Answer:
x = 120
y = 30
Step-by-step explanation:
Given that RST is equilateral, each of its interior angles will be 60 degrees
Looking at x, it lies on a starting line with one of the interior angles of RST
The sum of angles on a straight line is 180
Thus;
x + 60 = 180
x = 180-60
x= 120
Looking at triangle RSU, the markings indicates that we have an isosceles triangle
For an isosceles triangle, the base angles are equal in value
This means that SRU is also y
Mathematically, the sum of angles in a triangle is 180
Hence;
x + y + y = 180
x + 2y = 180
120 + 2y= 180
2y = 180-120
2y = 60
y = 60/2
y = 30
Answer:
"I Only" is the correct answer
Step-by-step explanation:
Given inequality is:
-10>3x-6
In order to check which numbers are solution to the given inequality, we will put each number one by one in the inequality. If the inequality is true after putting the number, the number is the solution of the inequality.
So,
<u>I . -10</u>
Putting -10 in the inequality

The inequality results in true after putting x=-10 so -10 is the solution of inequality.
<u>II. 5</u>
Putting 5 in the inequality

The equality doesn't hold true for x=5 so 5 is not the solution of the problem.
<u>III. -1</u>
Putting -1 in the equation

Inequality doesn't hold true for x=-1 so it is not the solution of the inequality.
Hence,
"I Only" is the correct answer as only -10 is the solution of inequality.
Answer:
D 85/95
Step-by-step explanation:
17/19
Multiply the top and bottom by 3
17/19 *3/3 =51/57
Multiply the top and bottom by5
17/19 *5/5 =85/95
Answer:
93
Step-by-step explanation:
The absolute value of any number will always be positive. Therefore, it is automatically 93.