Answer:
C) They are perpendicular lines.
Step-by-step explanation:
We first need to find the slope of the graph of the lines passing through these points using:

The slope of the line that passes through (−12, 15) and (4, −5) is


The slope of the line going through (−8, −9) and (16, 21) is



The product of the two slopes is

Since

the two lines are perpendicular.
The decimal 0.5<span> represents the </span>fraction<span> 5/10. The decimal 0.25 represents the </span>fraction<span> 25/100. Decimal </span>fractions<span> always have a denominator based on a power of 10. We know that 5/10 is equivalent to 1/2 since 1/2 times 5/5 is 5/10.</span>
Answer:
Step-by-step explanation:
4/3 = t/7
Multiply by 7 on both sides
4/3 x 7 = t
28/3 = t
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(2x+23)+(9x-5)=95
11x+18=95
x= 95-18/11
x=7
therefore substituting value of x in the given equations of angles:
angle ABD = 2(7)+23=37°
angle DBC = 9(7)-5= 58° Answer
to verify = 37°+58°= 95° ( which was given)