The value simplified is <u>a²</u>
-
In a power division with equal bases - we subtract the exponents and keep the bases.
- The representation of this expression in formula is given by:

<h3>Resolution </h3>


So, the answer of this expression is <u>a²</u>
Answer:
m∠K =m∠N
HJ/MP=JK/PN
Step-by-step explanation:
The picture of the question in the attached figure
we know that
if two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
<u><em>Verify each statement</em></u>
case a) we have
m∠K =m∠N
The statement is true
Because, angle K and angle N are corresponding angles, and remember that in similar figures corresponding angles are congruent
case b) we have
HJ≅MP
The statement is false
Segment HJ and segment MP are proportional, not congruent
case c) we have
m∠J≅m∠N
The statement is false
Because angle J and angle N are not corresponding angles
case d) we have
HJ/MP=JK/PN
The statement is true
Because, the ratio of its corresponding sides is proportional
so

Answer:
A
Step-by-step explanation:
Answer:
4 yd².
Step-by-step explanation:
From the question given above, the following data were obtained:
Length (L) = 2⅔ yards
Width (W) = 1½ yards
Area (A) =.?
The area of the piece of fabric that Roberto needs can be obtained by using the formula for calculating the area of a rectangle. This is illustrated below:
Area (A) = Length (L) × Width (W)
A = 2⅔ × 1½
A = 8/3 × 3/2
A = 8 × ½
A = 4 yd²
Thus, the area of the piece of fabric that Roberto needs is 4 yd²
Let the segment be represented by AB where A(0,0) =
and B(3/4,9/10) =
.
The length of the segment drawn by architect can be calculated using distance formula:
AB =



Similarly, Let the actual end points of segment be AC where A(0,0) =
and C(30,36) =
.
The length of the original segment can be calculated using distance formula:
AC =


.
Thus, the actual length is 40 times the length of the segment drawn by the architect.
Thus, the proportion of the model is 1:40