Since the 8 in the first number is in the thousands place, its value it 8*1000=8000.
Since the 8 in the second number is in the hundreds place, its value is 8*100=800.
8000 is ten times 800.
Final answer: 10x as large
Answer:
2x(3y-4x)
Step-by-step explanation:
The top statement is incorrect. Angle 2+angle 6 does NOT equal 180°
9514 1404 393
Explanation:
<h3>8.</h3>
An exterior angle is equal to the sum of the remote interior angles. Define ∠PQR = 2q, and ∠QPR = 2p. The purpose of this is to let us use a single character to represent the angle, instead of 4 characters.
The above relation tells us ...
∠PRS = ∠PQR +∠QPR = 2q +2p
Then ...
∠TRS = (1/2)∠PRS = (1/2)(2q +2p) = q +p
and
∠TRS = ∠TQR +∠QTR . . . . . exterior is sum of remote interior
q +p = (1/2)(2q) +∠QTR . . . . substitute for ∠TRS and ∠TQR
p = ∠QTR = 1/2(∠QPR) . . . . . subtract q
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<h3>9.</h3>
For triangle ABC, draw line DE parallel to BC through point A. Put point D on the same side of point A that point B is on the side of the median from vertex A. Then we have congruent alternate interior angles DAB and ABC, as well as EAC and ACB. The angle sum theorem tells you that ...
∠DAB +∠BAC +∠CAE = ∠DAE . . . . a straight angle = 180°
Substituting the congruent angles, this gives ...
∠ABC +∠BAC +∠ACB = 180° . . . . . the desired relation
100 = 10^2
1000 = 10^3
10000 = 10^4
0.1 = 10^(-1)
0.01 = 10^(-2)
0.001 = 10^(-3)
Now,
100 × 0.1 = 10^2 × 10^(-1)
= 10
