The angle m∠AFE is 128 degrees.
<h3>How to find angles?</h3>
∠AFB ≅ ∠EFD
∠EFD = 5x + 6
m∠DFC = (19x - 15)°
m∠EFC = (17x + 19)°
m∠AFE = ?
m∠AFB + m ∠EFD + m∠AFE = 180
Therefore,
5x + 6 + 5x + 6 + m∠AFE = 180
5x + 5x + 6 + 6 + m∠AFE = 180
10x + 12 + m∠AFE = 180
10x + m∠AFE = 180 - 12
10x + m∠AFE = 168
m∠AFE = 168 - 10x
m∠EFC = m ∠EFD + m∠DFC
17x + 19 = 5x + 6 + 19x - 15
17x - 5x - 19x = 6 - 15 - 19
-7x = - 28
x = 28 / 7
x = 4
Therefore,
m∠AFE = 168 - 10x
m∠AFE = 168 - 10(4)
m∠AFE = 168 - 40
m∠AFE = 128°
Therefore, the angle m∠AFE = 128°
learn more on angles here: brainly.com/question/13212279
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The answer is 0.3413 because Explanation:
<span>z=<span><span>x−u</span>σ</span></span>, where <span>u=6 0andσ=10</span>.
Therefore the probability student finish the test between 50 to 60 minutes is,
<span>P<span>(50≤x≤60)</span>=P<span>(<span><span>50−60</span>10</span>≤z≤<span><span>60−60</span>10</span>)</span></span>
<span>P<span>(−1≤z≤0)</span>=P<span>(z≤0)</span>−P<span>(z≤−1)</span></span>
<span>=0.5000−0.1587=<span>0.3413</span></span>
What's The Fixed Point? Well, Let's Assume X=0, this is our point.
OR
I'm unaware of the nature of the question, so here are some different ways a fixed point is found based on the merits of the question.
The amount of carrots they each ate are the same because 12 is a multiple of 4. There are 3 4’s in one 12. If you multiply 1/4 times 3 you will get 3/12 because 1 x 3 = 3. And 4 x 3 = 12
Make 2 equations from the question first
x is the number of pints for type 1
y is the number of pints for type 2
The equation
x + y = 120
60% x + 85% y = 65% (x + y)
Solve the equation
From the 2nd equation
0.6x + 0.85y = 0.65(x + y)
0.6x + 0.85y = 0.65x + 0.65y
0.85y - 0.65y = 0.65x - 0.6x
0.2y = 0.05x
y = 4x
From the 1st equation
x + y = 120
x + 4x = 120
5x = 120
x = 24
y = 4x
y = 96
The first type should be 24 pints, the second type should be 96 pints
