Elements, they’re a pure substance and can’t be broken down into simpler substances.
Answer:
Step-by-step explanation:
2x+3x+5x = 180°
x = 18°
Angles: 36°, 54°, 90°
Answer:
The correct answer is option <em>B. AA</em>
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Step-by-step explanation:
Given two triangle:
and 
.
The dimensions given in are:
We know that the sum of three angles in a triangle is equal to 
.
The dimensions given in are:
We know that the sum of three angles in a triangle is equal to .
Now, if we compare the angles of the two triangles:
So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.
by <em>AA theorem.</em>
<em>So, correct answer is option B. AA </em>
Answer:
5 km
Step-by-step explanation:
We are given the distances walked by Maria;
We are required to determine the displacement from her starting point;
- We are going to use Pythagoras's theorem;
a² + b² = c²
Taking, the distances towards south and towards west as the legs of the triangle;
Then, c² = 3² + 4²
= 25
c = √25
= 5 km
Therefore, the displacement from the starting point is 5 km
Number 19 you are comparing one measurement to another. Since it says 1/2 inch equals 4 ft, we want to find out how many more inches are needed if the given scale was 2/3 = 4 ft. Now lets find a common denominator for both scales stated in inches. We have 2/3 inch and 1/2 inch. Our denominator are the bottom parts of the fraction where we need to find a common factor for the denominator so we can add or subtract fractions. We have a 3 and a 2. You may always use the multiplication between two denominators to find a common factor such as 3 times 2 which equals 6 for both denominators. Now we multiplied the 3 by 2 to get 6 so the top part (numerator needs to be multiplied the the 2 because we changed the bottom part by 2 as well. You should notice that when you reduce your fraction now 4/6 is 2/3. Just a self check example there. As for 1/2 we multiplied a 3 to get 6 for the denominator so we need to multiply the numerator by 3 as well. You now should have 4/6 and 3/6. Since the question asks for how many more inches we need to subtract 4/6 from 3/6 and we get 1/6 inch for our answer.
