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tigry1 [53]
2 years ago
11

Directions: Solve for x.

Mathematics
1 answer:
KonstantinChe [14]2 years ago
7 0

Answer:

x = 6

Step-by-step explanation:

From the given picture,

ΔABC and ΔADE are the similar triangles.

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

\frac{AB}{AD}=\frac{AC}{AE}

\frac{x+18}{x}=\frac{28}{(28-21)}

7(x + 18) = 28x

7x + 7×18 = 28x

28x - 7x = 126

21x = 126

x = \frac{126}{21}

x = 6

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Explain how an enlargement of reduction in the dimensions of a building would cause a change in the scale factor.
Delicious77 [7]

Answer:

The scale factor represents a proportional relationship between the scale drawing and the building’s dimensions. If the dimensions change, then the scale factor must also change to preserve the relationship.

Step-by-step explanation:

6 0
3 years ago
Is ABC DEF? If so, name which similarity postulate or theorem applies. Pls explain. Thanks!! :)
Inessa05 [86]

Answer: B. Similar - AA

Step-by-step explanation:

The AA or Angle-Angle postulate states that if two corresponding angles are congruent, then the triangles are congruent.

3 0
3 years ago
Can someone help me with this question?
belka [17]
Option 3 (1/4 x 60) since 59 is close to 60 and 25% can be rewritten as 1/4
4 0
3 years ago
Picture is attached above.​
Kamila [148]

Answer:

AAS

Step-by-step explanation:

AAS stands for Angle-Angle-Side. Here, you are given two angles and one side that is not included in the angles that are corresponding to the angles and side of another triangle, so they are congruent by the AAS rule.

You may be asking why the ASA (angle-side-angle) is not applicable. This is because the side in the ASA rule should be between the two angles, in this case, the 10-unit-side is not in between the two angles but rather nearer to the angle 70°, so ASA is not the right answer.

4 0
2 years ago
Determine the area of the green sector. A) 5 4 π in2 B) 57 8 π in2 C) 19 4 π in2 D) 19 24 π in2
Alex_Xolod [135]
the complete question in the attached figure

we know that
r=3 in
A=π*r²

the area of ​​the complete circle-------> π*3²=9π in²
the green sector=360°-75°=285°
if 9π in²--------------------------> corresponds a 360°
  X---------------------------------> 285°
X=285*9π/360=(285/40)*π---> [(3*5*19)/(8.5)]*π=[(3*19)/(8)]*π=(57/8)*π in²

the answer is (57/8)*π in²  (the option B)

3 0
3 years ago
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