Answer:
For Lin's answer
Step-by-step explanation:
When you have a triangle, you can flip it along a side and join that side with the original triangle, so in this case the triangle has been flipped along the longest side and that longest side is now common in both triangles. Now since these are the same triangle the area remains the same.
Now the two triangles form a quadrilateral, which we can prove is a parallelogram by finding out that the opposite sides of the parallelogram are equal since the two triangles are the same(congruent), and they are also parallel as the alternate interior angles of quadrilateral are the same. So the quadrilaral is a paralllelogram, therefore the area of a parallelogram is bh which id 7 * 4 = 7*2=28 sq units.
Since we already established that the triangles in the parallelogram are the same, therefore their areas are also the same, and that the area of the parallelogram is 28 sq units, we can say that A(Q)+A(Q)=28 sq units, therefore 2A(Q)=28 sq units, therefore A(Q)=14 sq units, where A(Q), is the area of triangle Q.
Answer:
'b' and 'c' = 119 degrees
Step-by-step explanation:
Given that this is a basic intersection of straight lines, we can assume 'b' and 'c' are equal as well as the given angle and it's opposite. Given 61 degrees and and two straight lines we can just take 180 degrees - 61 degrees and we get 119 degrees, I solved for 'b', but this will give the same answer for 'c', as 'b' and 'c' are equal.
Christine is “x” and yuri is “y”
y = x - 8
Answer:
g(n) = 2n + 49
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
g(n) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given the recursive formula
g(n) = g(n - 1) + 2 ← with d = 2 and a₁ = 51, then
g(n) = 51 + 2(n - 1) = 51 + 2n - 2 = 2n + 49 ← explicit formula
