He is correct because he used the congruence postulates, theorems correctly.
The value of x from the given diagram is 20
<h3>Triangular altitude theorem</h3>
According to theorem, the right triangle altitude theorem is a result in elementary geometry that describes a relation between the altitude on the hypotenuse in a right triangle and the two line segments it creates on the hypotenuse.
Using the theorem above;
RT^2 = 9 * 16
RT^2 = 144
R = 12 units
Determine the value of x using the Pythagoras theorem;
x² =12² + 16²
x² = 144 + 256
x² = 400
Take the square root of both sides
x = √400
x = 20
Hence the value of x from the given diagram is 20
Learn more on triangular altitude theorem here: brainly.com/question/11236033
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Answer:
(0.88, 0,65)
Step-by-step explanation:
what do we have to do ? I assume we need to find the crossing point between the 2 lines.
when looking at the graphic, we can already rule out the first, third and fourth option.
none of the coordinates of that point is larger than 1 in any direction or smaller than 0.5.
so, just by looking at things I immediately "bet" on answer option 2 (0.88, 0.65).
but let's check.
y = -2x/5 + 1
y = 3x - 2
for the crossing point both functions must produce the same functional value.
=>
-2x/5 + 1 = 3x - 2
-2x/5 + 5/5 = 15x/5 - 10/5
-2x + 5 = 15x - 10
15 = 17x
x = 15/17 = 0.88...
y = 3×0.88... -2 = 0.65...
hurray, our original observation and "suspicion" is confirmed.