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EastWind [94]
3 years ago
7

Prove: △VWZ ≅ △YWZ

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
6 0

Answer:


Step-by-step explanation:

Statements                          Reasons

----------------------------------------------------------------

1. ∠V ≅ ∠Y                        Given

2. WZ bisects ∠VWY          Given

3. ∠VWZ ≅ ∠YWZ            Definition of Angle Bisector (2)

4. WZ ≅ WZ                         Reflexive Property

5. ΔVWZ ≅ ΔYWZ               AAS Theorem (1,3,4)

**In case you didn't know the definitions**

Angle Bisector - A line, segment or ray that divides an angle into two congruent angles

Reflexive Property - X = X

AAS Postulate -  If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangle's are congruent

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BERE
inna [77]

Answer:

  • 2

Step-by-step explanation:

<u>The slope is the ratio of difference of y- coordinates by the difference of x- coordinates:</u>

  • m = 6/3 = 2

3 0
2 years ago
Read 2 more answers
Find the angle that the line through the given pair of points makes with the positive direction of the x-axis
Allisa [31]

Answer:

The answer to your question is Ф = 45°

Step-by-step explanation:

Data

A (1, 4)

B (-1, 2)

Process

1.- Find the slope of the line

formula

m = \frac{y2 - y1}{x2 - x1}

Substitution

m = \frac{2 - 4}{-1 - 1} = \frac{-2}{-2} = 1

Slope definition, is the steepness of a line and also is the tangent of the angle of the line.

                          tangent Ф  = slope

                          tangent Ф = 1

                                        Ф = tangent⁻¹ 1

                                        Ф = 45°

4 0
3 years ago
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767 runners entered a race. 305 more entered before the race started. How many runners are in the race? A 1072​
boyakko [2]
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4 0
3 years ago
These polygons are similar. Find the missing side length.<br><br> Can you guys help?
Over [174]

Answer:

Step-by-step explanation:

Since they are similar we can say

?/15=6/3

?=15(6)/3

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5 0
3 years ago
The whole numbers from 10-12 are paired with their factors explain why this pairing doesnt describe a function
myrzilka [38]

Answer:

As given whole numbers from 10 - 12 are paired with their factors.

factor of ,10=1,2,5,10 → (10,1),(10,2),(10,5)(10,10)

factor of 11=1, 11 → (11,1),(11,11)

factor of 12=1,2,3,4,6,12→ (12,1),(12,2),(12,3),(12,4),(12,6),(12,12)

As we know for an ordered pair to be function Every element in the domain must have a unique image, i.e it can't have more than one image.

→ As element 10, have four images,which are 1,2,5,10 so it can,t be a function.

Similarly element 11 have two images 1,11 so it can't be a function.

Element 12 have six images 1,2,3,4,6,12, so it also can't be written as function.





8 0
3 years ago
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