Hello! In order to solve the first problem, you need to know the properties of a rhombus.
Some basic rules that apply to the problem you should know are:
- All sides of a rhombus are equal, however, a rhombus consists of two angles.
- Opposite angles are congruent.
- Adjacent angles are supplementary.
- Diagonals intersect each other at 90 degrees.
- Diagonals bisect the opposite interior angles.
- All angles of a rhombus will always add up to 360 degrees.
To be congruent, line segments must be equal in length. The same rule applies to angles, they must be of equal measure.
This being said,
1. HT is congruent to MA
2. ST is congruent to MS
3. AMH is congruent to ATH
4. If angle MHT is 80 degrees, than angle MAT is 80 degrees as they are vertical (opposite) angles. This means they are always congruent.
5. If line MH = 9, then due to congruency AT must equal 9.
A square is 360 degrees. Every line is equal, every angle is equal.
There are four right angles in a square. A right angle equals 90 degrees.
Since every line has the same length, they are all congruent.
1. True
There are no angles less or more than 90 degrees in a perfect square.
2. False
KD and IN are not perpendicular since they do not intercept. They are parallel.
3. False
Every angle in a perfect square is 90 degrees.
4. True
You can draw out lines to get a better perception of KN and ID. They are congruent due to properties of a square.
5. True
Hi!
18.49 * 5.75% = 1.063175
18.49 + 1.063175 = 19.553175 (Round to the nearest cent).
The cost (including tax) will be $19.55. Since $20 is greater than $19, the gift card will be able to cover the cost!
n/3n - 2.
The denominator of the given simplified expression is
The given expression is ( 2n/6n + 4 ) ( 3n + 2/ 3n - 2 )
To find the denominator of the simplified expression :
First, simplify the given expression as below ;
( 2n/6n + 4 ) ( 3n + 2/ 3n - 2 )
( 2n/2₍₃ₙ ₊ ₂₎ ( 3n + 2/ 3n - 2 ) ( here by taking the common term 2 outside the factor )
= (n/1) ( 1/ 3n - 2 ) ( here by simplifying the factors )
= n/3n - 2.
Therefore, ( 2n/6n + 4 ) ( 3n + 2/ 3n - 2 ) = n/3n - 2
Therefore the result of the given simplified expression is = n/3n - 2.
Learn more about the simplified expression at
brainly.com/question/723406
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Answer:
12 square ft
Step-by-step explanation:
As given in the picture, the formula for the area of circles is A = pi*r*r. Since the radius is 2 ft and pi is approximately 3, A = 3*2*2 = 12 square ft.
Answer:
.52
Step-by-step explanation:
We can write an equation
supports/all
we can see that 27 males and 25 females support which means that
27+25= 52 total people support
now we just need to find the number of people surveyed
we do this by summing everything
27+25+18+13+5+12=100
52/100 = .52