Answer:
1. 90°
2. 90°
3. 40°
4. 45°
5. 45°
Step-by-step explanation:
<u>Given:</u> ΔABC,
CD⊥AB,
m∠A=50°,
m∠ACB=85°
<u>Solution:</u>
1. ∠ADC is a right ange, because CD⊥AB, so
2. ∠CDB is a right ange, because CD⊥AB, so
3. Consider triangle ACD. The sum of the measures of all interior angles is always 180°, so
4. By Angle Addition Postulate,
5. Consider triangle ABC. The sum of the measures of all interior angles is always 180°, so
<u>Answer:</u>
<u>Step-by-step explanation:</u>
------------(1) (given)
-------------(2) (given)
so,
f(x) = h(g(x)) (given)
= -----(from (1) and (2))
⇒-----(taking g(x) = k)
⇒ is the function.
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 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:
Step-by-step explanation:
2)
a) elimination method
b) substitution method
c) substitution method
For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.
For the second part we can substitute y as 2x+5 in the second equation and solve for x.
For the third part we can substitute y as 4x+3 in the first equation and solve for x.
3)
