Answer:
<h2>b. 40 yd²</h2>
Step-by-step explanation:
We have the square and the right triangle.
The formula of an area of a square:
a - length of side
The formula of an area of a right triangle:
a,b - legs
We have:
SQUARE:
a = 4 yd
RIGHT TRIANGLE:
a = 6 yd, b = 4 yd + 4 yd = 8 yd
The area of the figure:
Answer:
The largest angle will be °
Step-by-step explanation:
Given the ratio of the measures of the angles of triangle is
Let the angle of the triangle be
Also, we know the sum of interior angle of any triangle will be equal to degrees.
So, we can write an equation
Now, we are told to find the largest angle.
We can see the is largest among .
So, the largest angle will be °
If points f and g are symmetric with respect to the line y=x, then the line connecting f and g is perpendicular to y=x, and f and g are equidistant from y=x.
This problem could be solved graphically by graphing y=x and (8,-1). With a ruler, measure the perpendicular distance from y=x of (8,-1), and then plot point g that distance from y=x in the opposite direction. Read the coordinates of point g from the graph.
Alternatively, calculate the distance from y=x of (8,-1). As before, this distance is perpendicular to y=x and is measured along the line y= -x + b, where b is the vertical intercept of this line. What is b? y = -x + b must be satisfied by (8,-1): -1 = -8 + b, or b = 7. Then the line thru (8,-1) perpendicular to y=x is y = -x + 7. Where does this line intersect y = x?
y = x = y = -x + 7, or 2x = 7, or x = 3.5. Since y=x, the point of intersection of y=x and y= -x + 7 is (3.5, 3.5).
Use the distance formula to determine the distance between (3.5, 3.5) and (8, -1). This produces the answer to this question.
Rounded to the nearest tenth, your answer is 95.7