we know that
the two triangles in the figure are similar, because they have three equal angles
therefore
The ratio of the corresponding sides are equal
therefore
<u>the answer is the option C</u>
What is the hypothenuse of a right triangle with bases 13cm and 5cm?
1 answer:
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The length of the rectangle in #7 is 18 ft
I cannot see which region is shaded so I will solve for both:
1.
the radius of one circle is 3:
A=
A=(3.14)(9)
A=(28.26)
The area of the three circles is 84.78 feet squared
Area of rectangle is 108 feet squared (16*8)
108-84.78=23.22
The area of the shape around the circles is 23.22 feet squared
2:
The area of 1 circle is 28.26
The area of 3 circles is 84.78 feet squared
The area of the circles in the rectangle is 84.78 feet squared.
I cannot see which region is shaded so I will solve for both:
1.
the radius of one circle is 3:
A=
A=(3.14)(9)
A=(28.26)
The area of the three circles is 84.78 feet squared
Area of rectangle is 108 feet squared (16*8)
108-84.78=23.22
The area of the shape around the circles is 23.22 feet squared
2:
The area of 1 circle is 28.26
The area of 3 circles is 84.78 feet squared
The area of the circles in the rectangle is 84.78 feet squared.
To solve either part of this problem, you first need to find the slope of the line. You can do this using the slope formula . In this problem, y2=2, y1=7, x2=1, and x1=-4. Plug those values into the slope formula to find the slope.
The slope of the line is -1.
For the first part of the question, you need to create the point-slope equation. Point-slope equations follow the model (y-y)=m(x-x), where m is the slope and x and y are coordinates.
We know the slope is -1. To find the coordinates, take x and y from one of the ordered pairs (it doesn't matter which, but you cannot take x from the first one and y from the second). We'll use the first one: (-4, 7).
The point-slope equation is (y-7)=-1(x+4).
The x is "plus" because the coordinate is negative, and subtracting a negative number is the same as addition.
To find the slope-intercept form, you can use the point-slope equation and solve for y. Start by distributing the -1. The equation becomes:
y-7=-x-4
Next, add 7 to both sides. It becomes:
y=-x+3
Slope-intercept form follows the model, y=mx+b, where m is the slope and b is the intercept. y=-x+3 matches this model because -1 is the slope and 3 is the intercept.
The slope-intercept equation is y=-x+3.
Hope this helps and makes sense!