If angle D is congruent to angle E, then the triangle DFE is an isosceles triangle (look at the picture).
Therefore DF ≅ EF.
DE = x + 4, EF = 4x - 8, DF = 7x - 35
The equation:
7x - 35 = 4x - 8 <em>add 35 to both sides</em>
7x = 4x + 27 <em>subtract 4x from both sides</em>
3x = 27 <em>divide both sides by 3</em>
x = 9
DE = x + 4 → DE = 9 + 4 = 13
EF = 4x - 8 → EF = 4(9) - 8 = 36 - 8 = 28
DF = 7x - 35 → DF = 7(9) - 35 = 63 - 35 = 28
<h3>Answer:</h3><h3>x = 9, DE = 13, EF = 28, DF = 28.</h3>
Answer:
x= 2
Step-by-step explanation:
Given that,
AB = 7.5x
BC = 6x+3
AC = 10x-5
ΔABC is an equilateral triangle.For an equilateral triangle, all sides are equal. ATQ,
AC = BC = AB
10x-5 = 6x+3
Taking like terms together
10x-6x = 5+3
4x = 8
x = 2
Hence, the value of x is equal to 2.
I put 220 divided 3 and The answer is 7.3
Answer:
__63.81 inches__< μ <___65.87 inches__
Step-by-step explanation:
To calculate at 95% confidence interval, we need the Mean of the sample= 64.84
Sample size=32
Standard Deviation=2.9592
95% Confidence Interval: 64.84 ± 1.03
(63.81 inches to 65.87 inches)
"With 95% confidence the population mean is between 63.81 and 65.87, based on 32 samples."
