Part 1) Finding x
Note the double tickmarks for segments XY and YZ. This indicates the segments are the same length, which leads to point Y being the midpoint of segment XZ.
Therefore, XZ is twice as long as XY
XZ = 2*( XY )
XZ = 2*( 2x-1 )
XZ = 4x - 2
We also know that XZ = 2(3x-4) = 6x-8. Let's equate 4x-2 and 6x-8 and solve for x
6x-8 = 4x-2
6x-4x = -2+8
2x = 6
x = 6/3
x = 3
<h3>Answer is 3</h3>
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Part 2) Finding the length of YZ
The resut of part 1 (x = 3) is plugged into the equation for XY to get
XY = 2*x-1
XY = 2*3-1
XY = 6-1
XY = 5
Segment XY is 5 units long. So is segment YZ as these two segments are the same length (aka congruent).
<h3>Answer: 5</h3>
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Part 3) Finding the length of segment XZ
The answer from the previous part was 5. This doules to 5*2 = 10
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A longer way to get the same answer is to plug x = 3 into the XZ equation and we get...
XZ = 2*(3x-4)
XZ = 2*(3*3-4)
XZ = 2*(9-4)
XZ = 2*5
XZ = 10
and we get the same answer
<h3>Answer: 10</h3>
Using a calculator with the binompdf and binomcdf features, I can calculate these values. My calculator is a TI-83 plus, and the features are found under the 2nd, Vars keys (Scroll up or down until you see them).
If "exactly" is to be found, use binompdf:
binompdf(number of trials, probability of success, exactly number)
ANSWER for exactly 3: binompdf(8, 0.5, 3) = 0.21875 = 21.875%
If "at least" is to be found, use binomcdf:
binomcdf(number of trials, probability of success, at least number - 1)
ANSWER for at least 6: binomcdf(8, 1/2, 5) ≈ 0.8555 ≈ 85.55%
If "at most" is to be found, use binomcdf:
binomcdf(number of trials, probability of success, at most number)
ANSWER for at most 3: binomcdf(8, 0.5, 3) ≈ 0.3633 ≈ 36.33%
Answer:
∠W = 16.3°
Step-by-step explanation:
In ΔVWX, v = 64 cm, w = 18 cm and x=63 cm. Find the measure of ∠W to the nearest degree.
From that above question, we are given 3 sides and we are to find the angle of one of the sides.
We solve using Cosine rule.
∠W = arc cos (v² + x²﹣w²/2vx)
∠W = arc cos (64² + 63² - 18² /2 × 64 × 63)
∠W = arc cos (0.9599454365)
∠W = 16.27137°
∠W = 16.3°
Answer:
7
Step-by-step explanation:
The centroid divides the median in a 2:1 ratio. Therefore,
AD = 2DM
x + 3 = 2(2x - 1) Remove parentheses
x + 3 = 4x – 2 Add 2 to each side
x + 5 = 4x Subtract x from each side
3x = 5 Divide each side by 3
x = ⁵/₃
AM = AD + DM
= (x + 3) + (2x – 1)
= 3x + 2 Substitute the value of x
= 3 × ⁵/₃ + 2
= 5 + 2
= 7
Length of median AM = 7.
Answer:
3 ways
Step-by-step explanation:
n = 3; r = 2
