The true statement is (c) No; the slopes of segment EF and segment DF are not opposite reciprocals.
<h3>
Right triangles </h3>
Right triangles have a pair of perpendicular lines
Coordinates
The coordinates are given as:
- D = (-2,-1)
- E = (-2,2)
- F = (0,0)
<h3>Slopes</h3>
Start by calculating the slopes of lines DF and EF using:
So, we have:
Also, we have:
For the triangle to be a right triangle, then the calculated slopes must be opposite reciprocals.
i.e.
By comparison, the slopes of both lines are not opposite reciprocals.
Hence, the true statement is (c)
Read more about right triangles at:
brainly.com/question/17972372
Answer:
y=-1/2x+5
Step-by-step explanation:
a line perpendicular to a given line will have a slope that is the negative reciprocal of the given one. this means the slope of the line perpendicular to the given one would be -1/2.
How I got this: 2 as a fraction would be 2/1, so the reciprocal would be 1/2, but we want the NEGATIVE reciprocal, so we multiply the fraction by -1, which gets us -1/2.
Now we know the slope of the equation that passes through (4,3) which is perpendicular to the given line.
y=-1/2x+b
b is the y-intercept, so we use the point (4,3) and the slope we were given to find out b.
when the point's x value is 0, the y value is the y intercept.
Answer: Tthe tower is 129 feet tall.
Step-by-step explanation:
According to trigonometry in a right triangle:
Let x be the height of the tower.
Given , 
Since tower stands vertical to the ground, that means it is making a right triangle with the shadow.
![\tan 65^{\circ}=\dfrac{x}{60}\\\\\Rightarrow\ 2.1445=\dfrac{x}{60}\ \ \text{[Using calculator]}\\\\\Rightarrow x= 2.1445\times60=128.67\approx129\text{ feet}](https://tex.z-dn.net/?f=%5Ctan%2065%5E%7B%5Ccirc%7D%3D%5Cdfrac%7Bx%7D%7B60%7D%5C%5C%5C%5C%5CRightarrow%5C%202.1445%3D%5Cdfrac%7Bx%7D%7B60%7D%5C%20%5C%20%5Ctext%7B%5BUsing%20calculator%5D%7D%5C%5C%5C%5C%5CRightarrow%20x%3D%202.1445%5Ctimes60%3D128.67%5Capprox129%5Ctext%7B%20feet%7D)
Hence, the tower is 129 feet tall.
Answer:
Equation F can be written as 5b + 1 = 3b + 4.
Step-by-step explanation:
because i got it right and i am big brain
