Answer:
Given: A triangle ABC and a line DE parallel to BC.
To prove: A line parallel to one side of a triangle divides the other two sides proportionally.
Proof: Consider ΔABC and DE be the line parallel to Bc, then from ΔABC and ΔADE, we have
∠A=∠A (Common)
∠ADE=∠ABC (Corresponding angles)
Thus, by AA similarity, ΔABC is similar to ΔADE, therefore
AB/AD= AC/AE
⇒AD+DB/AD = AE+EC/AE
⇒1+DB/AD = 1+ EC/AE
⇒DB/AD = EC/AE
Therefore, a line parallel to one side of a triangle divides the other two sides proportionally.
⇒Therefore Proved
Hope this helps!!!
Answer:
18 students are likely to be wearing red
Step-by-step explanation:
From the question, we know a student either wears red , or blue, with the probability of a student wearing red is 3 times more probable than wearing white.
So, let’s say out of the 24 students, x of them are wearing white. What this practically mean is that 3 * x = 3x of the students would be expected to be wearing red.
Now, adding the number of people wearing red and white together in terms of x, we have x + 3x = 4x
We equate this to 24; 4x = 24 and x = 24/4; x = 6
The number wearing red probably is 3 * x = 3 * 6 = 18 people
The domain is all the x values that makes the graph work so its -4,-1,3,5,6
Answer:
D.) f(x) = 197(1.03)^(7x); grows at a rate of approximately 3% daily
Step-by-step explanation:
The growth equation can be written in terms of a rate compounded 7 times per week:
f(x) = 197×1.25^x = 197×(1.25^(1/7))^(7x)
f(x) ≈ 197×1.0324^(7x) . . . . x represents weeks, a daily growth factor is shown
The daily growth rate as a percentage is the difference between the daily growth factor and 1, expressed as a percentage:
(1.0324 -1) × 100% = 3.24%
The best match is choice D:
f(x) ≈ 197(1.03^(7x)); grows approximately 3% daily
Given:
House valued at $ 425,000
AAA Insurance: $0.38 per 100 with a $500 deductible
425,000 / 100 = 4,250
4,250 x 0.38 = 1,615 annual premium
Thompson’s insurance: $0.26 per 100 with a $1000 deductible
425,000 / 100 = 4,250
4,250 x 0.26 = 1,105 annual premium
If
an incident occurs that results to damage or loss to their home, the
couple shall shell out 500 before AA Insurance can take over payment for
expenses. On the other hand, the couple will shoulder 1,000 before
Thompson’s insurance take over payment for expenses in the event there
is an incident that results to damage or loss to their home.
c.
Thompson’s Insurance is cheaper even if Tara and Levi experience an
incident that results in severe damage or loss to their home.
