Answer:
d
Step-by-step explanation:
The triangles are similar, thus the ratios of corresponding sides are equal, that is
=
=
( cross- multiply )
5(2x + 1) = 8(x + 4) ← distribute parenthesis on both sides )
10x + 5 = 8x + 32 ( subtract 8x from both sides )
2x + 5 = 32 ( subtract 5 from both sides )
2x = 27 ( divide both sides by 2 )
x = 13.5 → d
Answer: 
Step-by-step explanation:
Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.
Therefore, you need to remember the following identity:

Then, knowing that:

You need to substitute these values into
:

Now, you can solve for "x":

Rounded to the nearest hundreth:

Answer:
110 students walk or bike to school.
Step-by-step explanation:
48% of the 208 students walk, whereas 5% bike. Combining 48% and 5%, we get 53%.
53% of the total number, n, comes to 208 students.
This number is 0.53(208 students), or 110 students.
110 students walk or bike to school.
Answer:
slope : 3/2 Y-intercept : 3 ------------> (0,3) (2,6) are the points
Step-by-step explanation:
<u>X | Y</u>
0 | 3
2 | 6
Perpendicular has the reciprocal slope and u have to put the point given into point slope.
y-3=9/2(x-4)
(The slope of the original equation was -2/9)