Answer:
F = 110°
I'm not sure, but since no one answered, here it goes...
Step-by-step explanation:
∵ FD = FE (Given in Diagram)
∴ ΔDFE is isosceles , ∴m∠E = m∠D
1 ) 3x + 14 = 5x
14 = 5x - 3x
14 = 2x
14 / 2 = x
7 = x
m∠E = 3*7 + 14 = 35°
m∠D = 5*7 = 35°
m∠F = 180 - (35+35)
m∠F = 110°
Answer:
9/40
Step-by-step explanation:
- Write down the percent divided by 100 like this:
22.5/100
- Multiply both top and bottom by 10 for every number after the decimal point:
- As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So,
(22.5*10)(100*10)= 225/1000
- Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(225,1000) = 25.
225 ÷ 25/ 1000÷25 = 9/40
Answer:
21/8 or 2 5/8
Step-by-step explanation:
7/2 miles is equal to 3 1/2 mile trail, or also a 3 2/4 mile trail. You then multiply 3 2/4 and 3/4 and get 2 5/8 or 21/8.
Answer:
Any negative number and 0 works for the expression.
Step-by-step explanation:
Looking at this type of equation, we know that either EVERY negative number and 0 or EVERY positive number and 0 will work for this equation, since nothing is being added and we're just working with absolutes/negatives.
Let's try a random positive number in the expression

So this positive number doesn't work, let's just test with another one.

So we know that positive numbers won't work with this expression.
Let's test 0 quickly, just to make sure.

So 0 works.
Let's try a few negative numbers now.

So yes, this does work. Let's try one more negative number.

This works. So, every negative number and 0 work with this equation.
Hope this helped!
Answer:
Option A, B and E
Step-by-step explanation:
Determinant = ad-bc
Let's look at the picture and solve all
<u><em>Option A)</em></u>
If the row ( c and d ) is zero, the determinant will be zero
=> a(0)-b(0)
=> 0-0
=> 0 (So, True)
<u><em>Option B) </em></u>
If a = b = c = d (Let's say 1), the determinant will be
=> (1)(1)-(1)(1)
=> 1-1
=> 0 (So, True)
<u><em>Option C)</em></u>
An Identity matrix is
=> ![\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D)
So , it's determinant will be
=> (1)(1)-(0)(0)
=> 1-0
=> 1 (So, False)
<u><em>Option D)</em></u>
The determinant with matrix will all positive numbers can be negative as well as positive. This is not necessary that it would be positive. (So, False)
<u><em>Option E)</em></u>
A zero matrix is
=> ![\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%260%5C%5C0%260%5Cend%7Barray%7D%5Cright%5D)
So, it's determinant is:
=> (0)(0)-(0)(0)
=> 0-0
=> 0 (So,True)