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Genrish500 [490]
3 years ago
6

The sides of a triangle measure 7, 4, and 9. If the longest side of a similar triangle measures 36, Determine and state the leng

th of the shortest side of this triangle.
Mathematics
1 answer:
Jobisdone [24]3 years ago
5 0

Step-by-step explanation:

Okay! Since these are similar figures we need to find the scale factor in order to answer this question.

We have a triangle with sides 7, 4, and 9. The longest side is 9. This corresponds with the longest side on the similar triangle, which is 36. So to find the scale factor we divide 36 by 9. The scale factor is 4.

Now to find the shortest side of the bigger triangle, we have to find the length of the shortest side on the smaller one which is 4. Since our scale factor is 4, we multiply 4 by 4 to get 16.

The length of the shortest side of the similar triangle is 16

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Question 3<br> Convert the following proportion score to a percentage: .3852
Alekssandra [29.7K]

Answer:

The percentage score is 38.52%

Step-by-step explanation:

Conversion of a proportion to a percentage:

To convert from a proportion to a percentage, we multiply by 100%, that is, the decimal point is moved two positions to the right, and the percentage sign is placed in the number.

In this question:

Proportion .3852

0.3852*100% = 38.52%

The percentage score is 38.52%

7 0
3 years ago
In the figure CD is the perpendicular bisector of AB . If the length of AC is 2x and the length of BC is 3x - 5 . The value of x
Dennis_Churaev [7]

Answer

Find out the value of x .

To proof

SAS congurence property

In this property two sides and one angle of the two triangles are equal.

in the Δ ADC and ΔBDC

(1) CD = CD (common side of both the triangle)

(2) ∠CDA = ∠ CDB = 90 °

( ∠CDA +∠ CDB = 180 ° (Linear pair)

as given in the diagram

∠CDA  = 90°

∠ CDB = 180 ° - 90°

∠ CDB = 90°)

(3) AD = DB (as shown in the diagram)

Δ ADC ≅ ΔBDC

by using the SAS congurence property .

AC = BC

(Corresponding sides of the congurent triangle)

As given

the length of AC is 2x and the length of BC is 3x - 5 .

2x = 3x - 5

3x -2x =5

x = 5

The value of x is 5 .

Hence proved


7 0
3 years ago
Read 2 more answers
Triangle ABC has verrocktes A (2,-1) B ( -3,0) and C ( -1,4) . Find the vertices of the image of triangle and after a translatio
belka [17]

Answer:

A(2,1) , B(-3,2) , C(-1,6)

Step-by-step explanation:

A translation of 2 units up means the y values will be shifted up 2 units

A (2,-1) -> A(2,1)

B (-3,0) -> B(-3,2)

C (-1,4) -> C(-1,6)

3 0
3 years ago
Suppose you have to find 4×57 how many expanded algorithm in the standard algorithm like how are they different
KiRa [710]

Answer:

228

Step-by-step explanation:

8 0
3 years ago
Find the distance between the points given<br><br>(0, -6) and (9, 6)
Valentin [98]

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{0}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[9-0]^2+[6-(-6)]^2}\implies d=\sqrt{(9-0)^2+(6+6)^2} \\\\\\ d=\sqrt{9^2+12^2}\implies d=\sqrt{225}\implies d=15

3 0
4 years ago
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