AB = GI
BC = HI
DE = HI
m∠B = m∠D = m∠I
Which triangles must be congruent?
ΔABC and ΔDEF only
ΔGHI and ΔABC only
none of the triangles
ΔABC, ΔDEF, and ΔGHI
Answer: ΔABC, ΔDEF, and ΔGHI
Step-by-step explanation:
Given: In ΔABC, ΔDEF, and ΔGHI:
AB = DF AB = GI
BC = HI DE = HI
m∠B = m∠D = m∠I
In ΔABC and ΔGHI
AB = GI [given]
BC = HI [given]
m∠B = m∠I [given]
[ here m∠B and m∠I are the included angle of ΔABC and ΔGHI]
∴ ΔABC ≅ ΔGHI [by SAS congruence postulate]
In ΔABC and ΔDEF
AB = DF [given]
BC = DE [ Since BC = HI and DE = HI so by transitive property BC = DE]
m∠B = m∠D [given]
[ here m∠B and m∠D are the included angle of ΔABC and ΔDEF]
∴ ΔABC ≅ ΔDEF [by SAS congruence postulate]
Now, since ΔABC ≅ ΔGHI and ΔABC ≅ ΔDEF
⇒ ΔGHI ≅ ΔDEF [transitive property]
Hence, all the given triangles ΔABC, ΔDEF, and ΔGHI are con gruent to each other.
It would be: 1472/840 * 100 = 147200/840 = 175.02
So, it is 75.02%
For nearest 10th percent it will be 75%
SO 75% IS YOUR ANSWER
The student paid a 900.0% annual interest rate on the loan provided by the pawnbroker.
To calculate the annual interest rate you paid, you need to note that the difference between the amount you paid back and the amount you borrowed is the interest. That's $1,472 - $840 = $632. The way interest works is that you pay a certain percentage of the original amount you borrowed (the principal). So, if we express the interest as a percentage of the principal, we get $632 / $840 = 0.75, or 75%. However, this is the interest rate for one month, as you only held the loan for one month. The annual rate would be this monthly rate multiplied by the number of months in the year, which gives 75% * 12 = 900%. So, the annual interest rate you paid, to the nearest tenth of a percent, is 900.0%.
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Simplify: 4 3/2
Answer:
4 3/2 is simplified into 5 1/2
Step-by-step explanation:
There are three halves in the improper fraction 3/2. Two of those halves make another whole number, and you are left with one half and 1. 4 + 1 1/2 is equal to 5 1/2.
Answer: Letter A
Step-by-step explanation: because it is located at the front of the jaw and is the closest to the dental lamina, the source of tooth development in the jawbone
25
625
10
13
The value of m² + n² will be 13 ( option D)
An algebraic expression is a mathematical phrase that combines numbers, variables, and operations like addition, subtraction, multiplication, and division.
It represents a value that can vary depending on the values assigned to the variables. For example, "3x + 5" is an algebraic expression where 'x' is a variable.
The algebraic expression is m² + n² and the value of m and n are given as
m = 2 and n = 3
2² + 3²
= 4 + 9
= 13
Therefore, m² + n² will be 13
learn more about algebraic expression from
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When m = 2 and n = 3, m2 + n2 equals 13.
To find the value of m2 + n2 when m = 2 and n = 3, we substitute the values of m and n into the expression.
So, m2 + n2 = 22 + 32 = 4 + 9 = 13.
Therefore, when m = 2 and n = 3, m2 + n2 equals 13.
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1. The scale of a map says that 2 cm represents 4 km. What distance on the map (in cm) represents an actual distance of 6 km?
2. Using the same scale from the previous question, (2 cm represents 4 km), What is the actual number of km that is represented by 5 cm on the map?
The answer to the first question is 3 cm
The answer to the second question is 10 km
Answer:
1. 3 cm
2. 10 km
Step-by-step explanation:
1. 2 cm = 4 km
? cm = 6 km
6/4= 1.5 so 4*1.5=6
2*1.5=3 cm
2. 2 cm = 4 km
5/2=2.5 so 2*2.5=5
4*2.5= 10 km