Where to Dig: The dinosaur's neck bones are at another point on the grid — the solution to the system of equations below. Find t
1 answer:
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Answer:
By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that
Step-by-step explanation:
Given that ∠ABC=∠ADC, AD=p and DC=q.
Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles
and given ∠ABC=∠ADB=90°
Hence using AA postulate, ΔABC ≈ ΔADB.
Now we will equate respective side ratios in both triangles.
Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.
Cross multiply
Hence proved.
ANSWER:
For the first picture, it is the first answer. This is because of the Exterior Angle Theorem.
For the second picture, use the Exterior Angle Theorem again, but this time, solve for x.
The m∡B = 39°
Answer:
Step-by-step explanation:
The nth term of an arithmetic sequence is given by the formula,
We were given that the 9th term is .
The sum of the first n-terms is given by the formula,
To find , we substitute
,
and
.
The correct answer is D