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Ira Lisetskai [31]
2 years ago
14

Based only on the information given in the diagram, it is guaranteed that ABC~DEF

Mathematics
2 answers:
slamgirl [31]2 years ago
4 0
False because it doesn’t meet any triangle congruence theoreme
Varvara68 [4.7K]2 years ago
4 0

Answer: False.

Step-by-step explanation:

To prove any pair of triangles similar , some necessary things are needed :-

1) At least two angles :-Two prove a pair of angles are similar , we need at-least two corresponding angles are congruent for AA-similarity criteria.

2) Two sides and one included angle :- To apply SAS similarity criteria , we need two sides of one triangle proportional two two sides of another traingle and one pair of congruent corresponding angle.

3) Three sides :-To apply SSS similarity criteria , we need all the three sides of triangle proportional to the sides of the another triangle.

In the given figure we have given only one angle and one side in each triangle.

To apply any similarity criteria to prove then similar , we need at least an angle or side CB and EF or all the sides.

Hence, on the basis of the given diagram it is not guaranteed that  ABC~DEF.

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What is the equation of the translated function, g(x), if f(x) = x2?
Eddi Din [679]

All of these would be translated versions of f(x).


A translated version is simply one in which the base equation is used and then moved. Each of these equations are quadratics with a starting term of x^2. All of them move up and down or side to side in some way and direction, but all of them would be translated versions of that graph.

6 0
2 years ago
Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx dt = 2x + 3y − 5 dy dt = −x − 2y + 4 x(
sukhopar [10]
Try this solution (see the attachment, it is consists of 3 steps).

4 0
2 years ago
Read 2 more answers
A middle school band has 45 sixth and seventh graders The ratio of sixth to seventh graders is 2 to 3 how many sixth graders are
AnnyKZ [126]

Answer:

  18

Step-by-step explanation:

There are 2+3 = 5 ratio units representing 45 band members, so each ratio unit represents 45/5 = 9 band members.

The 2 ratio units of sixth graders represent 2×9 = 18 sixth grade band members.

5 0
2 years ago
The number of basketball jerseys sold (Y) during certain months (x) at
Klio2033 [76]

Answer:

March (3) to December (12)

Step-by-step explanation:

Given:

The graph above

Required:

Months where the number of Jerseys sold at least 150?

The above graph is a typical two dimensional graph.

A 2 dimensional graph has x and y axis.

The y axis (vertical) of this graph holds the number of jersey sold

While the x axis (horizontal) of this graph holds the number of month.

To check the month where at least 150 jerseys were sold, we mark the "150 mark" on the y axis then we trace it to the x axis.

For convenience sake, we'll make use of a line (see attachment).

Every month that falls under this line will not regarded as sales less than 150 (meaning that these months do not count as part of the answer)

From the line on the attachment, only the 3rd month to the 12th month satisfy this criteria.

Hence, the months at which number of sold jersey was atleast 150 is 3 to 12.

6 0
2 years ago
A fully-booked hotel has 62 guest in 35 rooms, some in single rooms, and some in double rooms. How many single and double rooms
Lunna [17]

Answer:

In this hotel there are 27 double rooms and 8 single rooms.

Step-by-step explanation:

We will consider the guests who stayed on double rooms as 'd' and the ones who stayed on single rooms as 's'. The sum of them should be the number of guests on the hotel. So we have:

s + d = 62

They need to be distributed in such a way that they'll fit in 35 rooms. The people who got on double rooms need to be divided by two, since two people will be on the same room. So we have:

s + d/2 = 35

Since we have two equations and two variables we can create a system of equations and solve it:

s+ d = 62

s + d/2 = 35

From the first equation we have:

s = 62 - d

Swaping this value on the second equation:

62 - d + d/2 = 35

62 -d/2 = 35

-d/2 = 35 - 62

-d/2 = -27

-d = -54

d = 54

Using that value we can solve for s:

s = 62 - 54 = 8

So they had 54 people staying on double rooms and 8 people staying on single rooms. Since 54 people stayed on double rooms there are 27 double rooms.

6 0
2 years ago
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