Answer:
45°
4 units
Step-by-step explanation:
Rotation changes nothing about the geometric relationships within the figure. Angle measures are unchanged; side lengths are unchanged.
The acute angles of an isosceles right triangle are (180° -90°)/2 = 45°. This is true regardless of the orientation of the triangle with respect to any coordinate axes.
The measures of the legs of your triangle are 0 -(-4) = 4 = (1 - (-3)). Rotating the figure any amount in any direction around any center doesn't change that.
Answer:
x = 25 degrees
Step-by-step explanation:
So we know that the 4x, 2x + 10°, and x - 5° and the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180°.
Using this, we can conclude that the sum of 4x, 2x + 10°, and x - 5° is equal to 180°.
We can write this information as the equation:
4x + (2x + 10) + (x - 5) = 180
We can use this equation to find the value of x. To find the value of x by using the equation, we need to solve for x (put the equation into the form x = _).
Solve for x:
4x + (2x + 10) + (x - 5) = 180
4x + 2x + 10 + x - 5 = 180
Combine like terms.
7x + 5 = 180
Subtract 5 from both sides to get rid of the +5 on the left side.
7x = 180 - 5
Simplify.
7x = 175
Divide both sides by 7 to get rid of the coefficient of 7 on the left side.
x = 175 ÷ 7
Simplify.
x = 25.
x would be equal to 25°.
x = 25 degrees
I hope you find this helpful. :)
Reverse the sign of each term you are subtracting and then add as usual. Hope this helps!
<h2>
9 units²</h2><h3>
is the correct answer!</h3><h3>
</h3><h3>Area of a triangle formula: A =
bh</h3><h3 /><h3>The area of the triangle above the x-axis:</h3><h3>2 x 3 = 6</h3><h3>6 ÷ 2 = <u>3</u></h3><h3 /><h3>The area of the triangle below the x-axis:</h3><h3>2 x 6 = 12</h3><h3>12 ÷ 2 = <u>6</u></h3><h3 /><h2>3 + 6 = 9</h2><h3 /><h3><em>Please let me know if I am wrong.</em></h3>