Answer:
x=32
Step-by-step explanation:
Since all angles in a triangle add up to 180, set 2x+x+2x+20=180. Then solve for x, and you'll get 32. Hope this helped!
To find (x-9)/3=2, we do
(x-9)/3=2
(x-9)/3×3=2×3
x-9=6
x-9+9=6+9
x=15
So, x is 15
Answer:
x=5
Step-by-step explanation:
The sides have to be equal length
3x+4 = 5x-6
Subtract 3x from each side
3x+4-3x = 5x-6-3x
4 = 2x-6
Add 6 to each side
4+6 = 2x-6+6
10 = 2x
Divide by 2
10/2 =2x/2
5 =x
Applying the sine ratio and the law of sines, the value of h in the diagram is: B. 3.2 yards.
<h3>What is the Sine Ratio?</h3>
Sine ratio for solving a right triangle is: sin ∅ = opp/hyp.
Let's find AT in triangle BAT using the given Law of Sines:
m∠BTA = 180 - (180 - 57) - 46 = 11°
AB = 1 yd
m∠ABT = 46°
Using the law of sines, we have:
sin(m∠ABT)/AT = sin(m∠BTA)/AB
Plug in the values
sin(46)/AT = sin(11)/1
AT = sin(46) × 1 / sin(11)
AT = 3.8 yards
Find h using the sine ratio:
∅ = 57°
Opposite = h
Hypotenuse = AT = 3.8 yards
Substitute
sin 57 = h/3.8
h = sin 57 × 3.8
h ≈ 3.2 yards.
Learn more about the sine ratio on:
brainly.com/question/2920412
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