Answer:
m∠DEC = 78°
Step-by-step explanation:
Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.
If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.
AC = AD (Given)
According to the angle sum property, the sum of interior angles of a triangle is 180°.
Divide both sides by 2.
CE bisects ∠ACD.
Use angle sum property in triangle CDE,
Subtract 102 from both sides.
Therefore, the measure of angle DEC is 78°.
Answer:
Triangle ABC is isosceles, with AC = BC. Angle ACD= 620 BCD is a straight line. 180-118=62 62:2-31 x= 31.
Step-by-step explanation:
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hope it helps
Answer:
Step-by-step explanation:
It is given that a box contains 2 dozen pairs of contact lenses ,of which 8 pairs are tinted.
1 dozen = 12 units
Total pairs of contact lenses 
Tinted pairs of contact lenses = 8
Pairs of contact lenses not tinted = 24 - 8 = 16
If a pair of contact lenses is drawn at random from the box, then we need to find the probability that it is not tinted.
Therefore, the required probability is
Hello,
In order for lines to be parallel to each other, they need to have the same slope. So, let's plug in the points and slope for point-slope form.
The equation for point-slope form is: y-y1 = m (x-x1)
Let's plug in the points into the equation.
y-5 = m (x-0), and then let's plug in the slope for "m" : y-5 = 3 (x-0).
After plugging the numbers in, the equation is simplified to y-5 = 3 (x-0). Then distribute the 3 to the parenthesis. y-5 = 3x. To get y by itself, you need to add 5 to both sides. After that, the equation parallel to that equation is: y = 3x + 5.
Hope this helps! =)
Answer: 684
Step-by-step explanation:
95% of 720
Move decimal point two places to the right.
0.95 * 720 = 684
