Hello from MrBillDoesMath!
Answer:
See below
Discussion:
Triangles BAD and BCD are congruent by the SAS postulate.
* Side AD = DC because BD is the perpendicular bisector of AC.
* Angle ADB and CDB are both right angles, and hence equal, because
BD is the perpendicular bisector of AC)
Corresponding parts of congruent triangles are equal so angle BAD = angle BCD, which was to be proven.
Regards,
MrB
Answer:
The Total number of Professors = 48
Step-by-step explanation:
Given as,
The total number of Faculty = 136
And the Ratio of Professors to Lecturers = 6 Ratio 11
Now According to question
Professors : Lecturers = 6 : 11
So, Let the Number of Professors = 6x
And The Number of Lecturers = 11x
∴ 6x + 11x = 136
Or, 17x = 136
Or, x =
= 8
Hence, the number of Professors = 6 × 8 = 48 Answer
Answer:
um can you pleasee take a clearer picture thankyou I cant see the things inside the circle properly
Step-by-step explanation:
Hi, there.
For this question, we can apply the Pythagorean theorem
.
I'm sure you've seen this equation before, and they kind of tried to trip you up with this problem. Trust me, it's easier than it looks. Let's break it down.
Lengths a and b both have the value of 48, which means that the value s in
is 48, because the length of the hypotenuse is the same as the length and height squared multiplied by 2.
Plug in the value for c: 
Plug in the value for s:

Do the innermost exponents first:

The square root symbol and the power of 2 cancel each other out, so we are left with:
s =
, so the hypotenuse is 4608 inches.
Answer:
y < -8
Step-by-step explanation:
If a number is no more than it means that number is less.
The symbol for less is <
The word sentence "A number y is no more than -8" as an inequality is:
y < -8
Therefore the variable (or unknown) y is less than -8.