Square both sides to get the binomial out of the square root:
(√(2x + 8))² = (2)²
2x + 8 = 4
2x = 4 - 8
2x = - 4
Divide both sides by 2 to isolate the variable X:
x = - 4 / 2
x = - 2
Your answer is option C.
First you need to find the mean & median:
mean:
93 + 91 + 98 + 100 + 95 + 92 + 96 = 665
665 / 7 = 95
median:
<u>91</u>, <em>92</em>, <u>93</u>, 95, <u>96</u>, <em>98</em>, <u>100</u>
95
Because the mean and median are the same, her next test score should be 95. The average of the current average and 95 (her next test score) is 95, so that will remain the same. If you add 95 to the median list,the median will still be 95. The same goes for the mean.Her next test score should be 95.
The length of the unknown sides of the triangles are as follows:
CD = 10√2
AC = 10√2
BC = 10
AB = 10
<h3>Triangle ACD</h3>
ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.
where
c = hypotenuse side = AD = 20
a and b are the other 2 legs
lets use trigonometric ratio to find CD,
cos 45 = adjacent / hypotenuse
cos 45 = CD / 20
CD = 1 / √2 × 20
CD = 20 / √2 = 20√2 / 2 = 10√2
20² - (10√2)² = AC²
400 - 100(2) = AC²
AC² = 200
AC = √200 = 10√2
<h3>
Triangle ABC</h3>
ΔABC is a right angle triangle too. Therefore,
Using trigonometric ratio,
cos 45 = BC / 10√2
BC = 10√2 × cos 45
BC = 10√2 × 1 / √2
BC = 10√2 / √2 = 10
(10√2)² - 10² = AB²
200 - 100 = AB²
AB² = 100
AB = 10
learn more on triangles here: brainly.com/question/24304623?referrer=searchResults
55-30=25
So it is + 25 dimes
