Hope this will help you .
answer is 68
given than 2 sides are equal therefor 2 angles are also equal ,
so, angle 1 + angle2 + angleX = 180 [ASP]
2angle1 + angle X = 180
angle x = 150 - [56][2]
angle x = 180-112
ANGLE x = 68 DEGREE
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The <em>correct answer</em> is:
6 balloons.
Explanation:
Let x represent the number of balloons purchased.
We will call the function for Clowns R Fun c(x):
c(x) = 1.25x+6
We will call the function for Singing Balloons s(x):
s(x) = 1.95x+2
We want the amount for Clowns R Fun, c(x) to be less:
c(x) < s(x)
1.25x+6 < 1.95x+2
Subtract 1.25x from each side:
1.25x+6-1.25x < 1.95x+2-1.25x
6 < 0.7x+2
Subtract 2 from each side:
6-2 < 0.7x+2-2
4 < 0.7x
Divide each side by 0.7:
4/0.7 < 0.7x/0.7
5.7 < x
x > 5.7
She must buy more than 5.7 balloons; the next integer up is 6. She must buy 6 or more balloons.
Answer:
Step-by-step explanation:
The Side-Angle-Side method cana only be used when information given shows that an included angle which is between two sides of a ∆, as well as the two sides of the ∆ are congruent to the included side and two sides of the other ∆.
Thus, since John already knows that 
and 
, therefore, an additional information showing that the angle between 
and 
in ∆ABC is congruent to the angle between 
and 
in ∆DEF.
For John to prove that ∆ABC is congruent to ∆DEF using the Side-Angle-Side method, the additional information needed would be .
See attachment for the diagram that has been drawn with the necessary information needed for John to prove that ∆ABC is congruent to ∆DEF.
Again, a^2+b^2=c^2
c=10
b=9
10 squared is 100
9 squared is 81
100-81=19
The square root of 19, rounded to the nearest hundredth, is 4.36
