Answer:9 7/8
Step-by-step explanation:
You combine the whole numbers which are 6 and 3 the sum of that is 9 and then to add fractions you make the denominators the same so you do 2x3/4 =6/8 +1/8=7/8
The answer is 832 you divide 7488 by 9 and it will equal 832
Answer:
234
Step-by-step explanation:
Yes it is possible to prove this figure is a parallelogram
Refer to the attached image
Step 1) mark the corner points as A, B, C, D
Step 2) Draw a diagonal from A to C (shown in red)
Step 3) Through the SSS (side side side) property, we can prove the two triangles ABC and ADB are congruent
Step 4) By CPCTC (corresponding parts of congruent triangles are congruent), we can say the angles of the triangles are congruent as well. So angle ACB is congruent to angle CAD (as shown in green)
Step 5) Through the converse of the alternate interior angle theorem, this means that the BC is parallel to AD
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If you repeat those steps, but instead of drawing diagonal AC you draw diagonal BD, then you can prove that AB || CD
Once you know that AB || CD and BC || AD, then you have proven the figure is a parallelogram. By definition, a parallelogram is a four-sided figure with opposite sides that are parallel.
This sequence is:
a(n)=-11(-4)^(n-1)
The sum of the sequence is:
s(n)=-11(1--4^n)/(1--4)
s(n)=-11(1--4^n)/5
so for the first seven terms
s(7)=-11(1--4^7)/5
s(7)=-11(1+16384)/5
s(7)=-11(16385)/5
s(7)=-36047 B.