Answer:
The percent increase is 
%
Step-by-step explanation:
First we need to calculate the increase:
Increase in value = 
=
Percent increase = [Increase in value / Initial value]*100
=
=%
Therefore,
the percent increase is %
Answer: 48 degrees-------------------------------------------------------
See the attached image for a visual of the problem and answer.
Based on the diagram, we have angle AHB = 132 degrees (given) equal in measure to angle XHY since these two angles are vertical angles.
Angles HYC and HXC are right angles due to the nature of AX and BY being altitudes. Recall that altitudes are segments that go from one vertex to the opposite side and they are perpendicular to the opposite side.
Focus on quadrilateral HXCY. So far, we know that...
Angle XHY = 132 degrees
Angle HYC = 90 degrees
Angle HXC = 90 degrees
The angle we want to find is angle ACB, which is the same as angle YCX. This angle is the missing angle of the quadrilateral HXCY.
For any quadrilateral, the four angles must add to 360 degrees.
(angle XHY) + (angle HYC) + (angle HXC) + (angle YCX) = 360
(132) + (90) + (90) + (angle YCX) = 360
312 + (angle YCX) = 360
312 + (angle YCX) - 312 = 360 - 312
angle YCX = 48 degrees
Since angle ACB is the same as angle YCX, we can say
angle ACB = angle YCX = 48 degrees
So in summary,
angle ACB = 48 degrees
The difference between the numbers ABCD and DCBB is 10000
<h3>How to determine the difference</h3>
From the information given, we have that:
- ABCD and DCBB is a multiple of 10.
- The digits A,B,C and D are consecutive integers
- The number ABCD is a multiple of 3
We can say that:
B + D = 10
A = 3
B = 4
C = 5
D = 6
Now,
ABCD = 3456
DCBB = 6544
Difference between the numbers ABCD and DCBB = 3456 + 6544 = 10, 000
Thus, the difference between the numbers ABCD and DCBB is 10000
Learn more about word problems here:
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A scalene triangle is a triangle with no equal sides.
An isosceles triangle is a triangle with 2 equal sides.
An equilateral triangle is a triangle with all equal sides
I can not see the triangle so I gave you the definitions of each of these answers. Hope I helped, if you can describe the triangle I can confirm. Sorry I couldn't be of more help!
