Answer:
<h2>x = 10</h2>
Step-by-step explanation:
![4-(3x-5)=6-(2x+7)\\\\/-(a+b)=-1(a+b)=(-1)(a)+(-1)(b)-\text{distributive property}/\\\\4-3x-(-5)=6-2x-7\\\\4-3x+5=6-2x-7\qquad\text{combine like terms}\\\\-3x+(4+5)=-2x+(6-7)\\\\-3x+9=-2x-1\qquad\text{subtract 9 from both sides}\\\\-3x+9-9=-2x-1-9\\\\-3x=-2x-10\qquad\text{sdd}\ 2x\ \text{to both sides}\\\\-3x+2x=-2x+2x-10\\\\-x=-10\qquad\text{change the signs}\\\\\boxed{x=10}](https://tex.z-dn.net/?f=4-%283x-5%29%3D6-%282x%2B7%29%5C%5C%5C%5C%2F-%28a%2Bb%29%3D-1%28a%2Bb%29%3D%28-1%29%28a%29%2B%28-1%29%28b%29-%5Ctext%7Bdistributive%20property%7D%2F%5C%5C%5C%5C4-3x-%28-5%29%3D6-2x-7%5C%5C%5C%5C4-3x%2B5%3D6-2x-7%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C-3x%2B%284%2B5%29%3D-2x%2B%286-7%29%5C%5C%5C%5C-3x%2B9%3D-2x-1%5Cqquad%5Ctext%7Bsubtract%209%20from%20both%20sides%7D%5C%5C%5C%5C-3x%2B9-9%3D-2x-1-9%5C%5C%5C%5C-3x%3D-2x-10%5Cqquad%5Ctext%7Bsdd%7D%5C%202x%5C%20%5Ctext%7Bto%20both%20sides%7D%5C%5C%5C%5C-3x%2B2x%3D-2x%2B2x-10%5C%5C%5C%5C-x%3D-10%5Cqquad%5Ctext%7Bchange%20the%20signs%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D10%7D)
Applying the sine ratio and law of sines, the correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft.
<h3>What is the Sine Ratio?</h3>
Sine ratio that can be used to determine the side length of a right triangle is, sin ∅ = opposite side/hypotenuse.
Find c using the law of sines:
C = 33°
A = 180 - 48 = 132 [linear pair]
B = 180 - 33 - 132 = 15° [triangle sum theorem]
b = 20 ft
c = ?
Using the law of sines, b/sin B = c/sin C, we have:
20/sin 15 = c/sin 33
(c)(sin 15) = (20)(sin 33)
c = (20 × sin 33)/sin 15
c ≈ 42.09
Use the sine ratio to find h:
∅ = 48°
Hypotenuse = c = 42.09
Opposite = h = ?
sin 48 = h/42.09
h = (sin 48)(42.09)
h ≈ 31.28
The correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft
Learn more about the sine ratio on:
brainly.com/question/2920412
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2n+8 maybe try that i dont get the question..kinda confusing
Answer:
so basacilly the answer to all of the question is a
Step-by-step explanation: you welcome!