Answer:
x = 30°.
Step-by-step explanation:
The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.
The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.
The largest triangle includes three angles:
- The angle with the center of the circle as its vertice: 60°;
- The right angle due to the tangent to the circle: 90°;
- The angle x°.
What is the value of x?
The three interior angles of a triangle add up to 180°. As a result,
60° + 90° + x° = 180°
x = 180 - 90 - 60 = 30.
Answer:
4/-5
Step-by-step explanation:
To answer this question you would start with 1 whole piece and break it into 4 equal pieces. Each piece would be 1/4 of the original.
If you used 3 of these, you are left with 1/4.
Out of the 1/4 leftover, you create 5 equal-sized pieces.
1/4 divided by 5.
1/4 x 1/5 = 1/20 of the original board for each.
Answer:
you will earn $30
Step-by-step explanation:
The slope is the change in y-axis to x-axis of a graph. The slope of the line given is -10
<h3>How to find the slope of a line?</h3>
The standard equation of a line in slope intercept form is given as y = mx+b
where
- m is the slope
- b is the y-intercept
Given the equation y = -10x - 2
Compare
mx = -10x
m = -10
Hence the slope of the line given is -10
Learn more on slope here: brainly.com/question/3493733
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