Answer:
<em>Angle C is equal to 30.</em>
Step-by-step explanation:
To find angle C, we have to find all the other angles first. They tells us the B ~= BAD ~= ADC. So, if we find ADC, we've found B and BAD as well. ADC is just 180 - 70 (the angle of ADE), which is 110. So, ADC, BAD, and B are equal to 110.
Remember, angles in a quadrilateral add up to 360. So, add all of the values of angles be have now and subtract from 360:
360 - (110 + 110 + 110)
360 - 330 = 30
Angle C should be equal to 30.
Hope this helped!
Answer:
1/380
Step-by-step explanation:
<u>Probability of Bob's name drawn first is:</u>
- 1/20 as there are 20 people with equal chance
<u>And probability of Laquisha's name drawn second is: </u>
- 1/19 as there are 19 people left with equal chance
<u>Probability of the two events happening is: </u>
- 1/20*1/19 = 1/380 product of individual probabilities
Answer:
The sum of the interior angles in a triangle is always 180. So, if two angles sum up to 136 degrees, the remaining angle must complement to 180, and it must be
180-136=44
degrees
Step-by-step explanation:
Answer:
one gift was $6.40 and the other was $19.20
Step-by-step explanation:
Answer:
(2,0)
Step-by-step explanation:
For given line AB:
y-intercept = b = -2
slope = m = y₂-y₁/x₂-x₁
= -3/2-(-4) = -3/6 = -1/2
Equation of line AB:
y = (-1/2)x - 2
Finding equation of line that is parallel to line AB and passes through the point C(2,2):
Substituting the slope from line AB into the equation of the line
y = (-1/2)x + b.
Substituting the given point (-2,2) into the x and y values 2 = (-1/2)-2 + b.
Solving for b (the y-intercept)
, we get b = 1
Substitute this value for 'b' in the slope intercept form equation y = (-1/2)x + 1.
For x-intercept of the line, we let y = 0
0 = (-1/2)x + 1
x = -1(-2/1)
x = +2
So, the point on the x-axis that lies on the line that passes
through point C and is parallel to line AB is (2,0).
