Geometry Help please?

Mathematics

1 answer:

Kipish [7]2 years ago

3 0

Look at side AB.
The slope is -1/4.

Look at side BC.
The slope is 4.

The product of -1/4 and 4 is -1. That makes segments AB and BC perpendicular and angle B a right angle. That makes triangle ABC a right triangle.

You might be interested in

Lim ln(tan x) as tends to pi/2 from the left

ioda

Let $x=\arctan y$ . Then $\tan x=y$ , and so as $x\to\dfrac\pi2^-$ , you have $y\to+\infty$ . The limit is then equivalent to

$\displaystyle\lim_{x\to\frac\pi2^-}\ln(\tan x)=\lim_{y\to\infty}\ln y=\infty$

3 0

2 years ago

What is the radius of a sphere if its surface area is 2,122.64 square inches? (Use 3.14 for π.) 11 in. 13 in. 121 in. 169 in.

crimeas [40]

To solve this, we are going to use the surface are of a sphere formula: $A=4 \pi r^2$
where
$A$ is the surface area of the sphere
$r$ is the radius of the sphere

We know for our problem that $A=2122.64$ and $\pi =3.14$ , so lets replace those vales in our formula:
$A=4 \pi r^2$
$2122.64=4(3.14)r^2$
$2122.64=12.56r^2$
Now, we just need to solve our equation for $r$ :
$\frac{2122.64}{12.56} =r^2$
$r^2=\frac{2122.64}{12.56}$
$r^2=169$
$r=+or- \sqrt{169}$
$r=13$ or $r=13$
Since the radius of a sphere cannot be a negative number, $r=13$ .

We can conclude that the radius of a sphere with surface area <span>2,122.64 </span> $in^2$ is 13 in.

3 0

2 years ago

A line with a slope of -1/2 passes thru the point (-4,3)...Which equation represents this line?

BaLLatris [955]

Here you go!! Hope this helps!!!!