Teresa gave away 8 baseball cards and has 4 left. 8 plus 4 means she originally had 12. Right now she has 4 out of her original 12 cards remaining. This gives us 4/12. We can simplify this by dividing our greatest common factors. 4 goes into both parts of our fraction, when we divide each part by 4 we end up with 1/3. Since we are unable to simplify this problem any further, this means our solution and fraction is 4/12 aka 1/3.

4 0

3 years ago

Find x if the average of 18, 19, 20, 13, and x is 18.

cupoosta [38]

Answer:

A. 20

Step-by-step explanation:

18+19+20+13+20= 90

90/5= 18

7 0

3 years ago

Please help i will brainly Δdef and Δxyz are similar isosceles triangles.

aivan3 [116]

Answer:

Part 1) The ratio of the sides is 1.5

Part 2) see the explanation

Step-by-step explanation:

Part 1) we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

If Δdef and Δxyz are similar (given problem)

then

$\frac{XY}{DE}=\frac{ZY}{FE}$

substitute the values

$\frac{15}{10}=\frac{ZY}{6}$

solve for FY

$ZY=15(6)/10=9\ cm$

When two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

The scale factor is equal to

$\frac{15}{10}=\frac{9}{6}=1.5$

Part 2) How you could verify that these two triangles are indeed similar.

Remember that

In similar figures the corresponding angles are congruent

m∠D≅m∠X

m∠W≅m∠Y

m∠F≅m∠Z

then

Triangles are similar

7 0

4 years ago