The graph shows a
piecewise function, meaning that different functions are shows at different intervals (ranges of x-values).
1) One of the graphs is part of a parabola, meaning the equation is quadratic (has

). That equation must be

.
2) The other graph is a straight line, meaning it must be a linear equation. That equation must be x + 4.
Looking at the entire graph, you can see that the parabola starts from the left and ends with an open circle at x=2. An open circle means that the graph doesn't have a value at that point, x=2. The linear line starts with a filled point at x=2 and continues to the right. That means we're looking for the choice where:
1)

Since x=2 cannot be a point in the graph, and less than 2 means that the graph includes everything to the left of 2, but not including 2
2)

Since x=2 is a point in the graph, and greater than or equal to 2 means that the graph includes 2 and everything to the right of it
------
Answer: C)
y = 90°
Solution:
The reference image for the answer is attached below.
The sum of opposite interior angles is equal to the exterior angles.
m∠BAC + m∠ACB = 110°
m∠BAC + 70° = 110°
m∠BAC = 110° – 70°
m∠BAC = 40°
m∠BAD + m∠DAC = 40°
x + x = 40°
2x = 40°
Divide by 2 on both sides of the equation.
x = 20°
In triangle DAC,
Sum of all the angles of a triangle = 180°
m∠DAC + m∠ACD + m∠CDA = 180°
20° + 70° + m∠CDA = 180°
90° + m∠CDA = 180°
m∠CDA = 180° – 90°
m∠CDA = 90°
∠CDA and y lies on the straight line. So they form a linear pair.
y + m∠CDA = 180°
y + 90° = 180°
y = 180° – 90°
y = 90°
The value of y is 90°.
Answer:
cant see it
Step-by-step explanation:
just type it out
Step-by-step explanation:
Expanded Notation Form:
9,000,000
+ 400,000
+ 50,000
+ 2,000
+ 700
+ 20
+ 9
Answer:
The ratio of apples to peaches is 2 to 9.
Step-by-step explanation:
For every 1 apple, there are 3 bananas.
For every 3 peaches, there are 2 bananas.
To compare apples to peaches, we need to make the bananas in each of the proportions equal.
(1 apple = 3 bananas ) x 2 --> 2 apples= 6 bananas
(3 peaches = 2 bananas) x 3 --> 9 peaches= 6 bananas
Now that the bananas are equal and the other fruits are proportionate to the number of bananas, we can see that for every 2 apples there are 9 peaches.