Answer:there is nun wrong with that equation
Step-by-step explanation:
Answer: ![x](https://tex.z-dn.net/?f=x%3C%5Cfrac%7B2%7D%7B5%7D)
Step-by-step explanation:
![(2x+3)(4x-1)](https://tex.z-dn.net/?f=%282x%2B3%29%284x-1%29%3C8x%5E2%2B1)
Begin by multiplying parentheses.
![(2x*4x)+(2x*-1)+(3*4x)+(3*-1)](https://tex.z-dn.net/?f=%282x%2A4x%29%2B%282x%2A-1%29%2B%283%2A4x%29%2B%283%2A-1%29%3C8x%5E2%2B1)
![(8x^2)+(-2x)+(12x)+(-3)](https://tex.z-dn.net/?f=%288x%5E2%29%2B%28-2x%29%2B%2812x%29%2B%28-3%29%3C8x%5E2%2B1)
![8x^2-2x+12x-3](https://tex.z-dn.net/?f=8x%5E2-2x%2B12x-3%3C8x%5E2%2B1)
Subtract ![8x^2](https://tex.z-dn.net/?f=8x%5E2)
![8x^2-2x+12x-3+(-8x^2)](https://tex.z-dn.net/?f=8x%5E2-2x%2B12x-3%2B%28-8x%5E2%29%3C8x%5E2%2B1%2B%20%28-8x%5E2%29)
![-2x+12x-3](https://tex.z-dn.net/?f=-2x%2B12x-3%3C1)
Add 3
![-2x+12x-3+3](https://tex.z-dn.net/?f=-2x%2B12x-3%2B3%3C1%2B3)
![-2x+12x](https://tex.z-dn.net/?f=-2x%2B12x%3C4)
Combine like terms;
![10x](https://tex.z-dn.net/?f=10x%3C4)
Divide by 10
![x](https://tex.z-dn.net/?f=x%3C%5Cfrac%7B4%7D%7B10%7D)
Simplify;
![x](https://tex.z-dn.net/?f=x%3C%5Cfrac%7B2%7D%7B5%7D)
Complete question :
A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.
What are the measures of the angles in triangle ABC?
a) m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°
b) m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°
c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
d) m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°
Answer:
c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
Step-by-step explanation:
Given:
Length AC = 7 inches
Length BC = 24 inches
Length AB = 25 inches
Since it is a right angle triangle,
m∠C = 90°
To find the measures of the angle in ∠A and ∠B, we have :
For ∠A:
∠A = 73.7°
For ∠B:
![B = Sin^-^1 = 0.96](https://tex.z-dn.net/?f=%20B%20%3D%20Sin%5E-%5E1%20%3D%200.96)
∠B = 16.26 ≈ 16.3°
Therefore,
m∠A = 73.7°
m∠B = 16.3°
m∠C = 90°
(1) it can be both exterior of vertex or base. 180-130=50°
vertex is 50°: base=(180-50)/2=65°
base is 50°: vertex= 180-2*50=80°
vertex 50 base 65; vertex 80, base 50
(2)base=180-130=50°
vertex=180-2*50=80°
base 50 vertex 80