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.
Answer:
step-by-step explanation:
first you divide 24 by six to get the number needed for the next step
24/6 = 4
then you times eight and four
8*4 = 32
which gets you the number 32
which also means that 32 dollars are in jamal's brother bank account
hope this helps! :)
Answer:
Step-by-step explanation:
- An obtuse angle has a measurement greater than 90 degrees but less than <em>180 degrees.</em>
<u>Correct choice is</u>
1. m = (y2 - y1) / (x2 - x1)
2. negative
3. y = 2
4. 0 slope
5. line A has steepest slope
6. (5,5)(-5,-1)...slope = -6/-10 = 3/5
7. Line B has a slope of -5
8. (1989,3)(1999,5.5) = 2.50/10 = 0.25
9. not sure
10. -1/4 inches per month
Answer:
product is multiplication