The diagram provided is an isosceles triangle. An isosceles triangle has two sides having equal measure and two base angles also having equal measure.
From the marks on the triangle given, line ZX and line ZY are equal in length. This also means angle X and angle Y are equal in measure.
Therefore, we would have;
This means angle X and angle Y both equal 27 degrees each.
Note that the sum of angles in a triangle is 180. Therefore, in triangle ZXY,
Answer:
angle G = angle I
HGI=HIJ by RHS fact
HGI=HIJ corresponding angles are alwyas congurrent
Answer:
w = x/50% = x/50/100
Step-by-step explanation:
We would turn the above question into an algebraic expression using variables.
To make a sugar syrup, we need sugar and water to form the solution.
Amount of sugar = x gram
Let amount of water = w gram
Sugar syrup solution = 50%
Sugar syrup solution = (amount of sugar)/(amount of water) × 100
50% = x/w × 100%
50% = x/w
Making w subject formula
w = x/50%
w = x/50/100
Answer:
C
Step-by-step explanation:
We know that A is not true because the angle is formed by rays, not line segments. We know this because the ends of the lines are arrowheads, which indicates that they are rays. You might be saying that A is true because BA and BC form the angle but actually, even if you removed points A and C, you would still have the angle. B is not correct because according to the diagram, the vertex is point B, not point A. The vertex of an angle is the common endpoint of the two rays that form the angle, therefore it would be point B. D is not correct because angles can have multiple names, the letters do not have to be in alphabetical order. Therefore, C is correct.
Answer:
Pool B has the greater circumference.
Step-by-step explanation:
Pool A has a radius of 16 feet, and Pool B has a diameter of 9.94 meters.
We want to see which pool has a greater circumference.
The circumference of a circle is the distance around a circle or the total length of a circle, and it is given as:
where r = radius of the circle
So that our comparison can be accurate, let us put the dimensions of both pools in a single unit, metre.
The radius of pool A is 16 feet.
1 foot = 0.305 metres
16 feet = 4.88 metres
The radius of pool A in metres is 4.88 metres
CIRCUMFERENCE OF POOL A
CIRCUMFERENCE OF POOL B
As we can see, pool B has the greater circumference.
