In the figure shown, ABCD is a square and triangle CDE is equilateral. What is the degree measure of angle CBE?

angle CBE=15 degrees

Step-by-step explanation:

angle ECD is 60 degrees and EC=CD because equilateral triangle

angle DCB is 90 degrees and CB=CD because square

angle ECD +angle DCB= angle ECB

60+90=150=angle ECB

since triangle ECB has legs EC and CB  equal in length, then it is an isosceles triangle.

so angles CBB and CBE are equal

angle CBE=(180-150)/2

angle CBE=15 degrees

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.