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Yanka [14]
3 years ago
12

Calculate the area of the given quadrilaterals.​

Mathematics
1 answer:
nadya68 [22]3 years ago
3 0

Answer:

dissect the trapezium into a square and triangle. since the triangle is a right angled one the base is 17-7=10cm

the height is found using Pythagorean theorem to be 24cm i.e 26²=x²+10²,x=√(676-100),x=√576,x=24cn

area of trapezium is (1/2)(a+b)h

a is the shorter side and b the longer side

(1/2)*(7+17)24

=288cm²

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Graph the system of linear inequalities, please explain the process in solving this problem so I know how to do ones similar to
Ierofanga [76]

Graph the system of linear inequalities

x + y > 5

- x - y < -5

First we graph x + y >5

Step 1: replace > symbol by = sign

x + y =5

step 2 : Solve the equation for y

x + y =5 (subtract x from both sides)

y = 5 - x

step 3: Now we make a table . plug in some number for x  and find out y

x -----> y

-1 -----> 6   ( y=5-x => y=5-(-1)= 6)

0 -----> 5   ( y=5-x => y=5-(0)= 5)

1 -----> 4   ( y=5-x => y=5-(1)= 4)

Step 4:  we graph the table.

step 5: Shade the region that satisfies our inequality

x + y > 5. Greater than symbol implies that we shade the graph to the right

Graphing second inequality - x - y < -5

All terms have negative sign . so divide all the terms by -1. When we divide an inequality by -1 its sign changes

- x - y < -5 becomes x + y > 5

Follow the same steps to graph this inequality

After dividing the second equation  by -1 , we got the same as the first equation.

So we will get the same graph

Both graphs overlaps

The graph of first and second inequality overlaps

The graph is attached below

4 0
3 years ago
It’s a bonus question on a work sheet I need your help.
xz_007 [3.2K]

Answer:

I think 5 because they both go into it

7 0
2 years ago
Jayla bought a table and some chairs at a furniture store.
anzhelika [568]

Answer:

b. She paid $30 for each chair.

6 0
3 years ago
Read 2 more answers
Find the point on the line y=2x that is closest to the point (4, 5) .
alexgriva [62]
That point would be : (2.5,5)
7 0
3 years ago
Simplify the expression: 2( 5 t + J) + 3( 2t + 4 J )
Irina-Kira [14]

Answer:

16t + 14J

Step-by-step explanation:

1) First, you have to multiply the numbers

New Expression: 10t + 2J + 6t + 12J

2) Now, you have to find the like terms and add them together

New Expression: 16t + 14J

Hope this helps!

7 0
3 years ago
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