<u><em>Answer:</em></u>
x = 25
y = 14
<u><em>Explanation:</em></u>
The described scenario can be represented using the attached triangle.
<u>1- getting the value of x:</u>
We know that ΔABC is an isosceles triangle with AC = BC
<u>This means that:</u>
∠CAB = ∠CBA
We know that ∠CAB = 50° and ∠CBA = 2x°
<u>Equating the two angles, we get:</u>
50 = 2x .................> Divide both sides by 2
x = 25
<u>2- getting the value of y:</u>
We know that the sum of the internal angles of a triangle is 180°
<u>This means that:</u>
∠ABC + ∠CAB + ∠ACB = 180°
<u>We have:</u>
∠ABC = 2x = 50°
∠ACB = 5y + 10
∠CAB = 50°
<u>Now, we substitute to get the value of y as follows:</u>
50 + 50 + 5y + 10 = 180
110 + 5y = 180
5y = 180 - 110
5y = 70 .............> Divide both sides by 5
y = 14
Hope this helps :)
Step-by-step explanation:
2A=h(a+b)
2A=ha+hb
2A-hb=ha
2A-hb/h=a
Answer:
The more often your interest compounds, the more interest you'll earn on your investment. It's easy to see that money grows more quickly when it's earning compound interest than when it's earning simple interest
Step-by-step explanation:
Answer: (A) and (B) are the same
Step-by-step explanation:
for (A)
x-=x+4
x=x-(x+4)
x=x-x-4
x=4
for (B)
x=x+4-x
x=4
for (C)
x=x-(x+4)
x=x-x-4
x=-4
so (A) and (B) are the same because the value of their x is +4
Answer: 81/16
Step-by-step explanation:
When you have a negative exponent, it is equivelant to taking the reciprocal of the exponential and making the exponent positive:
Distribute the exponent to the base. We are able to do this because the base is composed of a single term. If it were composed of addition and subtraction, you cannot distribute the exponent:
![\frac{1}{(2/3)^4}=\frac{1}{(2^4/3^4)}=\frac{1}{(16/81)}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%282%2F3%29%5E4%7D%3D%5Cfrac%7B1%7D%7B%282%5E4%2F3%5E4%29%7D%3D%5Cfrac%7B1%7D%7B%2816%2F81%29%7D)
Dividng by a fraction is equivalent to multiplying by the reciprocal:
![\frac{1}{(16/81)}=1\frac{81}{(16)}=\frac{81}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%2816%2F81%29%7D%3D1%5Cfrac%7B81%7D%7B%2816%29%7D%3D%5Cfrac%7B81%7D%7B16%7D)