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Daniel [21]
3 years ago
9

Line segment Z E is the angle bisector of AngleYEX and the perpendicular bisector of Line segment G F. Line segment G X is the a

ngle 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. Triangle G E F has angles with different measures. Point A is at the center. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Z, and A Y. Which must be true? Please Hurry I don't have a lot of time to finsh my test!

Mathematics
2 answers:
ladessa [460]3 years ago
5 0

Answer:

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

Step-by-step explanation:

The center of insribed circle into the triangle is the point where the angle bisectors of the triangle meet.

The center of circumsribed circle over the triangle is the point where the perpendicular bisectors of the sides meet.

Line segments ZE, FY and GX are both angle bisectors and perpendicular bisectors of the sides, so the point of intersection of line segments ZE, FY and GX is the center of inscribed circle into the triangle and the center of the circumscribed circle over the triangle. Inscribed circle passes through the points X, Y and Z. Circumscribed circle passes through the points E, F and G. So, point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.

Bumek [7]3 years ago
3 0

Answer:

C

Step-by-step explanation:

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Pierre wants to make tables and chairs. He has a total of 220 wooden boards and 760 nails. 13T+8C≤220 represents the number of t
Alisiya [41]

Answer:

Pierre has enough boards and nails to make 9 tables and 5 chairs.

Step-by-step explanation:

13T+8C ≤ 220

Let us substitute 9 for T and 5 for C and check.

13(9) + 8(5) = 117 + 40

= 157 < 220

So, 220 wooden boards are sufficient to make 9 tables and 5 chairs.

48T+37C ≤ 760

Substitute 9 for T and 5 for C.

48(9)+37(5) = 432 + 185

= 617 < 760

So, 760 nails are sufficient to make 9 tables and 5 chairs.

Hence, Pierre has enough boards and nails to make 9 tables and 5 chairs.

3 0
2 years ago
An ant can travel at a constant speed of 980 inches every 5 minutes. At this rate, how far can the ant travel in 7 minutes? *
Luda [366]
Answer: 1,372
Reasoning:
980 divided by 5 = 196
196 times 7 = 1,372
5 0
2 years ago
On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?
Dafna11 [192]

Answer:

196 in ^2

Step-by-step explanation:

Formula for area of trapezium is h ( a + b )/ 2 so.....

14(10 + 18)/2=196

3 0
3 years ago
The table shows values for functions f(x) and g(x) .
sladkih [1.3K]
The first thing we must do for this case is to equal both functions and clear the value of x. Thus, we obtain the values that satisfy both equations.
 However, there is another solution route. We have a table with the values.
 The solution for f (x) = g (x) will be all x satisfying both equations simultaneously.
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 f (1) = g (1) = 1/2
 answer
 x = 0
 x = 1
 Note:
 F (0) in the table is incorrect if the function is
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 F (0) in the table is correct if the function is
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5 0
3 years ago
NEED HELP ASAP PLEASE
kati45 [8]

Answer: its (0,2/3)

Step-by-step explanation: i say this because 2/3 equal 0.6 so 0.6 will be on the y-axis and 0 will be on the x-axis, this will equal a line that meats up wit R and is parallel to PQ. I hope this helps.

4 0
3 years ago
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