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viktelen [127]
3 years ago
9

3. Which of the following

Mathematics
1 answer:
WARRIOR [948]3 years ago
3 0
I’m pretty sure it A because I’m taking geometry right now and I’m looking through my notes and a is the only one that makes sense
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Simplify<br> a)<br> a^5 divided by a^3
Ymorist [56]

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:

\large \sf a {}^{n}  \div a {}^{m}  =  \boxed{ \large \sf a {}^{n - m} } \\  \\

<h3>Resolution </h3>

\large \sf a {}^{n}  \div a {}^{m}  =  \boxed{ \large \sf a {}^{n - m} }

\large \sf a {}^{5}  \div a {}^{3}  =   \purple{\boxed{ \large \sf a {}^{2} } } \\

So, the answer of this expression is <u>a²</u>

5 0
2 years ago
Quadrilateral HJKL ~ Quadrilateral MPNQ<br><br> Which statements must be true
LenKa [72]

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

\frac{HJ}{MP}=\frac{JK}{PN}=\frac{KL}{NQ}=\frac{HL}{MQ}

7 0
3 years ago
*PLEASE HELP* I NEED TO FINISH THIS IN 30 MINUTES (I’ll give brainlist)
miskamm [114]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Roberto must make his costume for the school play. He needs a piece of fabric that is 2 and 2/3 yards long and 1 and 1/2 yards w
ratelena [41]

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

6 0
3 years ago
suppose an architect draws a segment on a scale drawing with the end points (0,0) and (3/4,9/10). the same segment on the actual
dlinn [17]

Let the segment be represented by AB where A(0,0) = A(x_{1}, y_{1}) and B(3/4,9/10) = B(x_{2}, y_{2}).

The length of the segment drawn by architect can be calculated using distance formula:

AB =\sqrt{}( x_{2}- x_{1})^ {2} + (y_{2}- y_{1})^ {2}

AB=\sqrt{(3/4-0)^{2}+(9/10-0)^{2}

AB=\sqrt{9/16+81/100} \\

AB = (6\sqrt{61})/40

Similarly, Let the actual end points of segment be AC where A(0,0) = A(x_{1}, y_{1}) and C(30,36) = C(x_{2}, y_{2}).

The length of the original segment can be calculated using distance formula:

AC =\sqrt{}( x_{2}- x_{1})^ {2} + (y_{2}- y_{1})^ {2}

AC=\sqrt{(30-0)^{2}+(36-0)^{2}

AC=\sqrt{900+1296} \\

AC = (6\sqrt{61}).

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

4 0
3 years ago
Read 2 more answers
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