Answer:
Tom can cut 12 (15 inch pieces) from the two boards.
Step-by-step explanation:
We're first given foot measurements and we're asked to find the answer in inches. That means we must convert 8 feet to inches, which is a 1:12 inches conversion. 8 times 12 will give you 96, so now you will multiply that value by 2 because Tom has 2 8-foot long boards. That will give you 192 inches. Since the question is asking for 'how many 15 inch pieces he can cut from the two boards?', you will need to divide 192 inches by 15 to find the answer. This will give you 12.8 boards. Because you can't have parts of an object, the answer will be 12 whole boards.
Answer:
See proof below
Step-by-step explanation:
Two triangles are said to be congruent if one of the 4 following rules is valid
- The three sides are equal
- The three angles are equal
- Two angles are the same and a corresponding side is the same
- Two sides are equal and the angle between the two sides is equal
Let's consider the two triangles ΔABC and ΔAED.
ΔABC sides are AB, BC and AC
ΔAED sides are AD, AE and ED
We have AE = AC and EB = CD
So AE + EB = AC + CD
But AE + EB = AB and AC+CD = AD
We have
AB of ΔABC = AD of ΔAED
AC of ΔABC = AE of ΔAED
Thus two sides the these two triangles. In order to prove that the triangles are congruent by rule 4, we have to prove that the angle between the sides is also equal. We see that the common angle is ∡BAC = ∡EAC
So triangles ΔABC and ΔAED are congruent
That means all 3 sides of these triangles are equal as well as all the angles
Since BC is the third side of ΔABC and ED the third side of ΔAED, it follows that
BC = ED Proved
Hi!
So for this problem, we're given the y-coordinate and we can plug that in for y in the equation. So let's do that
-1 = -3/5x - 7
6 = -3/5x
30 = -3x
-10 = x
The missing coordinate would be x, assuming that the equation was y = (-3/5)x - 7
3*10^6
Three * 10 to the power of 6
