4. The point Z is the orthocenter of the triangle.
5. The length of GZ is of 9 units.
6. The length of OT is of 9.6 units.
<h3>What is the orthocenter of a triangle?</h3>
The orthocenter of a triangle is the point of intersection of the three altitude lines of the triangle.
Hence, from the triangle given in the end of the answer, point Z is the orthocenter of the triangle.
For the midpoints connected through the orthocenter, the orthocenter is the midpoint of these segments, hence:
- The length of segment GZ is obtained as follows: GZ = 0.5 GU = 9 units. -> As z is the midpoint of the segment.
- The length of segment OT is obtained as follows: OT = 2ZT = 2 x 4.8 = 9.6 units.
<h3>Missing Information</h3>
The complete problem is given by the image at the end of the answer.
More can be learned about the orthocenter of a triangle at brainly.com/question/1597286
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Answer:
x=17/4
Step-by-step explanation:
(x-3)/(x+2)=1/5
cross product
1(x+2)=5(x-3)
x+2=5x-15
5x-x-15=2
4x-15=2
4x=2+15
4x=17
x=17/4
$1.80 if the question was ( he would have 3/5 of the amount he started with)
Decimal: 25.3333, but converted properly it is
.253333....(repeating) so to the nearest thousands it would be .253