Answer:
The found values are:
y = 10
<JKM = 106°
<MKL = 74°
Step-by-step explanation:
(See the diagram attached)
As JKL is a straight horizontal line, angle measure from JK to KL is 180°.
We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.
Which means that the sum of <JKM and <MKL is equals to 180°.
Mathematically, it can be written as:

Substitute the values of both angle to solve the equation:

Put in the formulas of both angle to find their values:
<JKM = 10y + 6 
<JKM = 10(10)+6
<JKM = 106°
<MKL = 8y - 6
<MKL = 8(10)-6
<MKL = 74°
 
 
        
                    
             
        
        
        
Answer:
59.0
Step-by-step explanation:
Given a right angled triangle, ∆XYZ, to know which trigonometric ratio formula to apply in finding the measure of angle X, note the following:
Opposite side to angle X = 6
Hypotenuse = 7
Therefore, we would apply the following trigonometric ratio formula to solve for m<X:




 (rounded to nearest tenth)
 (rounded to nearest tenth)
 
        
             
        
        
        
Answer:
1200 feet of ribbon
Step-by-step explanation:
2 feet per doll
600 dolls
600 dolls x 2 feet per doll
1200 feet of ribbon for 600 dolls
 
        
                    
             
        
        
        
We are given with two distances: 5,880,000,000,000 miles and 15.8 light-years. we convert first the light-years distance through the speed of light : 3 x 108 m/s. v = d/t; d = 3x10 8 m/s * 15.8 light years * 31536000 s = 1.4948 x1017 m = 9.28829 x 1013 miles. The difference thus is 8.70029 x 1013 miles