Answer:
i think the answer is 7
Step-by-step explanation:
Answer:
Angle 1 = 108°
Angle 2 = 72°
Angle 3 = 120°
Angle 4 = 96°
Angle 5 = 144°
Step-by-step explanation:
We need to find the measures of the interior angles in a pentagon if the measure of each consecutive angle is in the ratio 9:6:10:8:12.
Let x be the common ratio
So, we can write:
Angle 1 = 9x
Angle 2 = 6x
Angle 3 = 10x
Angle 4 = 8x
Angle 5 = 12x
We know that the <em>sum of all angles of pentagon = 540</em>
So, adding all angles and equal them to 540, we can find value of x

So, we get the value of x: x=12
Now, calculating the angles by putting x=12:
Angle 1 = 9x = 9(12) = 108°
Angle 2 = 6x = 6(12) = 72°
Angle 3 = 10x = 10(12) = 120°
Angle 4 = 8x = 8(12) = 96°
Angle 5 = 12x= 12(12) = 144°
The pattern is going up by elevens each time. So basically you take the second number(A2) and subtract it from the first number(A1).
so short answer is: 46, 57, 68
Answer:
26 candy bars and 12 sodas
Step-by-step explanation:
This problem can be solved by a simple system of equations
I am going to call x the number of candy bars that Sally bought and y the number of sodas that Sally bought.
The fact that she bought 38 itens means the x + y = 38.
She spent $50.38. The value she spent is the sum of the number of candy bars multplied by the value of the candy bar and the number of sodas multiplied by value of a soda. So 1.25x + 1.49y = 50.38
So we have to solve the following system:
1)x + y = 38
2)1.25x + 1.49y = 50.38
From 1), we have that x = 38 - y. I am going to replace it in 2)
1.25(38-y) + 1.49y = 50.38
-1.25y + 1.49y = 50.38 - 47.5
0.24y = 2.88
y = 12.
Sally bought 12 sodas.
In 1: x = 38-y = 38-12 = 26
Sally bourght 26 candy bars
The area of a right angled triangle with sides of length 9cm, 12cm and 15cm in square centimeters is 54 sq cm.
The formula to calculate the area of a right triangle is given by:
Area of Right Triangle, A = (½) × b × h square units
Where, “b” is the base (adjacent side) and “h” is the height (perpendicular side). Hence, the area of the right triangle is the product of base and height and then divide the product by 2.
We know that the hypotenuse is the longest side. So, the area of a right angled triangle will be half of the product of the remaining two sides.
Given sides of the triangle:
a=9cm
b=12cm
c=15cm
From this we know that the hypotenuse is c. Are of the triangle will be obtained by the other two sides.
∴Area =
x 9 x 12
= 54