Let's start with #3.

To find the variable y, we know that it is supplementary to an angle that is 38 degrees, meaning that it measures (180-38) degrees, which is equal to 142 degrees.

To find the variable x, we know that in relation to the angle labeled 38 degrees, angle x is a vertical angle, and all vertical angles are congruent, or have the same measure. Thus, the variable x equals 38 degrees.

So the answer to #3 is d. x = 38, y = 142.

Now, let's move on to #4

The diagram shows a right angle which measures 90 degrees (designated by the square symbol), an angle that measures x degrees, and an angle that measures 56 degrees. We can assume from the diagram that the sum of all of these angles equals a straight angle, or 180 degrees.

Thus, 180 = 90 + 56 + x. When this equation is solved, x = 34.

Therefore, the answer to #4 is a. x = 34

8 0

4 years ago

Jasmine is baking and selling cupcakes for $15 per dozen.She would like to make more than $120 in cupcake sales. Which number li

pishuonlain [190]

Answer:

Step-by-step explanation:

Jasmine is baking and selling cupcakes for $15 per dozen.

Let x be the number of dozens of cupcake made by Jasmine.

Her total sales= Sales Per Dozen X Number of Dozens of cupcake sold

= $15 X x = $15x

Since she would like to make more than $120 in cupcake sales.

It means her total sales must be greater than $120.

15x>120

x>120/15

x>8

The number line attached represents the solutions to the situation.

All integers to the right of 8 (excluding 8) satisfies the situation.

3 0

3 years ago