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LuckyWell [14K]
3 years ago
9

ZE is the angle bisector of AngleYEX and the perpendicular bisector of Line segment G F. Line segment G X is the angle bisector

of AngleYGZ and the perpendicular bisector of Line segment E F. Line segment F Y is the angle bisector of AngleZFX and the perpendicular bisector of Line segment E G. Point A is the intersection of Line segment E Z, Line segment G X, and Line segment F Y.Which must be true? Point A is the center of the circle that passes through points E, F, and G but is not the center of the circle that passes through points X, Y, and Z. Point A is the center of the circle that passes through points X, Y, and Z but is not the center of the circle that passes through points E, F, and G. Point A is the center of the circle that passes through points E, F, and G and the center of the circle that passes through points X, Y, and Z. Point A is not necessarily the center of the circle that passes through points E, F, and G or the center of the circle that passes through points X, Y, and Z.

Mathematics
2 answers:
frozen [14]3 years ago
6 0

Answer:

Point A is the center of the circle that passes through points E, F, and G and the center of the circle that passes through points X, Y, and Z.

Step-by-step explanation:

A is the intersection of angle bisectors, so is the incenter of triangle EFG. It is also the intersection of the perpendicular bisectors of the sides of triangle EFG, so is the circumcenter.

The altitudes at X, Y, and Z are perpendicular to sides EF, EG, and FG, and pass through the incenter, so X, Y, Z are points on the incircle.

A is the center of circles through E, F, and G, and through X, Y, and Z.

OverLord2011 [107]3 years ago
6 0

Answer:

Point A is the center of the circle that passes through points E, F, and G and the center of the circle that passes through points X, Y, and Z.

C on edg2020

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T<br> |3x°<br> --<br> V<br> W<br> Find the measure of angles T and V.<br> mZT=<br> o<br> mZV=
SIZIF [17.4K]

Answer:

∠T = 67.5

∠V = 22.5

Step-by-step explanation:

Angles of a triangle rule: The angles of a triangle should add up to equal 180

That being said we create an equation to solve for x

180 = 3x + x + 90 ( there is a right angle indicated by the square at the bottom right of the triangle. A right angle has a measure of 90 degrees so that is where the 90 cam from )

Now that we've created an equation we want to solve for x

180 = 3x + x + 90

step 1 combine like terms

3x + x = 4x

now we have 180 = 4x + 90

step 2 subtract 90 from each side

180 - 90 = 90

now we have 90 = 4x

step 3 divide each side by 4

4x / 4 = x

90 / 4 = 22.5

we're left with x = 22.5

Now we want to find ∠T and ∠V

To do so we replace x in the given expressions with 22.5

for ∠V

∠V = x so ∠V = 22.5

for ∠T

∠T = 3x

* replace x with 22.5 *

3 (22.5) = 67.5

Hence ∠T = 67.5

3 0
2 years ago
[18].Simplify (TTE): x(2x+y+5) - 2(x²+xy+5) + y(x + y) <br>​
Dovator [93]

Answer:

x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 5x -10  + y\²

Step-by-step explanation:

Given

x(2x+y+5) - 2(x\²+xy+5) + y(x + y)

Required

Simplify

We have:

x(2x+y+5) - 2(x\²+xy+5) + y(x + y)

Open brackets

x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 2x\²+xy+5x - 2x\²-2xy-10 + xy + y\²

Collect like terms

x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 2x\²- 2x\²+xy-2xy+ xy+5x -10  + y\²

x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 5x -10  + y\²

4 0
2 years ago
matt is standing on top of acliff 305 feet above a lake. the measurement of the angle of depression to a boat on the lake is 42.
Alex17521 [72]

Answer:

Matt is 338.7 feet.

Step-by-step explanation:

4 0
3 years ago
Mark is in training for a bicycle race. He needs to ride 50 km a week as part of his training. He rode 18.23 km on Monday and 13
konstantin123 [22]
The answer is B-about 18km


This is because you round 18.23 to 18km


then you round 13.94 to 14km


you add these rounded numbers together


you take it away from 50km


the answer would then me 18km


but it be ABOUT because that was only a rough estimate because it was rounded
5 0
3 years ago
Read 2 more answers
The HCF of 36 72 63<br>The LCM of 8 9 12​
MakcuM [25]

LCM of 8,9,12 is 72

HCF of 36 72 63 is 3

7 0
2 years ago
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