Answer:
The 3rd option
Step-by-step explanation:
To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.
This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent
We know that m<D=m<E
We also know that m<DCA=m<ECB because they are vertical angles.
Vertical angles are always congruent.
Therefore, the triangles are similar.
The correct similarity statement would be 1, since <D corresponds with <E.
Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.
A pair of alternate interior angles would be <D and B or or <E and <A
There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.
Hence, the correct choice would be 1 only.
The height of the rectangle is 15 while the base is 3.
15+15+3+3=36cm
500 miles / 20 gallons = 25 miles / gallon
25 miles * 18.5 gallons = 462.5 miles / one tank of gas
Answer:
So the formula for the sequence is
Second term =first term + (a+nd)
Third term = second term + (a+nd)
And so on
Where n start with zero
Step-by-step explanation:
3 8 17 30 47
First term = 3
Second term = 8
Third term = 17
Fourth term = 30
Fifth term = 47
Second term - first term = 8-3=5
Third term - second term = 17-8= 9
Fourth term - third term = 30-17=13
Fifth term - fourth term = 47-30=17
So the AP is 5 9 13 17
We find out that the common difference is 9-5 = 4
The formula for nth term of the AP is
= a + nd
So the formula fir the sequence is
Second term =first term + (a+nd)
Third term = second term + (a+nd)
And so on
Where n start with zero
