Answer:
ntersecting lines DA and CE.
To find:
Each pair of adjacent angles and vertical angles.
Solution:
Adjacent angles are in the same straight line.
Pair of adjacent angles:
(1) ∠EBD and ∠DBC
(2) ∠DBC and ∠CBA
(3) ∠CBA and ∠ABE
(4) ∠ABE and ∠EBD
Vertical angles are opposite angles in the same vertex.
Pair of vertical angles:
(1) ∠EBD and ∠CBA
(2) ∠DBC and ∠EBA
<h2>
Word Problem</h2>
To form equations from word problems, we can do the following:
- Identify variables
- Find key information
- Identify word equations and translate into numerical equations
- Solve
<h2>Solving the Question</h2>
We're given:
- Let <em>x</em> be the number of individual tickets that were sold
- Let <em>y</em> be the number of group tickets sold
- Cost of 1x = 7 dollars
- Cost of 1y = 16 dollars
- Baseball team: 36 more x than y
⇒ x = 36 + y - Fundraiser raised 574 dollars in total
⇒ 7x + 16y = 574 dollars
Question: How many individual tickets were sold? (What is the value of <em>x</em>?)
Here are all the equations we have created:
We can solve for the value of <em>x</em> using systems of equations.
First, isolate <em>y</em> in the first equation:

Now, plug this into the second equation:

Therefore, <em>x</em> is equal to 50.
<h2>Answer</h2>
50 individual tickets were sold.
Answer:
175 meters, since its below sea level it would be- -400m - (-225m), subtracting with negative # and negative # is the equivalent of getting closer to zero, just figure out 400 - 225, and put a - symbol at the beginning of the number
9514 1404 393
Answer:
3/5 cup of fruit
Step-by-step explanation:
Dave is making 3 times his grandmother's recipe, so for 3 × 1/3 cup of nuts, he needs 3 × 1/5 cup of fruit:
3/5 cup of fruit for 1 cup of nuts
Answer:
x = 30° and y = 52°
Step-by-step explanation:
angles on the circle subtended by the same arc are congruent
x and 30° are on the same arc, then x = 30°
y and 52° are on the same arc, then y = 52°