Answer:
Option b. 
Step-by-step explanation:
step 1
In the right triangle ABC
<em>Find the sine of angle CAB</em>
---> the sine of angle CAB is equal to divide the opposite side angle CAB (BC) by the hypotenuse (AC)
substitute
simplify
---->equation A
step 2
In the right triangle BDC
<em>Find the sine of angle CBD</em>
---> the sine of angle CBD is equal to divide the opposite side angle CBD (DC) by the hypotenuse (BC)
substitute
----> equation B
step 3
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
Triangles ABC and BDC are similar by AA Similarity Theorem
therefore
m∠CBD≅m∠CAB
equate equation A and equation B
solve for DC
step 4
Find the value of AD
substitute the values
Answer:
1. True, 2. False, 3. I am blind.
Step-by-step explanation:
For the 3rd one I cannot confirm becaue I am blind.
9514 1404 393
Answer:
- b = 757.7 m
- A = 17.2°
- C = 14.3°
Step-by-step explanation:
From the law of cosines, you can find the length of side b to be ...
b = √(a² +c² -2ac·cos(B))
b = √(184041 +128164 -307164cos(148.5°)) ≈ √574105.36
b ≈ 757.7
__
From the law of sines, you can find the measure of angle C to be ...
C = arcsin(c/b·sin(B))
C ≈ arcsin(358/757.7·sin(148.5°)) ≈ arcsin(0.246872)
C ≈ 14.3°
A = 180° -148.5° -14.3°
A = 17.2°
_____
Some graphing calculators have built-in triangle-solving functions. Apps are available for the purpose for phone or tablet. The screenshot shows a web site that does a nice job of solving the triangle.
The equation would be c÷3=7 (haha i think thats the answer)
<span>7t +12
Substitute 9 for t
7(9)+12
Multiply 7 by 9
63+12
Add
Final Answer: 75</span>
