Answer:
<u>∠ABC = 39°</u>
Step-by-step explanation:
Since ED bisects ∠CBD :
<u>∠EBD = ∠CBE = 30°</u>
<u />
Now, <u>∠ABD = ∠ABC + ∠CBE + ∠EBD = 99°</u>
Solving :
- 99° = ∠ABC + 30° + 30°
- ∠ABC = 99° - 60°
- <u>∠ABC = 39°</u>
Answer:
45
Step-by-step explanation:
We are assuming that the pole's shadow and buildings shadow are proportional so our ratio is
x/36=1.9/1.52
cross multiply
1.52x=68.4
simplify
x=45
Answer:
the vertex of the parabola is:(-2,0)
the focus of the parabola is:(-2,
)
the directrix of the parabola is:y=
Step-by-step explanation:
we know that for any general equation of the parabola of the type 
the vertex of the parabola is given by (h,k)
where 
and 
therefore by the given data we have h=-2 and k=0
hence vertex=(-2,0)
the general equation of the parabola of the type 
; the parabola symmetric around the y-axis has the focus from the centre i.e. the vertex (h,k) at a distance a as (h,k+a) and the directrix is given by y=k-a
so focus is 
now the directrix of the parabola is 
.
Answer:
D
Step-by-step explanation:
Look at the file i attached
Answer:
33%
Step-by-step explanation:
h steps:
Step 1: We make the assumption that 51 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=51$.
Step 4: In the same vein, $x\%=17$.
Step 5: This gives us a pair of simple equations:
$100\%=51(1)$.
$x\%=17(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{51}{17}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{17}{51}$
$\Rightarrow x=33.33\%$
Therefore, $17$ is $33.33\%$ of $51$.
