The answer is -7
I hope this helps
Answer:-1/3
Step-by-step explanation: I really don’t know
The angles ABM and MBC sum to the measure of angle ABC. Let's create an equation to model the problem.
ABM + MBC = ABC
Let's plug our values into the variables.
ABM + 150 = 171
Let's solve for ABM. Subtract 150 from both sides.
ABM = 21
The boundary for the first inequality: y> x+3 is the line y=x+3 and will be excluded (dashed) from the highlighted area because of the absence of equality sign.
The boundary for the second inequality: y <= 3x-3 is the line y=3x-3, and will show in solid because of the presence of the equal sign.
Please see the image attached showing your original graph with the first inequality in blue, the second in red. Note the y intercepts highlighted by a dot, and also verify the slopes: 1 and 3, respectively.
The solution to the system if inequalities is the area with both shadings overlapping.
Let me know if you have questions.
The question is not well presented and the question also requires an attachment which is missing. See complete question below
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a. 12/24 = 18/16 = ½
b. 12/18 = 16/24 = ⅔
c. 12/16 = 18/24 = ¾
d. 18/12 = 24/16 = 3/2
Answer:
c. 12/16 = 18/24 = ¾
Step-by-step explanation:
Given
Two similar triangles
Required
Ratio of corresponding sides
To solve questions like this, you have to make comparisons between the similar sides of the triangle.
From the attached file,
Side PQ is similar to Side AB
And
Side QR is similar to Side BC
Also from the attached file
PQ = 12 and QR = 18
AB = 16 and BC = 24
Now, the ratio can be calculated.
Ratio = PQ/AB or QR/BC
Ratio = PQ/AB
Ratio = 12/16
Divide numerator and denominator by 4
Ratio = ¾
Or
Ratio = QR/BC
Ratio = 18/24
Divide numerator and denominator by 6
Ratio = ¾.
Combining these results
Ratio = 12/16 = 18/24 = ¾
Hence, option C is correct