Answer:
y = 43, z = 16
Step-by-step explanation:
congruent essentially means they're the same. If you mentally map one triangle onto the other, you'll see that 43, the hypotenuse, lines up with y, and 16 lines up with z.
Answer:
The answer is 60.
Step-by-step explanation:
÷
Now, apply the fraction rule(\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}):
×
Cross-cancel(common factor of 4):
×
Multiply:

Simplify:
12 x 5=60
The answer is 60
hope this helps :)
Answer: 13
Step-by-step explanation:
If you remember the quadratic equation formula;

You can easily extract what is under the root to find the discriminant.

a = 3
b = 7
c = 3

Answer:
The correct options are 1, 3 and 4.
Step-by-step explanation:
We need to find the expressions whose simplified form is a rational number.
Rational number: If a number is defined in the form of p/q where p and q are integers and q≠0, then it is called a rational number.
For example: 0,2, 4.3 etc.
Irrational number: If a number can not defined in the form of p/q, where p and q are integers and q≠0, then it is called an irrational number.
First expression is

12 is a rational number.
Second expression is

is an irrational number.
Third expression is

21 is a rational number.
Fourth expression is

5 is a rational number.
Therefore, the correct options are 1, 3 and 4.