In the diagram below, AB | CD, AD || BC, mZCDE = 45° andmZC = 73º. Find mZADE.
450
B
E
А
Answers
Answer:
The measure of angle ADE is equal to 62 degrees.
Step-by-step explanation:
Firstly, I want to remind you that the sum of the interior angles in a quadrilateral are 360 degrees. Now, we are given that CD || BA and CB || DA, which means that this quadrilateral is a parallelogram. This is important because we know that the opposite angles in a parallelogram are congruent, which means that angle C is congruent to angle A and angle B is congruent to angle D. Therefore, the measure of angle A is also 73 degrees. Next, we can represent angle D as x, which means that angle B is equal to x, so the sum of angle D and B is 2x. Finally, we can set up an equation where we solve for the value of x, and then subtract it with 45 degrees:
2x + 2(73) = 360
2x + 146 = 360
2x = 214
x = 107 = B = D
Now, we can subtract the measure of angle D with 45 degrees to get the measure of angle ADE:
ADE = 107 - 45
ADE = 62
Related Questions
Please help!! Will give 20 points!
Pleaseeeeee i will mark you brilll
Graph the line with slope 1/2 passing through the poin
A triangle has sides with lengths of 8 kilometers, 13 kilometers, and 16kilometers. Is it a right triangle?
Answers
Answers
Answer:
The standard unemployment rate is of 0.0794 = 7.94%.
Step-by-step explanation:
The standard unemployment rate, as a proportion, is the number of unemployed people divided by the size of the labor force.
In this question:
Labor force: 189 million
Number of unemployed people: 15 million
What is the standard unemployment rate?
15/189 = 0.0794
The standard unemployment rate is of 0.0794 = 7.94%.
Answers
Answer:
the correct answer is marked (1/2)
Step-by-step explanation:
The average rate of change is the slope of the line between the two points at the ends of the interval.
m = (g(3) -g(-4))/(3 -(-4))
The values of the function we need are ...
g(3) = 5/(3-1) +2 = 2.5 +2 = 4.5
g(-4) = 5/(-4-1) +2 = -1 +2 = 1
So, the slope is ...
m = (4.5 -1)/7 = 3.5/7 = 1/2
The average rate of change is 1/2.
_____
On the attached graph, that value shows up as the coefficient of x in the equation of the line through the two points.
Answers
Answer:
x + 3.5
Step-by-step explanation:
You are adding
hopefully this helps you:)
b) What is the minimum and maximum number of people that are on neither of these teams?
Let x = number of individuals both in basketball and football
c) Draw a Venn diagram to illustrate this
Answers
Answer:
a) min: 0; max: 21
b) min: 34; max: 55
Step-by-step explanation:
In the attached Venn diagrams (part c), the overlap of the two circles represents the number on both teams.
a) In the top diagram, there is no overlap, so the number on both teams is 0.
In the bottom diagram, there is complete overlap between the teams, so the maximum number that play both sports is 21 (the minimum team size of the two teams).
both teams minimum: 0; maximum: 21
__
b) The number on neither team is the number outside both circles. The minimum number will correspond to the case where there is no overlap between teams. In that case, there are 66 team players, so 34 people who are on neither team.
The maximum case is that where the teams completely overlap, so the number not on either team will be those not on the football team: 55 people.
neither team minimum: 34; maximum: 55
Answers
Answer:
a. $849.45
Step-by-step explanation:
In the above question, we are given the following information
Coupon rate = 10%
Face value = 1000
Maturity = n = 20 years
t = number of periods = compounded semi annually = 2
Percent yield = 12% = 0.12
Bond Value formula =
C/t × ([1 -( 1/ 1 + r/t)-^nt ÷] r/t) +( F/ (1 + r/t)^nt)
C = coupon rate × face value = 10% × 1000 = 100
Bond value:
= 100/2 × ( [1 - (1 /1 + 0.12/2)^-20×2]÷ 0.12/2)+ (1000/( 1 + 0.12/2)^20×2
= 50 × ( [1 - (1 /1 + 0.06) ^40] ÷ 0.06) + ( 1000/ (1 + 0.06) ^40
= 50 × ( [1 - (1/ (1.06) ^40] ÷ 0.06 ) + (1000/(1.06)^40)
= 50 × 15.046296872 + 97.222187709
= $849.45
Bond value = $849.45