Answer:
A) Yes the 2 triangles are similar by SSS Similarity and SAS Similarity
Step-by-step explanation:
SSS:
ST/SU = SW/SV = WT/VU
60/70 = 48/56 = 30/35
6/7 = 6/7 = 6/7
SAS:
ST/SU = SW/SV = 6/7 (look at SSS proving)
Angle S = Angle S because they are reflexive or the same angles
Sin D - 4/5
This is because sin would mean Opposite/Hypotenuse, and so if the angle is D then the opposite is 4.
sin C - 3/5
This is basically the same reason as sin D, however this time the Opposite is 3.
sin D × cos D - 4/5 × 3/5 = 12/25
For here, you just get the fractions of sin D, which we got earlier, and cos D, which would be Adjacent/Hypotenuse and therefore 3/5.
tan C × tan D - Not an option
cos C × tan D - 16/15
This is because cos C would be 4/5, and tan D would be 4/3 (Opposite/Adjacent) and multiplying those fractions together gives 16/15.
I hope this helps!
Answer:
B
Step-by-step explanation:
Rearrange the polynomial:
a^2–2ab+b^2 - c^2
((a-b)(a-b))-c^2
(a-b)^2-c^2
Set x =a-b and y=c. The formula becomes
x^2-y^2
factoring this polynomial, we get
(x+y)(x-y)
Substituting back, we get:
(a+b+c)(a+b-c)
Let’s multiply it out to check:
A^2 -ab ac
- ab B^2 -bc
-ac bc -c^2
Answer:
A. $1500.00
Step-by-step explanation:
Assuming this is a simple interest savings account.
<u>Simple interest formula</u>
I = Prt
where:
- I = total interest
- P = principal amount
- r = interest rate (in decimal form)
- t = time (in years)
Given:
- I = $225
- r = 3% = 0.03
- t = 5 years
Substitute the given values into the formula and solve for P:
⇒ I = Prt
⇒ 225 = P(0.03 ×5)
⇒ 225 = P(0.15)
⇒ P = 225 ÷ 0.15
⇒ P = 1500
Therefore, Timothy started the account with $1500.00.
