Sin D= opp./hyp. = 35/37
cos D= adj./hyp. = 12/37
tan D= opp./ adj. = 35/12
Divide 20 by 2
20/2 = 10
Add and subtract 0.5* from 10
10 + 0.5 = 10.5
10 - 0.5 = 9.5
Those two numbers are your answer.
*The reason why we used 0.5 because the difference is 1, so divide 1 by 2.
Have an awesome day! :)
To solve for y, you need to separate it in one side and the other terms in the other side..... as follows:
<span>a(n+y)=10y+32a
an + ay = 10y + 32a
an - an + ay = 10y + 32a - an
ay = 10y + 32a - an
ay -10y = 32a - an
y (a-10) = (32 - n)a
y = {a(32-n)} / (a-10)
</span>
First lets find the value of x. We can do this by making m∠AEB and m∠DEC equal to each other in an equation because they are vertical angles (vertical angles are equal to each other).
Your equation should look like this: m∠AEB = m∠DEC
Plug in the values of m∠AEB and m∠DEC into the equation. Now your equation should look like this:
(3x + 21) = (2x + 26)
Subtract 2x from both sides.
x + 21 = 26
Subtract 21 from both sides.
x = 5
Now plug 5 for x in either ∠AEB or ∠DEC; I will plug it into ∠AEB.
m∠AEB = 3(5) + 21
15 + 21 = 36
m∠AEB = 36°, now since ∠AEB and ∠AED are forming a straight line, this means they are supplementary so they must add up to 180 degrees.
Make m∠AEB and m∠AED add up to 180 in an equation and solve for m∠AED.
36 + m∠AED = 180
Subtract 36 from both sides.
m∠AED = 144°
Answer:
x= -1
Step-by-step explanation:
1-3x=x²+6x+9
1-3x-x²-6x-9=0
-8-9x-x²=0
x²+9x+8=0
x²+8x+x+8=0
(x+8)(x+1)=0
x+8=0
x+1=0
sqrt 1-3(-8)=-8+3
sqrt 1-3(-1)=-1+3
5=-5
2=2
x≠8
x=-1
