Based on the side lengths alone, could the triangles be similar? Triangle R S T. Side R S is 3 centimeters, side S T is 6 centimeters, and side R T is 6.4 centimeters. Triangle W X U. Side W X is 16 centimeters, side X U is 7.5 centimeters, and side W U is 15 centimeters. No, the sides are not proportional. Yes, the sides are in the ratio 2:5. Yes, the sides are in the ratio 4:5. Yes, the sides are in the ratio 1:5.

The correct answer is b.) Yes, the sides are in the ratio 2:5.

Step-by-step explanation:

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Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

Yes they could be simiualr

Step-by-step explanation:

one is just bigger than the other

Yes, the sides are in the ratio 2:5.

Step-by-step explanation:

All sides divided by each congruent side are = to .4 and 2/5 is = to 4/10

The correct option is

(B) Yes, the sides are in the ratio 2:5.

Step-by-step explanation: We are given to check whether the triangles can be similar based on the side lengths alone.

From the figure, we note that

the sides lengths of the triangle RST are

RS = 3.0 cm, ST = 6.0 cm and RT = 6.4 cm.

and the corresponding side lengths of triangle XUW are

XU = 7.5 cm, UW = 15.0 cm and XW = 16.0 cm.

So, the ratio of the corresponding sides of the two triangles are as follows :

[tex]\dfrac{RS}{XU}=\dfrac{3}{7.5}=\dfrac{30}{75}=\dfrac{2}{5},\\\\\\\dfrac{ST}{UW}=\dfrac{6}{15}=\dfrac{2}{5},\\\\\\\dfrac{RT}{XW}=\dfrac{6.4}{16}=\dfrac{64}{160}=\dfrac{2}{5}.[/tex]

Therefore, we get

[tex]\dfrac{RS}{XU}=\dfrac{ST}{UW}=\dfrac{RT}{XW}=\dfrac{2}{5}=2:5.[/tex]

Hence, the corresponding sides are proportional and they are in the ratio 2 : 5.

Thus, (B) is the correct option.

Yes, the sides are in the ratio 2:5.

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