8. complementary angles = 90°
3x+3+10x-4 = 90
13x-1 = 90
13x = 91
so x = 91/13= 7
then K = 3(7)+3 = 24°
so L = 10(7)-4 = 70-4 = 66°
9. P is three less than twice of Q
so P = 2Q-3
supplementary angles = 180°
P+Q = 180
(2Q-3)+Q = 180
3Q-3 = 180
3Q = 183
so Q = 183/3 = 61°
then P= 2(61)-3 = 122-3 = 119°
10. B is two more than three times of C so B= 3C+2
complementary angles = 90°
B+C= 90
(3C+2)+C=90
4C+2=90
4C= 88
so C= 22°
then B = 3(22)+2= 66+2 = 68°
The answer will probably be -0.665
480=60(v+s)
480=60v+60s
8=v+s
s=8-v...
480=80(v-s) using s from above we get:
480=80(v-(8-v))
6=v-8+v
6=2v-8
2v=14
v=7, and since s=8-v, s=1
So the rate of the team is 7m/s while the rate of the stream is 1m/s
The dimensions of the rectangular area of Tina's fence is 40 ft by 40 ft
<h3 />
<h3>Area of a rectangle:</h3>
where
l = length
w = width
She wants to create a rectangular area of 1,600 square feet for her pet . Therefore,
lw = 1600
Therefore,
perimeter = 160 ft
Then,
perimeter of rectangle = 2(l + w)
160 = 2(l + w)
l + w = 80
Let's combine the equations
lw = 1600
l + w = 80
l = 80 - w
Therefore,
w(80 - w) = 1600
80w - w² = 1600
Therefore,
w² - 80w + 1600 = 0
w² - 40w - 40w + 1600 = 0
w(w - 40) - 40(w - 40) = 0
(w - 40)(w - 40) = 0
w = 40 or 40
Therefore, the dimensions can be calculated as follows:
lw = 1600
40l = 1600
l = 1600 / 40
l = 40 ft
Therefore, the dimensions are 40ft by 40 ft
learn more on algebraic model here: brainly.com/question/4151078
Answer:
9.047619047619048
Step-by-step explanation:
