Answer: ∠A=48°,∠B=48°,∠C=84°.
Step by-step explanation:
Given: AD and BE are the angle bisectors of ∠A and ∠B
i.e ∠6=∠7 ( ∵ Angles formed after AD bisected ∠A)
∠4=∠5 ( ∵ Angles formed after BE bisected ∠B)
Also, DE║AB
⇒ ∠2=∠7 (∵ Alternate interior angles)
∠3=∠6 (∵ Alternate interior angles)
And ∠ADE : ∠ADB =∠2:∠3= 2:9 =2x : 9x ..(1)
To Find: ∠A,∠B,∠C.
Solution: ∠2=∠7 (∵ Given) ...(2)
∠2=∠4 (∵ angles on the same segment) ...(3)
∠4=∠5 =∠B/2 (∵ Given) ...(4)
∴ In Δ ABD
∠3+∠4+∠5+∠7 = 180 (∵ Sum of interior angles of a triangle)
From equation 2,3,4,5, Put values
9x+2x+2x+2x =180°
⇒15x = 180°
⇒x=12°
Putting values in equation (4) ⇒ ∠ B =2*(2*12) = 48°
Also, <u>∠B=∠A=48°</u>
Now,in Δ ABC
∠C+∠B+∠A= 180°
⇒48°+48°+∠C= 180°
<u><em>⇒∠C=84°</em></u>
140, 170 would be too close to the bottom while the others would be too small
50 is
62.5% of 80
Divide 50 by 80 to get the decimal:
Multiply the decimal by 100:
Answer:
<em>She invested 1600 at 8% (to get the shown $160 interest)</em>
<em>and $7400 at 10% (to get the shown 640 interest)</em>
<em>If x = 4000 then $80 interest is x2 again = $160</em>
<em>and so forth $320 interest x 2 again = $640</em>
Step-by-step explanation:
<em>The format would always be for x and then where </em>
<em>investment - x = interest we can work out totals this way and find x.</em>
<em>9000-x = 800 is first equation and substituted into 2nd equation;</em>
<em>0.10x+0.08(9000−x)=800</em>
<em>Use the distributive property to multiply 0.08 by 9000−x.</em>
<em>0.10x+720−0.08x=800</em>
<em>Combine 0.10x and -0.08x to get 0.02x.</em>
<em>0.02x + 720 = 800</em>
<em>Subtract 720 from both sides.</em>
<em>0.02x=800−720</em>
<em>Subtract 720 from 800 to get 80.</em>
<em>0.02x=80</em>
<em>Divide both sides by 0.02.</em>
<em>x= 80 / 0.02</em>
<em>Make decimals numbers = 1 or above.</em>
<em>80 / 0.02 x 100</em>
<em>x= 8000 / 2</em>
<em>x = 4000</em>
A probability that has exactly one stage or one experiment is called simple probability.
In simple probability, there is just one event. For example, flipping a coin would be a simple event. There is just one event. When you flip two or more coins, that is called compound probability.
