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pashok25
1 month ago
5

What are the coordinates of the circumcenter of this triangle? Enter your answer in the boxes.

Mathematics
1 answer:
PIT_PIT [12.4K]1 month ago
7 0
The circumcenter of the triangle is at the coordinates (2,1). To find this, we can outline the triangle based on the coordinates of points A (-1,5), B (-1,-3), and C (5,-3). Utilizing the distance formula helps us confirm that the triangle satisfies Pythagoras' theorem, hence it is a right triangle. In a right triangle, the circumcenter is located at the midpoint of the hypotenuse, which is determined to be (2,1).
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Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the len
Inessa [12570]
HJ is 4.0 and JE is 4. Here's a detailed explanation: It's mentioned that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem, the line segment that connects the midpoints of two sides is parallel to the third side and is half its length. As JH connects these midpoints, HJ = 1/2 (GF) and therefore the calculations show that HJ equals 8 and JE equals 4.
5 0
1 month ago
At a hot air ballon festival, Erica spots a red ballon due east at an angle of elevation of 36 degrees. She turns due west and s
Zina [12379]

Answer:

Step-by-step explanation:

Information provided

The eastern balloon makes an elevation angle of 36^{\circ} and is positioned at a height of 461 m.

The western balloon creates an elevation angle of 51^{\circ} and is positioned at a height of 296 m.

Considering that Erica is 1.6 m tall, the effective height of the Red balloon becomes 459.4 m,

while the effective height of the Blue balloon ends up at 294.4 m.

Utilizing trigonometric principles,

\tan 36=\frac{459.4}{d_1}

\tan 51=\frac{294.4}{d_2}

d_1=632.30 m

d_2=238.4 m

Now calculating the distance separating the two Balloons,

d=d_1+d_2

d=870.70 m

7 0
2 months ago
The yearbook club has 5 members returning from last year. They set up a booth in the cafeteria to recruit more members, and an a
Inessa [12570]
The graph will rise.
8 0
3 months ago
Read 2 more answers
leons older brother is 4and 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is leon
zzz [12365]

Answer: 4\frac{5}{12}\ feet

Step-by-step solution:

Leon’s older brother’s height is 4\frac{3}{4} feet

=\frac{16+3}{4}=\frac{19}{4} feet

Because Leon is 1/3 foot shorter than his brother,

Leon’s height = \frac{19}{4}-\frac{1}{3}

Convert to like fractions by multiplying numerator and denominator: multiply 3 for the first fraction and 4 for the second.

So, Leon’s height = \frac{57}{12}-\frac{4}{12}

=\frac{57-4}{12}\\=\frac{53}{12}=4\frac{5}{12} feet

Therefore, Leon’s height is 4\frac{5}{12}\ feet feet.

8 0
3 months ago
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