An isosceles triangle is a triangle that has 2 equal sides and 2 equal angles.
side XY = side XZ
∠Y = ∠Z
Since ∠Y = a° then ∠Z = a°
Because interior angles of a triangle sum up to 180°, we simply need to find the difference between 180° and the 2 known angles to solve for the measure of angle X.
∠X = 180° - 2a°
Mathematical expressions allow us to relate numbers using mathematical symbols to make calculations. some examples are:
- 2 + 3 = 5
- 4 - 1 = 3
- 2 × 2 = 4
- 4 ÷ 2 = 2
- 2² + 1 = 5
- (1 + 2) + (2 × 1) = 5
- (2 + 3) - 4 = 1
- (2 + 2)² ÷ 4 = 4
- (2 ÷ 4)² × 4 = 1
- (2 + 2)² (4 ÷ 2) - (2 × 4)(5 - 1) + 5 = 5
<h3>What is a mathematical expression?
</h3>
A mathematical expression is a sequence of characters that are intended to express a general relationship between the terms expressed in the formula.
Mathematical expressions generally have symbols like:
- Add +
- Subtraction -
- Multiplication ×
- Division ÷
- Exponent
- Equal =
- Parentheses ()
According to the above, some examples of mathematical expressions are:
- 2 + 3 = 5
- 4 - 1 = 3
- 2 × 2 = 4
- 4 ÷ 2 = 2
- 2² + 1 = 5
- (1 + 2) + (2 × 1) = 5
- (2 + 3) - 4 = 1
- (2 + 2)² ÷ 4 = 4
- (2 ÷ 4)² × 4 = 1
- (2 + 2)² (4 ÷ 2) - (2 × 4)(5 - 1) + 5 = 5
Learn more about mathematical expressions in: brainly.com/question/14712183
One data is missing. You need the volume of the pool or some data that permit you to calculate this volume.
The same statement given by you is part of a problem where you know a series of data that shows the time required to fill the pool at different flow rates:
flow rate time
60 gal/h 300 h => 60 gal/h * 300 h = 18,000 gal
45 gal/h 400 h => 45 gal/h * 400 h = 18,000 gal
36 gal/h 500 h => 36 gal/h * 500 h = 18,000 gal
30 gal/h 600 h => 30 gal/h * 600 h = 18,000 gal
So for, this pool to calculated (several times) that the volume is 18,000 gal.
Now you have two hoses one with a flow rate of 40 gal / h and the other with a flow rate of 60 gal/h.
The total flow rate is the sum of the two flow rates"
total flow rate = 40 gal/h + 60 gal/h = 100 gal/h
And you just must divide the volume of the pool (18,000 gal) by the total flow rate (100 gal/h) to get the time to fill the pool:
time = volume / flow rate = 18,000 gal / 100 gal/h = 180 h.
Answer: 180h
Answer:
Step-by-step explanation:
Given that Z the set of integers is the universal set and
A is given in set builder form.

To convert this into roster form, we can find solutions for x
When 
i.e. all integers lying between -2.236 and 2.236
The only integers satisfying this conditions are
-2,-1,0,1,2
Hence A in roster form is
A=
Answer:
C) 80
Step-by-step explanation:
triangles always add up to 180 degrees, so 80+20=100 the missing angle is 80 degrees