<h2>70 total question on the final exam</h2>
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Answer:
C) (-1, -4) and (4, 6)
Step-by-step explanation:
Substitute Equation 1 into Equation 2 and solve for x:
Find two numbers that multiply to -4 and sum to -3: -4 and 1
Rewrite the middle term as the sum of these two numbers:
Factorize the first two terms and the last two terms separately:
Factor out the common term :
Substitute the found values of x into Equation 1 and solve for y:
Therefore, the solution to the system of equations is:
(-1, -4) and (4, 6)
Answer:
Option B) ∠DCE is congruent to ∠BCA by the Vertical Angles Theorem and 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SAS Similarity Postulate
Step-by-step explanation:
we know that
The SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
we have that
m∠DCE≅m∠BCA -----> by vertical angles
substitute the values
----> is true
so
Two sides in triangle ABC are are proportional to two sides in triangle EDC and the included angle in both triangles are congruent
therefore
ΔABC and ΔEDC are similar by SAS Similarity Postulate
Answer:
f=in(7/3)
Step-by-step explanation:
Divide both sides by 9
take the natural log of both sides
divide both sides by 2.