Answer:
x = 50°
y = 50°
z = 80°
Step-by-step explanation:
working out x:
angles on a straight line add up to 180°
x + 130° = 180°
subtract 130 on both sides
x = 180° - 130°
x = 50°
working out y:
two vertical lines means that both sides are equal, so both angles are also equal (it's an isosceles triangle). This means that y is the same angle as x = 50°
y = 50°
working out z:
the sum of a triangle add up to 180°
add up the angles of x and y and equate to 180°
50 + 50 + z = 180
100 + z = 180
subtract 100 on both sides
z = 180 - 100
z = 80°
Answer:

Step-by-step explanation:
We are told that at the popular restaurant Fire Wok, 55% of guests order the signature dish.
To find the fraction of guests who ordered the signature dish we can write 55% as 55 divided by 100.

Upon simplifying our fraction we will get,

Therefore,
of the guests at the restaurant Fire Wok ordered the signature dish.
The parabola was moved up 4 on the y-axis
Answer:
Step-by-step explanation:
Let the blue point is located at the origin.
Therefore, coordinates of the vertices of the given triangle ABC will be,
A(2, 1), B(2, -1) and C(3, -1)
Rule for the dilation of a point (x, y) by a scale factor 'k' will be,
(x, y) → (kx, ky)
By applying this rule, coordinates of the image points of the vertices will be,
A(2, 1) → A'(2k, k)
→ A'(6, 3) for (k = 3)
B(2, -1) → B'(6, -3)
C(3, -1) →C'(9, -3)
The ratio in simplest form is:
A. 5:9