The question provides the measures of two angles, (one of which contains
a variable), and the relationship between the angles.
The value of <em>x</em> is <u>6 degrees</u>
Reason:
The given parameters are;
The base angles of the isosceles triangles are; 61° and (7·x + 19)°
Required:
To find the value of <em>x</em>
<em />
Solution:
By definition of an isosceles triangle, we have;
The base angles of an isosceles triangle are equal, therefore;
(7·x + 19) = 61
Which gives;

The value of<u> </u><u><em>x</em></u><u> = 6</u>
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Answer: There are 17 quarters.
Step-by-step explanation:
Let x = Number of quarters and Number of nickels =x+16
∵ 1 nickel = $0.05, 1 quarter = $0.25
value of x quarters = 0.25 x
value of x+16 nickels = 0.05(x+16)
Then, as per given,

Hence, there are 17 quarters.
Answer:
The x-intercepts as shown on this graph are: (-3,0), (1,0), and (3,0). The y-intercept as shown on this graph is: (0,2).
Step-by-step explanation:
The intercepts refer to where the function intersects with either the x-axis or y-axis. Since the line crosses the y-axis at (0,2), that's the y-intercept. The same thing applies to the x-intercepts. On this graph, it's easier to identify because the intercepts are marked with dots.
Answer:
120 degrees
Step-by-step explanation:
Since the total degree measure of a circle is 360 degrees, if a part of it is 240 degrees, then the rest is 360-240=120 degrees. Hope this helps!
Given:
A line passes through the points (4,2) and (-16, -10).
To find:
The slope of the line.
Solution:
Slope Formula:

A line passes through the points (4,2) and (-16, -10). So, slope of the line is



Therefore, the slope of the line is
.