Answer:
The correct answer is option A.
Step-by-step explanation:
Given : line AB intersect CD at P. PR is perpendicular to AB.
∠APD = 170°
To find = ∠DPB =?
Solution :
line AB intersect CD at P:
So,∠APD =∠BPC = 170° ..[1]
(vertically opposite angles of two straight lines intersecting at common point are equal)
On line CD two angles are ∠BPC ,∠DPB
∠BPC + ∠DPB =180° (supplementary angles)
170°+ ∠DPB =180°
∠DPB =180° - 170° = 10°
So, the measure of ∠DPB is 10°.
Answer:
only A
Step-by-step explanation:
A is correct because if a number is less than 7, the number under the square root will be negative, and that will yield an imaginary (or non-real number)
B is incorrect because even if you choose a number less than 7, the result will still yield a real number
C is incorrect due to the same logic as B
D is incorrect because you can take the cube root of a negative number without it being non-real.
Answer:
288
Step-by-step explanation:
If 52% studied French, then 48% didn't. The ratio of those who didn't to those who did is ...
(didn't study French)/312 = 48%/52% = 12/13
Then the number that didn't study French is ...
(didn't study French) = 312 × 12/13 = 288 . . . . . . multiply above by 312
288 students chose not to take French their Junior year.
0.000045 = <span>00.00045 /10
=</span><span> 000.0045 / 100
</span>= 0000.045 / 1 000
= 00000.45 / 10 000
<span>= 000004.5 / 100 000 = 4.5 * 10^(-5)
That is in</span><span> scientific notation
I hope that helps
</span>
Answer:
y = -1/4(x +4)² +4
Step-by-step explanation:
The equation of a parabola with focus (a, b) and directrix y=d can be written using the form ...
y = 1/(2(b-d))(x -a)² +(b+d)/2
<h3>Application</h3>
We are given (a, b) = (-4, 3) and d=5. Using these values in the above form gives the equation ...
y = 1/(2(3-5))(x -(-4))² +(3+5)/2
y = -1/4(x +4)² +4
