All categories

2 years ago

If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can ΔVZX and ΔWXZ be proven congruent by SAS? Why or why not?

Mathematics

2 answers:

IgorC [24]2 years ago

7 0

Answer:

I believe the answer is C, No, the sides of the triangles intersect.

Paul [167]2 years ago

4 0

Answer: The ΔVZX and ΔWXZ are not congruent by SAS.

Explanation:

It is given that the VX = WZ = 40 cm and ∠ZVX = ∠XWZ = 22°.

Draw a figure as shown below,

According to the SAS rule of congruence, two triangles are congruent if two sides and their inclined angle is equal.

From the given figure it is easily noticed that in ΔVZX and ΔWXZ,

$VX=WZ=40cm$ (given)

$\angle ZVX=\angle XWZ=22^{\circ}$ (given)

$XZ=XZ$ (common side)

Since we have two sides and one angle is same. but we can not conclude that the ΔVZX and ΔWXZ are congruent by SAS, because the given angle is not the inclined angle of both equal sides.

Therefore, the ΔVZX and ΔWXZ are not congruent by SAS.

You might be interested in

the length of the rectangle is measured as 370mm correct to 2 significant figures.a) what is the upper bound for the length?the

ivanzaharov [21]

Answer:

a) 375

b) 7062.75 mm²

Step-by-step explanation:

b) We need to find the shortest possible width and length to get the smallest possible area.

To get the boundaries for 19.4, we go on to the next significant figure (the hundredths) and ± 5 of them.

The boundaries are, therefore: 19.35 - 19.45

As for the length, we can see they've added 5 units as the measurement is correct to 2 sig' figures, which is the tens.

And so, if we do as we did before, we go to the next sig' figure (the units) and ± 5 of them, we get the boundaries to be 365 - 375.

Now, we just multiply the lower bounds of the length and width to get the minimal/lower-bound area:

365 * 19.35 = 7062.75 mm²

7 0

1 year ago

Suppose the population of a town is 15,200 and is growing 2% each year. a. Write an equation to model the population growth. b.

AleksandrR [38]

Try simplifying the number to start. For example, if the population of the town is 100 people and the population growth is 2%, then there will 102 people in the town next year (Y=1). Continue adding 2% to the population for each of 10 years to get the answer for the 10th year. Growth would be considered 100% of current population plus 2% additional for a total of 102% - convert 102% to to a factor and you will have your formula Y=15,200*1.02;18,529

4 0

2 years ago

iven: C is a point on the perpendicular bisector, l, of AB. Prove: AC = BC Use the drop-down menus to complete the proof. By the

ZanzabumX [31]

Answer:

See the attached figure for better explanation :

Step-by-step explanation :

1. By the unique line postulate, you can draw only one line segment : BC

Since only one line can be drawn between two distinct points.

2. Using the definition of reflection, reflect BC over l.

To find line segment which reflects BC over l, we will use the definition of reflection.

3. By the definition of reflection, C is the image of itself and A is the image of B.

Definition of reflection says the figure about a line is transformed to form the mirror image. Now, CD is perpendicular bisector of AB so A and B are equidistant from D forming the mirror image of each other.

4. Since reflections preserve length, AC = BC

In Reflection the figure is transformed to form a mirror image, Hence the length will be preserved in case of reflection.