Answer:
YZ= 2.8
Step-by-step explanation:
3n+5=8n-9
-3n -3n
5=5n-9
+9. +9
14=5n
14÷5
2.8=n
Answer:
y = 3
x = 2
Step-by-step explanation:
-5x + 4y = 2
9x - 4y = 6
Sum both eq.
-5x + 9x = 4x
+4y - 4y = 0
2 + 6 = 8
then:
4x + 0 = 8
4x = 8
x = 8/4
x = 2
from the first eq.
-5x + 4y = 2
-5*2 + 4y = 2
-10 + 4y = 2
4y = 2 + 10
4y = 12
y = 12/4
y = 3
Check:
from the second eq.
9x - 4y = 6
9*2 - 4*3 = 6
18 - 12 = 6
If the angle G is moved to a different spot in the circle the angle FGH and angle FEH in the cyclic quadrilateral will change to make it supplementary.
<h3 /><h3>What is a cyclic quadrilateral?</h3>
A cyclic quadrilateral is quadrilateral inscribed in a circle. It has all its vertices on the circumference of the circle.
Opposite angles in a cyclic quadrilateral are supplementary angles. That means they add up to 180 degrees.
Therefore, if he adjust point G to a different spot on the circle, angle FGH and FEH will adjust to become supplementary.
learn more on cyclic quadrilateral here: brainly.com/question/27884509
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Answer:
6.28 cm
Step-by-step explanation:
The formula for the circumference of a circle with radius r is C = 2*pi*r.
If we let pi = 3.14 and r = 1 cm, then the circumference of this circle is
C = 2(3.14)(1 cm) = 6.28 cm