Answer:
9. Triangle ABQ is congruent to Triangle BAP because of SAS congruency
10. x=5, y isn't shown anywhere
Step-by-step explanation:
9. The side AB is shared between the two triangles.
It is given that angle A and angle B are congruent.
It is given that AQ is congruent with BP.
Using these three, you can say that Triangle ABQ is congruent to Triangle BAP because of SAS congruency.
10. 7x-4=31 (given)
x=5
Do the same thing with y.
this is the quadratic formula
25 (6.50) = 162.50...so the total cost would be : $ 162.50
In this problem, you apply principles in trigonometry. Since it is not mentioned, you will not assume that the triangle is a special triangle such as the right triangle. Hence, you cannot use Pythagorean formulas. The only equations you can use is the Law of Sines and Law of Cosines.
For finding side a, you can answer this easily by the Law of Cosines. The equation is
a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
a2 = 81.55
a = √81.55
a = 9
Then, we use the Law of Sines to find angles B and C. The formula would be
a/sinA = b/sinB = c/sinC
9/sin54° = 11/sinB
B = 80.4°
9/sin54° = 8/sinC
C = 45.6°
The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4
9514 1404 393
Answer:
The decimal point moves 4 places to the right
Step-by-step explanation:
Take a simple case using the whole number 3.
3. — whole number we're starting with
3.×10^4 = 3.×10,000 = 30,000. — multiplied by 10^4
The decimal point moves 4 places to the right.
_____
<em>Additional comment</em>
Multiplying be a positive power of 10 moves the decimal point a number of places equal to that power. Effectively, the number of zeros added on the right is equal to the power of 10. Above, you will notice multiplying by 10^4 added 4 zeros to the right of the number.
