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
The answer is 96 because you insert you variable which is 8 , and multiple 12 times 8 which equals 96 .
The three decimals that Mrs. Ibara wote were
4.15, 6.30 and 8.45
Now we have to find the other two numbers that are kept blank.
For this purpose, firstly we have to subtract the first 2 decimal numbers and find out the difference.
6.30 - 4.15 = 2.15
Now let us check the difference between the second and the third decimals.
8.45 - 6.30 = 2.15
So the difference is again the same. Then the fourth number will be
8.45 + 2.15 = 10.6
The fifth number will be
10.6 + 2.15 = 12.75
The blank spaces will be 10.6 and 12.75.
Step-by-step explanation:
total students=99
finished entering marks =9\11
let the entered number be x
now,
"x=9\11×99
x=9×9
x=81
again,
99-81=18
the remaining number of students is 18
F(-2)=8 this is the answer. you just substitue
