If the two angles are congruent then d=b , e=a , and f=c. That means that EF=AC so the equation is x-5=15. so x=20. Hope this helps!!!
Answer:
The value of k will be -4
Step-by-step explanation:
We have given polynomial 
It is given that x+1 is factor of the polynomial
And we have to find the value of k
As x+1 is the factor of polynomial so x+1 = 0 that is x = -1 will be the root of polynomial
So if we put x = -1 in the polynomial then the p(-1) will be zero
So 

So the value of k will be -4
Answer:
A.The scale factor is 0.25 ⇒ <u>True</u>
B.The scale factor is 4 ⇒ <u>False</u>
Step-by-step explanation:
<u>See the attached figure.</u>
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
A dilation that creates a smaller image is called a reduction.
As Shown, two right triangles, The first triangle is dilated to form the second triangle.
We can deduce that the second image is a smaller than the first triangle.
The hypotenuse of the first triangle = 4.4
The hypotenuse of the second triangle = 1.1
So, the scale factor = 1.1/4.4 = 11/44 = 1/4 = 0.25
<u>We will check the options:</u>
A.The scale factor is 0.25 ⇒ True
B.The scale factor is 4 ⇒ False
It means you are a certain kind of Buddha’s
Answer:
336 squirrels
Step-by-step explanation:
-This is a Mark-Recapture method.
-The population is estimated using the formula:

where:
- N-is the estimated population size.
- M-is the number of individuals tagged
- C- is the total number captured the second time(both tagged and untagged)
- R-is the total number of tagged individuals recaptured.
#We substitute our values as follows to estimate N:

Hence, there are approximately 336 squirrels in the conservation area.
*population is always rounded up to the next whole number.