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LiRa [457]
3 years ago
10

I need help with this! I'll mark Brainliest if it's correct.

Mathematics
1 answer:
Sauron [17]3 years ago
5 0
Answers:
Coordinates of H are: (a,a)
The slope of segment GJ is: -1
The product of the slopes of the diagonals is: -1

-------------------------------------------------------

Explanation:

Point J has an x coordinate of x = a
Point G has a y coordinate of y = a
So point H has the coordinates (x,y) = (a,a)
We simply move straight up from point J to get to H. At the same time, we move horizontally across to go from G to H. This is why H has half the coordinates from each J and G

----------

As for the slope of GJ, we use the slope formula
m = (y2-y1)/(x2-x1)
m = (0-a)/(a-0)
m = -a/a
m = -1
So that shows why the slope of GJ is -1

Multiplying the slope of KH (1) and the slope of GJ (-1), we get
1 times -1 = -1
The product being -1 shows the diagonals KH and GJ are perpendicular. They form a 90 degree angle. 
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One number exceeds another by -1. the sum of the numbers is 5. what are the numbers?
maks197457 [2]
X-y=-1
x+y=5
y=x+1
x+x+1=5
2x+1=5
2x=4
x=2
y=x+1
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4 0
3 years ago
7/11÷2/5=<br>A.1/11<br>B.22/35<br>C.5/6<br>D.35/22
Tamiku [17]
The answer's D. 35/22

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7 0
3 years ago
The sum of three consecutive even integers is 126. Let x represent the first integer, x + 2 represent the second integer, and x
LekaFEV [45]
We have that (x) + (x+2) + (x+4) = 126 so 3x + 6 = 126 can be used to find the first integer.

3x + 6 = 126
3x = 120
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The numbers are 40, 42, 44
4 0
3 years ago
Read 2 more answers
Dave buys a baseball for $15 plus an 8% tax. Mel buys a football for $20 plus an 8$ tax. How much did each person pay?
-Dominant- [34]
Dave pays $15 and tax is $1.2 so dave spent a total of $16.20.

Mel pays $20 and tax is $1.6 so Mel spent a total of $21.60.

All you need to do is convert the percent to a decimal, so take 8 and divide by 100 and you get 0.08. then you need to  multiply the cost by the tax so 15*0.08=1.2 then you just add tax to original amount 15+1.2=16.2
:)
5 0
3 years ago
Read 2 more answers
Maria is purchasing sandwiches for her team at work. Each sandwich costs $6.25 and there is a delivery fee of $15.00, all taxes
Oduvanchick [21]

Answer:

The maximum number of sandwiches she can buy is 24.

Step-by-step explanation:

We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:

cost(x) = 15 + 6.25*x

Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:

cost(x) \leq 170\\15 + 6.25*x \leq 170\\6.25*x \leq 170 - 15\\x \leq \frac{155}{6.25}\\x \leq 24.8

Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.

3 0
3 years ago
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