Answer:
26.0 cm
Step-by-step explanation:
Given quadrilateral ABCD with diagonal BD forming triangles ABD and BCD, and angles A=90°, C=52°, ADB=35°, and CBD=52°, you want the length of CD to 3 significant figures.
<h3>Law of Sines</h3>
The law of sines tells you the relation between sides and opposite angles is ...
a/sin(A) = b/sin(B) = c/sin(C)
This lets us write two proportions that can be solved for the measure of CD.
In triangle ABD:
BD/sin(A) = AB/sin(D)
BD = AB·sin(90°)/sin(35°) = 12 cm/sin(35°) ≈ 20.921 cm
In triangle BCD:
CD/sin(B) = BD/sin(C)
CD = BD·sin(B)/sin(C) = 20.921 cm·sin(102°)/sin(52°) ≈ 25.969 cm
The length of CD is about 26.0 cm.
5+4=9 therefore the number is divisible by 9.
9×6=54
Then you find the prime factors of the two numbers that times together to make 54.
9=3×3
6=3×2
So 2×3×3×3=54
OR 2×3^3
Answer:
x=0, x=-4
Step-by-step explanation:
So the full equation would be
4(3)+3 and 1(3)+4(3)
12+3 and 3+12
15 and 15
So your answer is 15 for both problems
Hope this helped. Have a great day!