Hello.
1. Understand that this requires inverse trigonometry.
2. For A, we can use sin^-1 if we want (we could use cos^-1 or tan^-1 as well because all sides are given)
Definition of sin^-1 with how it is derived
sin(theta) = O/H <—> sin^-1(O/H)
Angle A: (When calculating an angle, ensure that your calculation is in degree mode instead of radian mode.) 2ND, then QUIT on TI
sin^-1(7/25) = 16.26020471°
(round as needed)
Angle &: (also in degree mode)
All angles of a triangle add to 180°.
1. 180° - (angle B + Angle A) = Angle &
2. 180° - (90° + 16.26020471°) = 73.73979529°
(round as needed)
To quickly check: 16° + 90° + 73° = 180°, as expected for a triangle
From the picture you provided,
The angle values make sense because that triangle represents a 30-60-90 degree triangle. (Also, a good trick is to know that the smallest angle of a triangle will always have the smallest side value, and the largest angle has the largest side value.)
Unless we have an equilateral triangle!
Good luck to you!
Answer:
1/2(m∠JKL) = m∠JKM
Step-by-step explanation:
The angle JKL is being bisected by line KM. This means that the angle has been split into 2 equal angles. Therefore, one of these angles will be equal to 1/2 of the large angle. So, option B, 1/2(m∠JKL) = m∠JKM, is correct.
The given equation is ⇒ y = -1.2 x + 24
<u>Part A : Graph the equation.</u>
To graph the equation, substitute with values of x then find y
The attached figure represents the table to graph the equation and the graph of the equation.
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<u>Part B : x-intercept</u>
To find x-intercept substitute with y = 0 and solve for x
∴ 0 = -1.2 x + 24
∴ 1.2 x = 24
∴ x = 24/1.2 = 20
x-intercept is at point (20,0)
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<u>Part C : y-intercept</u>
To find y-intercept substitute with x = 0 and solve for y
∴ y = -1.2 * 0 + 24
∴ y = 24
∴ y-intercept is at point (0,24)
Answer:
10
Step-by-step explanation:
height = 2(Base) + 4
h = 2b + 4
Area of Triangle
A= bh/2
15 = b (2b) +4) / 2 multiply both sides by 2 and distribute the b
30 = 2
+ 4b Divide everything by 2
15 = + 2b Subtract 15 from both sides
+ 2b -15 = 0 Look a quadratic. Factor or use quadratic formula
b = 3 or b = -5 Measurements of length can't be negative. So its 3
h = 2(3) + 4 Substitute 3 in to find height
h = 10
