Answer:
The triangle ABC is an isosceles right triangle
Step-by-step explanation:
we have
The coordinates of triangle ABC are
A (0, 2), B (2, 5), and C (−1, 7)
we know that
An isosceles triangle has two equal sides and two equal internal angles
The formula to calculate the distance between two points is equal to
step 1
Find the distance AB
substitute in the formula
step 2
Find the distance BC
substitute in the formula
step 3
Find the distance AC
substitute in the formula
step 4
Compare the length sides
therefore
Is an isosceles triangle
Applying the Pythagoras Theorem
substitute
-----> is true
therefore
Is an isosceles right triangle
Answer:
9x+3.45
Step-by-step explanation:
Let's simplify step-by-step.
6x+3(x+1.15)
Distribute:
=6x+(3)(x)+(3)(1.15)
=6x+3x+3.45
Combine Like Terms:
=6x+3x+3.45
=(6x+3x)+(3.45)
=9x+3.45
Answer:
After reflection over the x-axis, we have the coordinates as follows;
A’ (5,-2)
B’ ( 1,-2)
C’ (3,-6)
Step-by-step explanation:
Here, we want to find the coordinates A’ B’ and C’ after a reflection over the x-axis
By reflecting over the x-axis, the y-coordinate is bound to change in sign
So if we have a Point (x,y) and we reflect over the x-axis, the image of the point after reflection would turn to (x,-y)
We simply go on to negate the value of the y-coordinate
Mathematically if we apply these to the given points, what we get are the following;
A’ (5,-2)
B’ ( 1,-2)
C’ (3,-6)
Answer:
70.7 deg, 19.3 deg
Step-by-step explanation:
The sum of the measures of complementary angles is 90 deg.
One angle measures x.
The other angles measures 51.4 deg less than x, or x - 51.4.
The sum of their measures equals 90.
x + x - 51.4 = 90
2x - 51.4 = 90
2x = 141.4
x = 70.7
x - 51.4 = 70.7 - 51.4 = 19.3
Answer: 70.7 deg, 19.3 deg
Answer:
50
Step-by-step explanation:
your expression: 2j²
plug in j = 5: 2(5)²
solve for the exponent: 2(25)
multiply: 50
