4x-y=3 linear,2x²=12-8y linear,-6x=3y -17..linear
Answer:
m<AFE = 128°.
Step-by-step explanation:
<u>Step 1: Find the value of x</u>
<em>Angle EFD + Angle DFC = Angle EFC</em>
5x + 6 + 19x - 15 = 17x + 19
24x - 9 = 17x + 19
7x = 28
x = 4
<u>Step 2: Find all angles</u>
<em>Angle AFB=Angle EFD= 5x + 6</em>
5(4) + 6 = 26°
Angle DFC = 19x - 15
19(4) - 15 = 61°
<u>Step 3: Find angle AFE</u>
<em>Line BD is a straight line and all angles on a straight line are equal to 180°.</em>
<em>Angle AFB + Angle AFE + Angle EFD = 180°</em>
26 + BFC + 26 = 180°
BFC = 180 - 52
BFC = 128°
<em>Therefore, m<AFE is equal to 128°.</em>
!!
Answer:
720
Step-by-step explanation:
To solve this question, we would be using the formula for z- score
The formula for calculating a z-score is z = (x-μ)/σ
where x = raw score
μ = population mean
σ = sigma = population standard deviation.
From the question, we are given
The mean of a set of credit scores Mu = 690
sigma = population standard deviation 14
z - score = 3.3
This means we are to find x
z = (x-μ)/σ
3.3 = x - 690/ 14
Cross Multiply
3.3 × 14 = x - 690
46.2 = x - 690
x = 690 + 46.2
x = 736.2
Since we are told that it is a range, the closest out of the options given to our calculated x which is 736.2 is 720
P(volleyball and baseball) = 4/200 x 100 = 2%
P(either volleyball or baseball) = P(volleyball ∪ baseball) = P(volleyball) + P(baseball) - P(volleyball and baseball) = 12% + 15% - 2% = 25%.
25% play either volleyball or baseball.
Answer:
(C)Determine the principal square root of both sides of the equation.
Step-by-step explanation:
Given: Isosceles right triangle XYZ (45°–45°–90° triangle)
To Prove: In a 45°–45°–90° triangle, the hypotenuse is
times the length of each leg.
Proof:

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, 
Since a=b in an isosceles triangle:

Therefore, the next step is to Determine the principal square root of both sides of the equation.