Answer:
Step-by-step explanation:
Since AC || DE, and ABC forms a triangle, we can deduce that ABC is a smaller triangle inside triangle DBE.
In the second step, we see that ∠CAB in the smaller triangle is congruent to ∠EDB in the larger one, due to the corresponding angles theorem. We also see that ∠ACB in the smaller triangle is congruent to ∠DEB in the larger one, again by the corresponding angles theorem.
This leads to the third step; since we have two of the angles in one triangle congruent to the corresponding angles in the other triangle, this means the third angle will be congruent (since all triangles equal 180°, and the first two angles are equal, the third must be equal as well). Two triangles in which all three angles of one triangle are congruent to the three angles of the other are similar triangles.
Since the triangles are similar, corresponding sides have the same ratio. This means that the ratio of AB to the larger side DB is the same as the ratio of CB to the larger side EB; this gives us
AB/DB = CB/EB.
Answer:
y = 7/11x
Step-by-step explanation:
Answer:
Step-by-step explanation:
28^1/2=√(28)=√(4×7)=2√7
Answer:
Adam = 70 pounds
Ben = 40 pounds
C = 60 pounds
Step-by-step explanation:
We can work out some equations based on the given information:
We can call the boys A, B and C
so,
- when all three boys are standing on the scale, it reads 170 pounds.
- Eq(1)
- when Adam stepped off, the scale reads 100. This means that the combined weight of the remaining two boys is 100.
- Eq(2)
- when both Adam and Ben stepped off, the weight of the remaining boy is shown on the scale.
So we already knew the weight of boy C. (it was in the question all along)
pounds
<u>Now to find the individual weights of the remaining boys, we can work our way backwards</u><u> </u>
we can put this value back in Eq(2), to find the weight of boy B.
the
the weight of boy B (Ben) is pounds
now we can put all of the known weights of the boys in Eq(1) to find the weight of Boy A.
the weight of boy A (Adam) is pounds
The Answer:
Adam = 70 pounds
Ben = 40 pounds
C = 60 pounds
Answer:
57
Step-by-step explanation:
A product is the result of multiplication.
3 x 19 = 57
