You are given that that m∠1 = 106° and m∠2 = 50° and PQ║JK
Since PQ and JK are parallel, then because of the alternate interior angles theorem, ∠5 = ∠2, so ∠5 = 50° as well.
∠1 and ∠8 are corresponding angles so therefore they are equivalent and ∠8 = 106°.
∠4 and ∠8 are corresponding so they are equivalent as well and ∠4 = 106°.
∠3 is alternate interior angles with ∠5 which we already found, so they are equivalent and ∠3 = 50°
∠7 and ∠8 are vertical angles so ∠7 = ∠8. We already found ∠8, it is 106°. Therefore ∠7 = 106°.
In summary,
∠4 = 106° because of corresponding angles with ∠8
∠3 = 50° because of alternate interior angles with ∠5
∠5 = 50° because of alternate interior angles with ∠3
∠8 = 106° because of corresponding angles with ∠1
∠7 = 106° because of vertical angles with ∠8
Hope this helps! ^-^
I don’t understand apply to what?
The interest is <span>$20 </span><span>and the amount is </span>$220<span>.
</span>
STEP 1: Find an interest by using the formula <span>I=P⋅i⋅t</span>, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this examplee P = $200, i = 5% and t = 2 years, so
<span><span>III</span><span><span>=P⋅i⋅t</span><span>=200⋅0.05⋅2</span><span>=20</span></span></span>
STEP 2: Find an amount by using the formula <span>A=P+I</span>.
Since P = $200 and I = $20 we have
<span><span><span>AAA</span><span><span>=P+I</span><span>=200+20</span><span>=220
Hope this helped have a wonderful day!</span></span></span></span>
(10x+5) + (6x-1)=180
10x+5+6x-1=180
16x+4=180
16x+4=180
16x=180-4
16x=178
x=11
Answer:
1/4
Step-by-step explanation:
y2-y1/x2-x1
6-5/ 0 - -4.... since it's two subtract signs facing each other you turn it into a +..... 1 /4
