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nydimaria [60]
4 years ago
7

F four is half of five and two thirds of six is nine. what is thirty-two?

Mathematics
1 answer:
Mandarinka [93]4 years ago
6 0

i believe 32 is 52.5 because 4= 1/2 of 5 5*6=30 6*8=48 and we want 32 so 2/3 of 6= 9 9/2=4.5 4.5+48 =52.5

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In the diagram, VZ/YZ=WZ/XZ. To prove that △VWZ ~ △YXZ by the SAS similarity theorem, which other sides or angles should be used
Vitek1552 [10]

Answer:

The angles \angle VZW\cong \angle YZX are used to prove the similarity of triangles VWZ and YXZ.

Step-by-step explanation:

Given information: \frac{VZ}{YZ}=\frac{WZ}{XZ}

Two triangles are called congruent if their corresponding sides are in same proportion or the corresponding angles are same.

If two corresponding sides of triangle have same proportion and their inclined angle is same, then by SAS rule of similarity both triangles are similar.

From the given figure it is noticed that the ∠VZW and ∠YZX are vertically opposite angles. The vertically opposite angles are always equal.

\angle VZW=\angle YZX                   (Vertically opposite angles)

\frac{VZ}{YZ}=\frac{WZ}{XZ}                (Given)

By SAS rule of similarity

VWZ\sim YXZ

Therefore the angles \angle VZW\cong \angle YZX are used to prove the similarity of triangles VWZ and YXZ.

4 0
3 years ago
Read 2 more answers
A school debate team has four girls and six boys. A total of four of the team members will be chosen to participate in the distr
alex41 [277]
Procedure:

1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)

Solution

1) the number of teams of four members that can be formed are:

10*9*8*7 / (4*3*2*1) = 210

2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls

Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6

Number of different teams with 2 boys and 2 girls = 15 * 6 = 90

3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:

90/210 = 3/7
 
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4 years ago
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Answer:

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3 years ago
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