Based on the mass of the circle and the triangle, we can find the mass of the square to be<u> 3.33 grams</u>
<h3>Mass of each side of hanger </h3>
Assuming the mass of the square is x, the equation for the first side is:
= (3 x mass of circle) + (2 x mass of triangle) + (6 x mass of square)
= ( 3 x 2) + ( 2 x 4) + ( 6 × x)
= 6 + 8 + 6x
Mass of other side:
= (2 x mass of circle) + (5 x mass of triangle) + (3 x mass of square)
= ( 2 x 2) + ( 5 x 4) + ( 3 × x)
= 4 + 20 + 3x
<h3>Mass of square </h3>
As both sides are equal, equate both formulas to find x:
6 + 8 + 6x = 4 + 20 + 3x
6x - 3x = 24 - 14
3x = 10
x = 10/3
x = 3.33 grams
In conclusion, each square is 3.33 grams.
Find out more on problems requiring equating at brainly.com/question/20213883.
Based on the box plots, the statement which is correct is that: A. The median score of Class A is greater than the median score of Class B.
<h3>What is a box and whisker plot?</h3>
In Mathematics, a box plot is also referred to as box and whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Additionally, the five-number summary of any box plot (box and whisker plot) include the following:
- Minimum
- First quartile
- Median
- Third quartile
- Maximum
By critically observing the box plot (box and whisker plot) which represent the math scores of students in in two different classes, we can reasonably and logically deduce the following median scores;
Median score of class A = 80
Median score of class B = 75
Therefore, a median score of 80 in Class A is greater than the median score of 75 in Class B.
Read more on box plots here: brainly.com/question/14277132
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Answer:
1035.33 feet
Step-by-step explanation:
h=900tan49
=1035.33 feet
I hope it helps
Answer:
2, 4, 5, and 6 have the same pair of solutions.
Step-by-step explanation:
1. n(n+3)(n-4) = 0
2. 2n(4n+6)(6n-4) = 0
3. 2n(6-4n)(4n-6n) = 0
4. n(2n+3)(3n-2) = 0
5. 2n(2n+3)(3n-2) = 0
6. 3n(6n+9)(9n-6) = 0
Answers:
1. n = 0, -3, 4
2. n = 0, -3/2, 2/3
3. n = 0, 3/2
4. n = 0, -3/2, 2/3
5. n = 0, -3/2, 2/3
6. n = 0, -3/2, 2/3
Answer:
Statement: AB=CD, BC=AD
Reason: By definition of parallelogram .
Statement: AC=AC
Reason: Reflexive property of equality.
Step-by-step explanation:
1.Statement: 
.
Reason: For parallel lines cut by a transversal , corresponding angles are congruent.
2.Statement:AB=CD,BC=AD
Reason: By definition of parallelogram.
3.Statement: AC=AC
Reason: Reflexive property of equality.
4.Statement: 
.
Reason: SSS criterion for congruence.
5.Statement:
.
Reason: Given .
6.Statement: 
.
Reason: By definition of parallelogram.
7.Statement: 
.
Reason: Alternate Interior Angles Theorem.
