The value of x from the given equation is 5/3
<h3>How to determine the value</h3>
Since the three points are collinear to U, they are on a straight line which equals 0
Then we have,
UM + UD = MD
5x+30 + 10x+20 = 3x+80
Collect like terms
5x + 10x + 50 = 3x + 80
15x - 3x = 80 - 50
12x = 30
x = 30/12 = 15/6 = 5/3
Thus, the value of x from the given equation is 5/3
Learn more about collinear points here:
brainly.com/question/18559402
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Answer:
<DAB = 120
Step-by-step explanation:
7)
<DAB = ?
<DAB + <DCB = 180
so
16x + 8 + 8x + 4 = 180
24x + 12 = 180
24x = 168
x = 7
<DAB = 16(7) + 8 = 120
Answer:
40
Step-by-step explanation:
here is a trig calculator
http://www.carbidedepot.com/formulas-trigright.asp
#9. There are 180 degrees in a triangle. We already know two of the sides which added together make 112. Then we do, 180-112=68
#10. We do the same process. 90 + 60 = 150
150-180= 30
#11. To find whether or not any three numbers can make a triangle, two of the numbers must equal more than the remaining number. But this has to be the case for any combination. 6+7=13. 13 is larger than 11. So yes it can.
#12. 8+2=10 which may be bigger than 6 but, 6+2=8. Which is equal to 8. So no, it cannot make a triangle.
I’m still working out the first question
Answer:
D
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ BCD is an exterior angle of the triangle, thus
∠ BCD = 50° + 60 = 110° → D
