Hello :
<span>x² + y² + 14x + 2y + 14 = 0
</span>(x² + 14x) + (y²+ 2y) + 14 = 0
(x² + 14x+49-49) + (y²+ 2y+1-1) + 14 = 0
(x² + 14x+49)-49 + (y²+ 2y+1)-1 + 14 = 0
(x+7)² + (y+1)² =6²...(answer : <span>D(-7, -1), 6 units )</span>
Answer:
The, value x for the give problem is 20 units.
Step-by-step explanation:
Consider triangle ABC,
Now, from the attached figure
Given that
PQ || AB
CP = 8units
PA = 6 units
CQ = x = ? units.
QB = 15 units
We know that
By Basic Proportionality Theorem,
CP / PA = CQ / QB
On substituting these values in the above formula
⇛ (8) / (6) = (x) / (15)
On applying cross multiplication then
⇛ 8(15) = x(6)
⇛ 120 = 6x
⇛ x = 120÷6
⇛ x = 120/6
Therefore, x = 20 units.
<u>Answer</u>: Hence, value of x is 20 units.
<u>Additional comment:</u>
Basic Proportionality Theorem
" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio"
Please let me know if you have other questions.
Well, before we can calculate anything, we need to know where the sun is in the sky
Given that m∠A=m∠D. The facts that would guarantee similarity of triangle ABC and triangle FDE is :
The ratio of corresponding sides are similar, that it:
AB/DE=CB/FE=CA/FD
also the corresponding angles should be equal.
hence the answer is:
A] AB/DE=CB/FE and m∠C=m∠F
Answer:
Two opposite angles of a parallelogram are always <u>equal</u><u>.</u>