)
<span>tanx = 3/10 </span>
<span>x=16.7 B </span>
<span>2) </span>
<span>tan 64 = 173/x </span>
<span>x = 84.38 D </span>
<span>3) </span>
<span>tan21 = x/442 </span>
<span>x= 169.67 B </span>
<span>4) </span>
<span>tanx = 16.2/48.3 </span>
<span>x = 18.54 A </span>
<span>5) </span>
<span>tanx = 8/6.5 </span>
<span>x = 50.91 C </span>
<span>6) </span>
<span>tan89 = 1149/x </span>
<span>x=20.06 A </span>
<span>7) </span>
<span>tanx = 21/12 </span>
<span>x= 60.26 B </span>
<span>8) B </span>
<span>9) </span>
<span>tanx = 25/63 </span>
<span>x = 21.64 C </span>
<span>10) </span>
<span>tanx = 60/15 </span>
<span>x= 75.96 D</span>
<span>y=4x+8 is a linear function with slope 4 and y-intercept 8.
If x=0, y=8; the y-intercept is (0,8).
If x=1, y=4(1)+8 = 12
If x=5, y=28
and so on</span>
The answer is 12>x>-7
Step-by-step explanation:
it's first divided into 2 parts
1 . 15 > 2x - 9
2. 2x - 9 > -23
Then solve them individually.
let's do it,
<u>First half</u>
15 > 2x - 9
15+9 > 2x
24 > 2x
24/2 > x
12>x
<u>Second half</u>
2x-9>-23
2x>-23+9
2x>-14
x>-14/2
x>-7
<u>Joining of the two halves</u>
We have :
12>x>-7
Given: <span>y = x^2 + 6x - 5. Then a = 1, b = 6 and c = -5.
The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.
Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:
y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14
Then the vertex is (-3, -14).</span>
Answer:
Its b.
Step-by-step explanation:
m < 3 = m < 4 (vertical angles)
m < 1 = m < 5 ( alternate angles)
Therefore the triangles are similar.
