In the diagram below, line AB is parallel to line CD. The measure of
∠∠ABC is 28° and the measure of ∠∠EDC is 42°. Find the measure of∠∠CED. Explain why you are correct by presenting an informal argument that uses the angle sum of a triangle.

what is the measure of ∠∠CED is ? And Explain why ?

Answer:

ced is 110 degrees

Step-by-step explanation:

because ECD is 28 degrees and 28+42=70 and a triange always = 180 degrees so it would have to be 110

The measure of ∠CED is 110 degrees by angle sum property of the triangle.

We are given that line AB is parallel to line CD.

The measure of ∠ABC is 28° and the measure of ∠EDC is 42°

An exterior angle is a measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacent side which is not extended.

We know that line AB is parallel to line CD.

So according to alternate interior angles measure of ∠ABC is 28° will be equal to BCD.

Thus, Angle BCD= 28 degrees

Hence, in a triangle CED

∠CED + ∠EDC + BCD = 180

∠CED + 28 + 42 = 180

∠CED = 180 - 70

∠CED = 110 degrees

Therefore, the measure of ∠CED is 110 degrees by angle sum property of the triangle.

Learn more about interior and exterior angles here:

https://brainly.com/question/14173422

#SPJ2

What is the input when the output is five?

A) 5
B) 4
C) 7
D) 13

Half a bag of flower seeds can be used to cover an area of 150 square meters. How many square meters can be covered with 14 bags of flower​ seeds?
________square meters can be covered with 14 bags of flower seeds.
​

Wendy mixed 5 parts of orange juice and 2 parts of water to make a drink. How many parts of orange juice did Wendy mix with each part of water?

two over five
five over seven
seven over five
five over two

Cloe charged $18.00 for walking Ms.Jensen's dog 72 times. Choose the correct unit rate in walks per dollar.
A. 4 walks 1 dollar
B. 2 walks 9 dollars
C. 9 walks 8 dollars
D. 8 walks 1 dollar

The area of a parallelogram is given by the formula A = bh where is the base and h is the height. A parallelogram has an area of 312 square centimeters and a base of 26 centimeters. Find the height of the parallelogram in centimeters.

Solve for a in terms of b, c, and d: ab+c=d
Solve for x in terms of p and q: 3x + p = 9

please show work
thanks​

Please look at the attached image to answer the question!

Look at the attached image!

find 49.0625 + 19.7 express your answer in decimal form

2,000 water bottles are being labeled and boxed. Each box holds 6 water bottles. How many bottles will be left over?

I WILL GIVE BRAINIEST

Go to your math tools and open the Graph tool to graph Gwen’s and Keith’s equations. Be sure to remove Tristan’s equation before adding Keith’s equation.


Do the two lines intersect? Why or why not? What does this mean in terms of the situation? If they intersect, at what point do they intersect and what does this point mean in terms of the situation?

gwen’s: y = 100 + 10x

keith's: y = 10x

Which linear function has the greatest y-intercept?

PLEASE HELP! CAN'T FIGURE OUT :((

Lauren sold 140 boxes of cookies. 60% of the boxes of cookies were sold to people her dad works with. Of these boxes, 1/4 of the boxes of cookies contained mint. How many boxes of mint cookies did Lauren sell to people her dad worked with?


A. 84

B. 56

C. 21

D. 14

James estimated the total cost of groceries to be $50. The actual cost of the groceries is $65. What is the percent error? Round your answer to the nearest whole percent. Enter your answer in the box. ____

Help please my parents said if I get good grades they were going to buy me a phone for Christmas please help

Given circle P centered at the origin, with a radius of 4 units. Circle P is not a function domain : -4 ≤ x ≤ 4 f(0) = 0 Circle P is a function. x2 + y2 = 16

I just need someone to answer these questions in order please

a lawn with an area of 300 square feet needs 1/2 pound of grass seed. how many pounds of grass seed are needed for a lawn that is 60 feet long and 20 feet wide

A. 2
B. 4
C. 6
D. 8

pls help meee pls

20 points need real answer

​

Which of the following pairs of items is a better​ buy?
a. a​ 6-pack of paint brushes for​ $12.99 or 1 paint brush for​ $2.19
b. 10 exercise classes for​ $150 or 5 exercise classes for​ $64.99
c. a​ 12-pack of paper plates for​ $2.29 or a​ 25-pack of paper plates for​ $4.99
d. a single putty knife for​ $1.29 or a​ 15-pack of putty kniv

PLS HELP

Identify the parts in the expression below:

2x² + x +4

Number of Terms:

Two data sets are summarized in the box plots shown

Plz help
Place the signs to explain the following relationships.
|-13| ______ | 11| 1.66 ________1.8 -2.6 _______ -2.1

In a survey of 420 people, 85% said they drink coffee. 1/3 of the people said they drink their coffee black. How many of the surveyed people drink their coffee black?

what is -87 + (-971)=

I need help plz and thank you

Write your own problem about money or elevation that uses a number and its opposite Solve the problem Then explain what 0 means in your problem. Solve the problem. Then explain what zero means in your problem

Elena has some bottles of water that each holds 17 fluid ounces. Write and equation that relates the number of bottles of water (b) to the total volume of water (w) in fluid ounces??

A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation? 2y = 16x +14 y = 8x – 7 y = –8x + 7 2y = −16x − 14

Please Help, this is times, i will make BRAINLIEST if correct.

The value of a car decreases by 20 percent per year. Mr. Sing purchases a $22,000 automobile. What is the value of the car at the end of the second year?
A- $14,080
B- $17,600
C- $19,800
D- $26,400