Which expression is equivalent to -1/3(6x+15) - 3?
2 answers:
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Answer:
Option (A) and (E) are correct.
We can prove ΔABC and ΔFGH are similar by AA criterion or by showing that the ratio of corresponding sides are equal.
Step-by-step explanation:
Given : two triangles, ΔABC and ΔFGH and we need to prove both are similar to each other.
We have to choose the correct options from the given choices.
Two triangles are said to be similar if their the corresponding sides are in proportion and the corresponding angles are congruent to each other.
that is
also measure ∠A and ∠F to show they are congruent as ∠H= ∠C = 90°
This can be observed by looking at the image . So when both triangle are congruent we an show by AA similarity criterion that ΔABC and ΔFGH are similar.
Thus, option (A) and (E) are correct.
We can prove ΔABC and ΔFGH are similar by AA criterion or by showing that the ratio of corresponding sides are equal.
Given:
Two rational numbers are and
.
To find:
The three rational numbers between the given two numbers.
Solution:
Two rational numbers are and
. First we need to make denominators common.
and,
Now, we have same denominators. Numerators are -14 and -10.
So, three numbers between -14 and -10 are -11, -12 ,13.
Therefore, the three rational numbers between and
are
.