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victus00 [196]
2 years ago
9

Consider the two triangles. Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y ar

e congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32. How can the triangles be proven similar by the SAS similarity theorem? Show that the ratios StartFraction X Y Over V U EndFraction and StartFraction Y Z Over V W EndFraction are equivalent, and ∠U ≅ ∠X. Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y. Show that the ratios StartFraction U W Over Z X EndFraction and StartFraction X Y Over W V EndFraction are equivalent, and ∠W ≅ ∠X. Show that the ratios StartFraction X Z Over W U EndFraction and StartFraction Z Y Over W V EndFraction are equivalent, and ∠U ≅ ∠Z.
Mathematics
2 answers:
kenny6666 [7]2 years ago
6 0

Answer:

B. Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y.

mote1985 [20]2 years ago
4 0

Answer:

its B on edg

Step-by-step explanation:

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The sum of the interior angles of a polygon is
Crank

Answer:

D) 15

Step-by-step explanation:

The sum of the interior angles of a polygon is given by

(n - 2) \times 180

We have that, the sum of the interior angles of a polygon is

26 right angles. We want to find n, the number of sides.

We substitute into the formula to get:

(n - 2) \times 180 = 26 \times 90

Divide through by 90

2(n - 2) = 26

Divide through by 2

n - 2 = 13

n = 13 + 2

n = 15

6 0
1 year ago
Greta wants to give some money to her Aunt Rebecca who lives out of state. Greta thinks the only way to get the money to Rebecca
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The answer is C!
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8 0
1 year ago
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Nevin made tables of values to approximate the solution to a system of equations. First he found that the x-value of the solutio
prisoha [69]

Answer:

The correct option is B.

Step-by-step explanation:

The given equation are

y=4x-3

y=-5x+9

On solving both the equation, we get

4x-3=-5x+9

4x+5x=9+3

9x=12

9x=\frac{12}{9}=\frac{4}{3}

Put this value in the given equation.

y=4(\frac{4}{3})-3

y=\frac{16}{3}-3

y=\frac{16-9}{3}

y=\frac{7}{3}

The solution of the given system of equation is

(\frac{4}{3},\frac{7}{3})=(1.333,2.333)\approx (1.3,2.3)

The best approximation of the exact solution is (1.3,2.3). Therefore the correct option is B.

7 0
2 years ago
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. James has 16 ounces (oz.) of cookie dough. If he uses 0.56 oz. of cookie dough for each
Anna71 [15]

Step-by-step explanation:

<u>Step 1:  Find the reasonable estimate</u>

<u />Total\  Amount\  of\  Dough / Dough\  Per\  Cookie

16 / 0.56

28.571...

The closest number to 28 out of the option is 30.  Therefore, the correct option is D.

Answer: Option D

6 0
2 years ago
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Triangle MNO is an equilateral triangle with sides measuring 16 StartRoot 3 EndRoot units. Triangle M N O is an equilateral tria
Lesechka [4]

Answer:

The correct option is second one i.e 24 units.

Therefore the height of the triangle is

NR=24\ units

Step-by-step explanation:

Given:

An equilateral triangle has all sides equal.

ΔMNO is an Equilateral Triangle with sides measuring,

NM = MO = ON =16\sqrt{3}

NR is perpendicular bisector to MO such that

MR=RO=\dfrac{MO}{2}=\dfrac{16\sqrt{3}}{2}=8\sqrt{3} .NR ⊥ Bisector.

To Find:

Height of the triangle = NR = ?

Solution :

Now we have a right angled triangle NRM at ∠R =90°,

So by applying Pythagoras theorem we get

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the values we get

(MN)^{2} = (MR)^{2}+(NR)^{2}\\\\(16\sqrt{3})^{2}=(8\sqrt{3})^{2}+(NR)^{2}\\\\(NR)^{2}=768-192=576\\Square\ rooting\ we\ get\\NR=\sqrt{576}=24\ units

Therefore the height of the triangle is

NR=24\ units

6 0
1 year ago
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