Given m<ABC=88°.
<ABD=2x and <CBD=x-2.
Soltution. m<ABC is the sum of angles m<ABD and m<CBD.
So, we can setup an equation as
m<ABD + m<CBD = m<ABC.
Plugging values of m<ABD, m<CBD and m<ABC in above equation, we get
2x + x-2 = 88
Combining like terms 2x+x=3x, we get
3x-2=88.
Adding 2 on both sides,
3x-2+2=88+2.
3x=90.
Dividing both sides by 3, we get
3x/3=90/3
x=30.
Plugging value of x=30 in given values of m<ABD and m<CBD
<ABD=2x = 2(30) = 60° and
<CBD=x-2 = x-2 = 30-2 =28°.
Therefore, <ABD =60° and <CBD=28°.
Answer:
(A)
Step-by-step explanation:
The graph of any function (of 
) can be shifted horizontally by a number 
by replacing every in the function with 
. And, if we want to shift the graph vertically, we simply add the number we want to shift by (which I'll call 
) to every output of the function.
Functionally, if we have any function 
We can shift it horizontally by units and vertically by units by creating a function 
.
Notice that in this case, 
. So the graph of is shifted 2 units to the left, and 4 units down.
Or if this is too abstract of an explanation, then notice
![\sqrt[3]{x + 2} - 4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%20%20-%204)
looks similar to ![\sqrt[3]{x - h} - k](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20-%20h%7D%20%20-%20k)
. Specifically, if h = -2 and k = -4 (the graph is shifted two units left and 4 units down), then the function becomes equivalent to 
Answer:
3 1/3 times b
Step-by-step explanation:
- 10+3 = 13 (total of a and b)
= <u>3 1/3</u>
$12.6 -- 25% of 12.6 is exactly $3.15
I did this by taking 3.15 / 0.25
