Step-by-step explanation:
<h3>stay safe healthy and happy.</h3>
Answer:
A. ΔDGH ≅ ΔFEH
Step-by-step explanation:
We are given the proof of GH ≅ EH and DH ≅ FH.
Now, previous to step 7, we have obtained,
Step 5: ∠HGD ≅ ∠HEF and ∠HDG ≅ ∠HFE
Step 6: DG ≅ EF as opposite sides of a parallelogram are congruent.
<em>Since, we have that two angles of the triangles are congruent and their including sides are also congruent.</em>
Thus, by Step 7 i.e. ASA criterion for congruence, we get that the corresponding triangles are also congruent.
Hence, we get, ΔDGH ≅ ΔFEH.
Answer:
(-∞, ∞).
Step-by-step explanation:
f(x) = is a polynomial function, so the domain is all real numbers (you can enter any value of x and i till return a valid y value). In interval notation is (-∞, ∞).
Answer:
The perimeter of rectangle is
Step-by-step explanation:
Let
x-----> the length of the rectangle
y----> the width of the rectangle
we know that
----> equation A
---> equation B (area of the constructed figure)
substitute the equation A in equation B
using a graphing tool -----> solve the quadratic equation
see the attached figure
The solution is
Find the value of x
---->
Find the perimeter of rectangle
Answer:
A. 76
B. x^2 +21x + 96
C. x^2 - 9x + 6
Step-by-step explanation:
For this problem, just plug in the number in f(x) for x in the function.
A. f( 5 ) -> Plug in 5 for every x and then simplify
(5)^2 + 9(5) + 6
= 25 + 45 + 6
= 76
B. f( x+6 ) -> Plug in (x+6) for every x and then simplify
(x+6)^2 + 9(x+6) + 6
x^2 + 12x +36 + 9x+ 54 + 6
x^2 +21x + 96
C. f( -x ) -> Plug in -x for every x and then simplify
(-x)^2 + 9(-x) + 6
x^2 - 9x + 6