Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
5x + 7 + 4x + 2 + 90 = 180 , that is
9x + 99 = 180 ( subtract 99 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Then
∠ ACB = 4x + 2 = 4(9) + 2 = 36 + 2 = 38°
∠ BAC = 5x + 7 = 5(9) + 7 = 45 + 7 = 52°
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Since the triangles are congruent then corresponding angles are congruent , so
∠ B = ∠ E
6x + 10 = 70 ( subtract 10 from both sides )
6x = 60 ( divide both sides by 6 )
x = 10
Answer:
the height from the ground to the window is 96
Answer:
The tree is 12 feet tall
Step-by-step explanation:
Let a represent the length of where the bird was sitting to the oak tree
let b represent the height of the tree
let c represent the length at which the bird flew
by pythagoras theorem
c²=a²+b²
b²=c²-a²
subtitute in the values
Hello:
<span>an = 2an-1 + 5, where a1 = 5
n =2 a2 = 2a1 +5 = 2(5)+5 = 15
</span>n =3 a3 = 2a2 +5 = 2(15)+5 = 35
n =4 a4 = 2a3 +5 = 235)+5 = 75
answer :
<span>B)
5, 15, 35, 75, ...</span>
Answer:
0.771, 0.772, 0.773
Step-by-step explanation:
three numbers between 0.77 and 0.78
0.77 = 0.770
and
0.78 = 0.780
So,
0.770, 0.771, 0.772, 0.773, 0.780
= 0.77, 0.771, 0.772, 0.773, 0.78
