Hi there.
A triangle's interior angles must always add up to 180 degrees. Since we already have one measurement, 56, we can set up an equation to solve for the missing angles.
(2x + 4) + 56 + x= 180; solve for x.
Subtract 56 from both sides.
(2x + 4) + x = 124;
Combine like-terms (x).
3x + 4 = 124;
Subtract 4 from both sides.
3x = 120
Divide both sides by 3 to solve for x.
x = 40.
Now, we need to substitute x with 40 in each of our angles to determine their measurements.
2x + 4; x = 40.
2(40) + 4 = 80 + 4 = 84;
One measurement is 84 degrees.
x = 40 is another measurement on its own.
Our measurements are:
56, 84, and 40.
Your corresponding answer choice is H.) 56, 84, 40.
I hope this helps!
This is a proportion question.
0.5:40 miles :: 5:x
Translated into division you get 0.5/40 = 5/x Cross multiply
0.5 x = 40 * 5 combine the right
0.5x = 200 divide by 0.5
0.5x/0.5 = 200/0.5 Divide
x = 400
Answer: The two cities are 400 miles apart
If y=75 degrees is the angle between sides a and b, then yes, it is possible to calculate the area of the triangle.
To answer further, we use the sine function to do the calculation.
The area is given by
Area = absin(y)/2 = 32*24*sin(75)/2 = 370.92 to two decimal places.
The correct question is
Find the volume of a <span>cylinder with base area 25 pi cm squared and height 3 cm more than the radius
we know that
</span>[the volume of a cylinder]=[area of the base]*[height]
[area of the base]=25pi cm²
[area of the base]=pi*r²--------> r²=[area of the base]/pi----> r²=25pi/pi
r²=25--------> r=5 cm
the height is 3 cm more than the radius
so
height=3+5-----> height=8 cm
[the volume of a cylinder]=[25pi]*[8]------> 200pi cm³
the answer is
200pi cm³
Q= 3456
because, 3=4+7
4+5=9
5+6=11
and 3 x 2=6