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Andru [333]
3 years ago
5

1) f(4) = g(4) 2) f(4) = g(-2) 3) f(2) = g(-2) 4) f(-2) = g(-2)

Mathematics
1 answer:
aniked [119]3 years ago
6 0

Answer: 4)

Step-by-step explanation:

f(4) = -14

g(4) = 10

g(-2) = 4

f(2) = -8

f(-2) = 4

The correct statement is 4) f(-2) = g(-2)

Or by inspection, we can see that the graph f(x) intersects g(x) at x = -2 and    y = 4. So, f(-2) = g(-2) = 4 is true

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BabaBlast [244]
The correct answer is 22.45
4 0
3 years ago
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You sell an automobile part for $9.98, which includes a $.40 sales tax. The article cost you $8.75.
Irina-Kira [14]

Answer:

9.5%

Step-by-step explanation:

Buying price of the part= $ 8.75

Selling price of the part= $ 9.98

sale tax= $0.40

Selling price before sale tax= $9.98-$ 0.40 = $ 9.58

Make-up amount charged= $9.58- $8.75 = $ 0.83

As a percentage= (0.83/ 8.75) ×100

=9.5%

7 0
3 years ago
A 55m and 35m broad park is surrounded by a 2.5m wide path.
daser333 [38]

Step-by-step explanation:

☄ \underline {\underline{ \text{Given}}} :

  • Length of a park ( l ) = 55 m
  • Breadth of a park ( b ) = 35 m
  • Width running outside the park ( d ) = 2.5 m
  • Rate of paving the path with stones = Rs 120 per sq.metre

☄ \underline{ \underline{ \text{To \: find}}}:

  • Area of the park
  • Cosy of paving the path with stones at Rs 130 per sq.metre

☄ \underline{ \underline{ \text{Solution}}} :

Part 1 : \boxed{\text{Area \:of \:a \:path \: running \:outside = 2d(l + b + 2d)}}

plug the known values and simplify :

⟹ \sf{2 \times 2.5(55 + 35 + 2 \times 2.5)}

⟹ \sf{5  \times 95}

⟹ \sf{475 \:  {m}^{2} }

Part 2 : \boxed{ \sf{Total \: cost = Area \: of \: paths \:  \times  Rate}}

⟹ \sf{475  \times 120}

⟹\sf{Rs \: 57000}

\purple{ \boxed{ \boxed{ \sf{ \tt{⟿ \: Our \: final \: answer : (i) = 475 \:  {m}^{2}   \:  and \: (ii ) = Rs \: 57000}}}}}

Hope I helped ! ♡

Have a wonderful day /night ツ

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7 0
3 years ago
The pair of triangles that are congruent by the ASA criterion is . The pair of triangles that are congruent by the SAS criterion
anzhelika [568]

Answer:

The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.

The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.


Step-by-step explanation:

Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.

Two triangles are congruent by SAS if  two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles  Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.

5 0
3 years ago
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What is the area of the composite shape?<br><br> A.14<br> B.24<br> C.36<br> D.68
lyudmila [28]

Answer:

C

Step-by-step explanation:

The top part is 4.5 inches and teh bottom is 27 so it is 36

6 0
3 years ago
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