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3 years ago

Given that point U is the circumcenter of triangle xvz , which segments are congruent?

Mathematics

1 answer:

nirvana33 [79]3 years ago

8 0

Answer:

Congruent segments are line segments that have the same length. In the given figure we find that the point U is the center of the circle and the circumcenter (The point that is equidistant from each vertex of the triangle) of triangle VXZ.

Considering the information above, we have that the following segments are congruent:

$\overline{WX}\cong \overline{WV},\ \overline{VA}\cong\overline{AZ}$

$\overline{XY}\cong\overline{YZ}$

$\overline{UV}\cong \overline{UZ}\cong \overline{UX}$

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I am in high school in sxhool form an i just don't understand how to do BMI ( body mass index ) no matter how much i try paying

Rom4ik [11]

Using Imperial Measurements

Answer:

Square your height in inches. For example if you are 70 inches tall, then multiply 70 by 70. The answer would be 4,900.

Divide weight by height. If you weigh 180 pounds, then divide 180 by 4,900. The answer is 0.03673.

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2 years ago

A 4-foot tall child walks directly away from a 12-foot tall lamppost at 2 mph. How quickly is the length of her shadow increasin

xz_007 [3.2K]

Answer:

The length of the shadow is increasing with the rate of 1.5 feet per sec

Step-by-step explanation:

Let AB and CD represents the height of the lamppost and child respectively ( shown below )

Also, let E be a point represents the position of child.

In triangles ABE and CDE,

$\angle ABE\cong \angle CDE$ ( right angles )

$\angle AEB\cong \angle CED$ ( common angles )

By AA similarity postulate,

$\triangle ABE\sim \triangle CDE$

∵ Corresponding sides of similar triangles are in same proportion,

$\implies \frac{AB}{CD}=\frac{BE}{DE}$

We have, AB = 12 ft, CD = 4 ft, BE = BD + DE = 6 + DE,

$\implies \frac{12}{4}=\frac{6+DE}{DE}$

$12DE = 24 + 4DE$

$8DE = 24$

$DE=3$

Now, the speed of walking = 2 mph = $\frac{2\times 5280}{3600}\approx 2.933\text{ ft per sec}$

Note: 1 mile = 5280 ft, 1 hour = 3600 sec

Thus, the time taken by child to reach at E

$= \frac{\text{Walked distance}}{\text{Walking speed}}$

$=\frac{6}{2.933}$

= 2.045 hours

Hence, the change rate in the length of shadow

$= \frac{\text{Length of shadow}}{\text{Time taken}}$

$=\frac{3}{2.045}$

= 1.5 ft per sec.

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3 years ago

Determine the x-intercept and the y-intercept for the graph of this equation:<br> 2x - 3y + 36 = 0

natali 33 [55]

QUESTION:- DETERMINE THE X-INTERCEPT AND THE Y-INTERCEPT FOR THE GRAPH OF THE EQUATION.

EQUATION:- 2x - 3y + 36 = 0

STANDARD EQUATION:- y=mx+c

where

m-> slope.
c-> Y-INTERCEPT
x&y are the coordinates.

SO GIVEN EQUATION:- 2x - 3y + 36 = 0

WE CAN SOLVE THIS TO CHANGE IN FORMAT OF STANDARD EQUATION

$2x - 3y + 36 = 0 \\ 2x + 36 =3y \\ y = \frac{2}{3} x + \frac{36}{3} \\ y = \frac{2}{3} x + \frac{ \cancel{36}^{ \: \: 12} }{ \cancel3} \\ y = \frac{2}{3} x + 12 \\$

SO :-

$m = \frac{2}{3} \\ y - intercept = 12 \: ans$

$slope = \frac{y2 - y1}{x2 - x1} \\ \frac{2}{3} = \frac{0 - 12}{x - 0} \\ 2x = ( - 12) \times 3 \\ x = \frac{ - \cancel{12}^{ \: \: 6} \times 3 }{ \cancel{2}} \\ x = - 18 \: \: ans$

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3 years ago

Which statement correctly describes the diagram? Help it’s 8th grade 3x ams and I really need help ASAP , I already failed twice

Papessa [141]

Answer:

Step-by-step explanation:

the first part is definetly triangle b is a reflection of triangle a across the x axis i can't see the bottom part of the last answer but I'm pretty sure A would be correct because triangle c may be a rotation but it's most likely not a reflection of triangle a

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3 years ago

Find the slope between points (1,1) and (0,6)

ElenaW [278]

Answer:

6-1/0-1=5/-1

Step-by-step explanation:

change in y over change in x gives you gradient.therefore the gradient is negative 5

5 0

2 years ago

Read 2 more answers