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Talja [164]
3 years ago
13

Triangles A B C and X Y Z are shown. Which would prove that ΔABC ~ ΔXYZ? Select two options. StartFraction B A Over Y X = StartF

raction B C Over Y Z EndFraction = StartFraction A C Over X Z EndFraction StartFraction B A Over Y X = StartFraction B C Over Y Z EndFraction , angle C is-congruent-to angle Z StartFraction A C Over X Z EndFraction = StartFraction B A Over Y X EndFraction , Angle A is-congruent-to Angle X StartFraction B A Over Y X EndFraction = StartFraction A C Over Y Z EndFraction = StartFraction B C Over X Z EndFraction StartFraction B C Over X Y EndFraction = StartFraction B A Over Z X EndFraction , Angle C is-congruent-to angle X.
Mathematics
2 answers:
sergejj [24]3 years ago
5 0

Answer: Answer is 3

BC        6

------ = ------

XY         3

Step-by-step explanation:

The statements below can be used to prove that the triangles are similar.

On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long.  

A B Over X Y = 4 Over 2

?  

A C Over X Z = 52 Over 13  

△ABC ~ △XYZ by the SSS similarity theorem.

Which mathematical statement is missing?

1.   Y Z Over B C = 6 Over 3  

2.  ∠B ≅ ∠Y

3.  B C Over Y Z = 6 Over 3  

4.  ∠B ≅ ∠Z

Lady_Fox [76]3 years ago
4 0

Answer:

  • StartFraction B A Over Y X = StartFraction B C Over Y Z EndFraction = StartFraction A C Over X Z EndFraction
  • StartFraction A C Over X Z EndFraction = StartFraction B A Over Y X EndFraction , Angle A is-congruent-to Angle X

Step-by-step explanation:

Given the way the triangles are named, corresponding sides are ...

  (BA, YX), (BC, YZ), (AC, XZ)

and corresponding angles are ...

  (A, X), (B, Y), (C, Z).

Similarity can be shown by having all three sides proportional (SSS), or by having any two angles congruent (AA), or by having two proportional sides and the angle between them (SAS).

__

The offered answer choices (in order) are ...

  • SSS similarity (one of the answers)
  • SSA similarity (not an option--except in a special case where more information is available)
  • SAS similarity (one of the answers)
  • non-corresponding sides proportional (nonsense)
  • non-corresponding sides and non-corresponding angles (nonsense)
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A 7-pack of plastic rings costs $2.52. What is the unit price? per ring?​
VikaD [51]

Answer:

7 rings = $2.52

then 1 ring will cost = 1/7×2.52

= 0.36

Therefore 1 ring will cost $0.36.

4 0
3 years ago
A line has a slope of 10 and includes the points (3, n) and (4,0). What is the value of n?<br> n =
ExtremeBDS [4]

Answer:

The value of n = -10  

Step-by-step explanation:

Given the points

  • (3, n)
  • (4,0)

Finding the slope between (3, n) and (4,0)

\left(x_1,\:y_1\right)=\left(3,\:n\right),\:\left(x_2,\:y_2\right)=\left(4,\:0\right)

As slope = 10

using the formula

Slope  =  [y₂ - y₁] /  [x₂ - x₁]

so substituting the values

      10   =  [0 - n] / [4 - 3]

      10   = -n / 1

     10 = -n

     n = -10    

Therefore, the value of n = -10  

8 0
3 years ago
Solve for x 2x + 4x + 3 = 7 – x + 10
nevsk [136]
Setting up the equation
_______________________
1)Add two x and four x together on the left side. On the right, add 10 and 7.
6x+3=17-x
______________________
Solve:
2)Add x to both sides.
7x+3=17
3) Minus 3 from both sides
7x=15
Divide 15 by seven.
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8 0
3 years ago
The area between z = 1.74 and z = 1.25<br> Round your answer to three decimal places.
balu736 [363]

Answer:

The area between z = 1.74 and z = 1.25 is of 0.065.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The area between two values of Z is given by the subtraction of the pvalue of the larger value by the smaller.

The area between z = 1.74 and z = 1.25.

This is the pvalue of z = 1.74 subtracted by the pvalue of z = 1.25.

z = 1.74 has a pvalue of 0.959

z = 1.25 has a pvalue of 0.894

0.959 - 0.894 = 0.065

The area between z = 1.74 and z = 1.25 is of 0.065.

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