Hello,
To find the scale factor, we have to look at what's going on in the problem.
In point A, we are converting from (5, 3) to (7.5, 4.5).
We can write and solve equation to find the change (scale factor)
5x = 7.5 and 3x = 4.5
If you solve either equation, you will find the scale factor is 1.5.
Good luck,
MrEQ
Answer:
A. Adding the values of the intercepted arcs and that is equal to twice the angle measure
Step-by-step explanation:
The intersecting chords theorem states that when four line segments are formed by two chords intersecting in a circle, the product of the two line segments on one chord is equal to the product of the two line segments on the other chord
The angles of intersecting chords theorem states that the angles formed by the intersecting chords one half the sum of the arcs intercepted by the chords
In the diagram attached, we have;
∠x = ∠y + ∠z
m
= 2·∠z, m
= 2·∠y
∴ ∠x = (1/2) × m + m
m + m = 2 × ∠x
The correct option is therefore adding the values of the intercepted arcs and that is equal to twice the angle measure.
Step-by-step explanation:
cost of 1 kg of jam = x
cost of 1 kg of butter = y
3x + 2y = 29 .....1
6x + 3y = 54 .....2
.....1 × 2 both sides of equation
6x + 4y = 58 .....3
.....3 - ......2
y = 4
replace y = 4 in 1......
3x + 8 = 29
x = 7
Answer:
122 degrees, because x and z are alternate interior angles
122 degrees, because 58 degrees and z are same side interiors which add to 180
Step-by-step explanation:
1) we know that
m∠x=m∠z -----> by alternate interior angles
m∠x+58°=180° ----> by supplementary angles (form a linear pair)
m∠x=180°-58°=22°
therefore
m∠z=22°
2) m∠z+58°=180° ----> by same side interior angles
solve for z
m∠z=180°-58°=122°
therefore
122 degrees, because x and z are alternate interior angles
122 degrees, because 58 degrees and z are same side interiors which add to 180
The bike is now $500. The price goes down by 20% each year.
500(0.20) = 100
The bike decreases by $100 each year.
After 5 years at $100 less per year, the bike will be $0.00.
