Answer:
Step-by-step explanation:
Given: MN ≅ MA
ME ≅ MR
Prove: ∠E ≅ ∠R
From the given diagram,
YN ≅ YA
EY ≅ RY
<EMA = <RMN (right angle property)
EA = EY + YA (addition property of a line)
NR = YN + RY (addition property of a line)
EA ≅ NR (congruent property)
ΔEMA ≅ ΔRMN (Side-Side-Side, SSS, congruence property)
<MNR ≅ MAE (angle property of congruent triangles)
Therefore,
<E ≅ <R (angle property of congruent triangles)
<em /><em>PURPLE MARBLES=P
WHITE MARBLES=W
</em>First, write out an equation showing the number of purple marbles.
P=5W-6
Then, write out the main equation.
W+P=96
W+5W-6=96
Add 6 to both sides.
W+5W=102
6W=102
Divide both sides by 6
W=17
Now that we know there are 17 white marbles, we can go back to the equation about how many purple marbles there are.
P=5W-6
Plug in the value for W, which is 17.
P=5(17)-6
P=85-6
P=79
To make sure your answer is correct, check your work by plugging in the values for P+W=96.
79+17=96
Answer: There are 79 purple marbles.
Answer:
hello : f(h(g(x)))= (4x - 9) + 4 /(4x - 9)
Step-by-step explanation:
calculate : h(g(x))
h(g(x)) = h(x - 2) = 4 (x -2) -1 = 4x - 8 -1
h(g(x)) = 4x - 9
calculate : f(h(g(x)))
f(h(g(x))) = f (4x - 9) = (4x - 9) + 4 /(4x - 9)
The interior angle of all of them is 180 degrees
