Answer: The area of the triangle is 24 square inches
Step-by-step explanation:
Hi, since the 2 triangles form a parallelogram ( see attachment) we have the base and height of the triangles, we have to apply the next formula:
Area of a triangle; (base x height) /2
Replacing with the values:
A = (8x6 )/2
A = 48 /2
A = 24 square inches
The area of the triangle is 24 inches
Feel free to ask for more if needed or if you did not understand something.
Answer:
(-3, 0)
Step-by-step explanation:
Let's solve this system using the elimination by addition/subtraction method. Begin by writing the two equations one above the other:
5x +2y =-15
2x - 2y =-6
Notice that the y terms cancel each other out:
5x +2y =-15
2x - 2y =-6
------------------
7x = -21
Dividing both sides by 7 results in x = -3.
Subbing -3 for x in either of the given equations leads to finding y:
5(-3) + 2y = -15, or -15 + 2y = -15. This results in 2y = 0, or y = 0.
The solution is (-3, 0).
the answer is 4.36yds. 4.36 ×4.36= 19.006
Answer:
Since EF bisects ∠DEF, we know that EF splits ∠DEF in 2 halves from the word 'bisects', which can be written as 'bi- sects' , where bi means 2 and sects means sections
Hence, ∠DEG = ∠GEF --------------(1)
We are given the measure of these angles:
∠DEG = 3x - 4
∠GEF = x + 13
Now, replacing the values in (1):
3x - 4 = x + 13
2x = 17
x = 17/2
Now, finding the measure of ∠DEF:
∠DEF = ∠DEG + ∠GEF
∠DEF = 3x - 4 + x + 13
∠DEF = (51 / 2) - 4 + (17/2) + 13 (x = 17/2)
∠DEF = 34 - 4 + 13
∠DEF = 43°
Answer:
The vertex is (-5,-1)
Step-by-step explanation:
f(x) = 4(x+5)²-1
This is written in vertex form
y = a(x-h)^2 +k where ( h,k) is the vertex
f(x) = 4(x- -5)²-1
H is -5 and k = -1
The vertex is (-5,-1)
