); q+n=19

When q+n is 43, he had 18 quarters!
18*25+(43-18)*5=575
There was a much easier way to do this.
7 0
3 years ago
Please answer this for me ​
Ronch [10]
The answer is c

Explanation Ik it
6 0
3 years ago
Find the slope of the line through the points (4, 8) and (5, 10).
Ulleksa [173]

Answer:

the slope is 2. or m=2

Step-by-step explanation:

basically

\frac{10-8}{5-4} =\frac{2}{1} =2

7 0
2 years ago
How would you show a of rate changeof 15 feet per second on a graph
Fofino [41]

Answer:

bob

Step-by-step explanation:

7 0
2 years ago
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