She wants to purchase shoes that cost $ 50
she wants to purchase socks that cost 2.20 each......so the expression for this is 2.20s...with s being the number of pairs of socks bought
and she only has $ 64....so she has to spend 64 or less...< = 64
so ur inequality would be :
50 + 2.20s < = 64.....subtract 50 from both sides
2.20s < = 64 - 50
2.20s < = 14...divide both sides by 2.20
s < = 14 / 2.20
s < = 6.36....so she can purchase 6 pairs of socks without going over
0.5kg is the same as 500g.
Let x = the unknown cost of 300g. We will use this to set up a proportion and crossmultiply.
Now crossmultiply and solve for x.
500x = 300(30)
500x = 9000
x = 18
300 grams cost 18p
Check out the attached image for the answers.
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Statement 2 is blank, but it has the reasoning "Corresponding angles postulate"
Because BD || AE, we know that the corresponding angles are congruent.
One pair of corresponding angles is angle 1 and angle 4. This is because they are on the same side of the transversal AC and they are both above their parallel line counter-part. Similarly, angle 2 and angle 3 are another corresponding pair.
So you'll have "angle1=angle4, angle3=angle2" in the first blank slot
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Reason 3 is blank. The statement is that triangle ACE is similar to triangle BCD. The reason why the are similar is the AA (angle angle) similarity postulate. This says that if you know two pairs of angles are congruent, then the triangles are similar. The two pairs of angles were mentioned back on the previous line (line 2)
So you'll put "Angle-Angle Similarity Postulate" in the second blank.
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Look at the line just above the last line. Here we have
1 + (BA/CB) = 1 + (DE/CD)
If we subtract 1 from both sides, we end up with,
BA/CB = DE/CD
which is what will go in the last blank space
Side Note: The last statement will always be what you want to prove. So you can just look at the very top of the problem where it says "Prove:" under the "Given" part. Then just copy/paste the statement you want to prove, which in this case is BA/CB = DE/CD
Answer:
18
Step-by-step explanation:
3x + 2x = 90
5x = 90
5x/5 = 90/5
x = 18
It is a quadratic
where x-8 is the squared term
do
x-8=u
u^2-13u+30=0
solve
u=
u=
u=
u=
u=
u=
or u=
u=10 or 3
10=x-8 or 3=x-8
18=x or 11=x
x=11 and/or 18