Answer:
19 degrees
Step-by-step explanation:
From the question given
The interior angles are x+12 and x - 3
Exterior angle is <IJK = 5x-6
Using the rule that states that the sum of interior angle of a triangle is equal to the exterior
<JHI + <HIJ = <IJK
x+12 + x-3 = 5x - 6
2x+9 = 5x -6
2x - 5x = -6-9
-3x = -15
x = -15/-3
x = 5
Get <IJK
Recall that <IJK = 5x - 6
<IJK = 5(5) - 6
<IJK = 25-6
<IJK = 19 degrees
Hence the measure of <IJK is 19 degrees
You know that 6x+3 equals 45 because the two sides are equal. So you first put the equation 6x+3=45. Then you use the subtraction property of equality and subtract 3 from both sides. This gives you 6x=42. Then you divide 6 from both sides to get you final answer, x=7
Answer:
5.6x+1.4
Step-by-step explanation:
(-3.5x+1.7)+(9.1x-0.3)=-3.5x+9.1x+1.7-0.3=5.6x+1.4
1 is akusmite empire
2 is assyrian empire
3 is babylonian empire
4 is city state
5 is codified laws
6 is empire
7 is iron age
8 is Mesopotamia
9 is nubian empire
10 is persian empire
11 is tribute
You’re welcome!
Answer:
2. 2.3
3. 37.2 m
Step-by-step explanation:
2. tan theta = opposite/ adjacent
tan 25 = x/5
Multiply each side by 5
5 tan 25 = x/5 *5
5 tan 25 = x
2.331538291
To the nearest tenth
2.3 =x
3. We want to find the height or y
sin theta = opposite/ hypotenuse
sin 60 = y /43
Multiply each side by 43
43 sin 60 = y/43 * 43
43 sin 60 = y
37.23909236 = y
To the nearest tenth
37.2 =y
The light pole is 37.2 meters tall
