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zmey [24]
2 years ago
10

The triangles below are similar. Triangle Y X Z. Side Y X is 6 centimeters, X Z is 7 centimeters, and Z Y is 3 centimeters. Tria

ngle A B C. Side A C is 14 centimeters, A B is 12 centimeters, and B C is 6 centimeters. Which similarity statement expresses the relationship between the two triangles? Triangle Z Y X is similar to triangle C A B Triangle Z Y X is similar to triangle A C B Triangle Z Y X is similar to triangle C B A Triangle Z Y X is similar to triangle A B C Mark this and return
Mathematics
2 answers:
lys-0071 [83]2 years ago
4 0

Answer:

The answer is C

Step-by-step explanation:

zavuch27 [327]2 years ago
3 0

Answer:

  (c)  Triangle Z Y X is similar to triangle C B A

Step-by-step explanation:

Triangles are similar when corresponding sides have the same ratio. Corresponding sides will have corresponding end point vertices. The similarity statement lists corresponding vertices in the same order.

__

<h3>corresponding sides</h3>

The side lengths, smallest to largest, for the two triangles are ...

  • 3 cm -- ZY
  • 6 cm -- YX
  • 7 cm -- XZ

And for the other triangle, ...

  • 6 cm -- BC
  • 12 cm -- AB
  • 14 cm -- AC
<h3>corresponding vertices</h3>

The points joining the each side to the next one longer, in order for the two triangles, are ...

  Y, X, Z  and  B, A, C

The vertices corresponding to ZYX in the same order are CBA.

  triangle ZYX is similar to triangle CBA

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Hello!
avanturin [10]

Answer:

  • 7.71 km²

Step-by-step explanation:

<u>Area of triangle:</u>

  • A = 1/2bh

We have the value of b but not h.

Added auxiliary segments which help to find the value of h.

<em>See attached for details</em>

  • sin 40° = h/4
  • h = 4 sin 40°
  • h = 2.57 km

<u>The area is:</u>

  • A = 1/2*6*2.57 = 7.71 km²

6 0
2 years ago
Read 2 more answers
The Royal Fruit Company produces two types of fruit drinks. The first type is 70% pure fruit juice, and the second type is 85% p
djyliett [7]

Let x = amount of 70% juice we use.

Then 60-x = amount of 85% juice we'll use.

We'll set up an equation that is based on how much pure juice comes from each component and how much we need in the final mixture.

So 70% of x plus 85% of (60-x) must equal 80% of 60, or...

    0.7x + 0.85(60-x) = 0.8(60)

    0.7x + 51 - 0.85x = 48

    -0.15x + 51 = 48

    -0.15x = -3

     x = 20

Then 60 - x = 60 - 20 = 40

Check: 70% of 20 pints = 14 pints of pure juice.

            85% of 40 pints = 34 pints of pure juice

            That's 48 pints of pure juice in the mix, which matche 80% 0f 60 pints.

You'd need 20 pints of the 70% juice and 40 pints of the 85% juice.

4 0
3 years ago
560 + 400=
jeka57 [31]

Answer:

Can you write it again... I dont underestand sorry

6 0
2 years ago
-(v + 7) -3 = -26 + v
liq [111]

Answer:

v = 8

Step-by-step explanation:

-v -7-3 = -26+v

2v = -10+26

2v = 16

v = 8

4 0
3 years ago
Please someone help I need the answers today
vichka [17]

Answer:

Step-by-step explanation:

M angle A equals 130 degrees, M angle B equals 50 degrees and M angle C equals 130 degrees. key words to remember is interior, exterior and corresponding angles.

3 0
3 years ago
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