Answer:
y= 3
Step-by-step explanation:
The triangle on the left is a right triangle, so we can use trig functions to solve for the missing side, y.
First, find the length of the side that both triangles are connected to.
tan30=x/9
Isolate the x variable and solve.
9(tan30)=x
x= 5.19615
Now use the Pythagorean Theorem to solve for the side length, y.
a^2+ b^2 = c^2
(5.19615)^2+ b^2= 6^2
c= 3
A circle is a set of points in a plane equidistant
from a fixed point. It has a general formula of x² + y² = r². This is if the
center is at the origin. However, if the center at point h and k, the
equation becomes (x-h)² + (y-k)² = r².<span>
We write the given equation in the
form (x-h)² + (y-k)² = r² by completing the square.
</span>
<span>x</span>²<span> + y</span>²<span> + 10x – 6y + 18 = 0</span>
<span>
(x² + 10x + 25 )+ (y² - 6y + 9) = −18 + 25 + 9 = 16
(x + 5)² + (y + 3)² = (4)²
Therefore,
center = (-5, -5)
radius = 4</span>
Answer:
Yes and SSS
Step-by-step explanation:
Let’s write down the ratios to figure out the first question:
RP:MN=5:3
NP:ML=10:6
RN:LN=15:9
Notice that we can simplify all of those ratios to 5:3. That means that the sides are all similar, so yes, the triangles are similar.
For the second question: They are similar by because all sides are similar in the same ratio. That means that they are similar by the SSS similarity.
Hope that helps
What
????????????????????
Answer:
See answer above.
Step-by-step explanation:
These are the ordered pairs on the graph: (-2, 5), (2, 3), (-3, -2), (0, -5), (3, -6)
The domain is the first point in teach ordered pair and the range is the second number in the ordered pair.
So the domain is {-2, 2 , -3, 0, 3}
Range is {5, 3, -2, -5, -6}
