Answer:
Option B) y = 50
Step-by-step explanation:
We are given the following information:
Two parallel lines are crossed by a transversal.
The attached image shows the intersection of transversal and the angles.
As clear from the image, the given pair of angles form alternate interior angles.
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent or equal
Thus, y = 50 degree
Answer:
(7, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
x = 2y + 5
x/3 - y = 4/3
<u>Step 2: Solve for </u><em><u>y</u></em>
- Substitute: (2y + 5)/3 - y = 4/3
- Multiply 3 on both sides: 2y + 5 - 3y = 4
- Combine like terms: -y + 5 = 4
- Isolate <em>y</em> term: -y = -1
- Isolate <em>y</em>: y = 1
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define: x = 2y + 5
- Substitute: x = 2(1) + 5
- Multiply: x = 2 + 5
- Add: x = 7
And we have our final answer!
1. subtract y from both sides 3y-4=y+10
. -3 -3
2.now you have -4=-2y+10 subtract 10 to both sides
-10 -10
3. you have -14=-2y divide
4. y=7
Answer: 701
Step-by-step explanation:
A heptagon has 7 sides, therfore a regular heptagon will have 7 equal sides
n = 7 (number of sides)
s = 13.9 (length of each sides of the heptagon)
r = 14.4 (The apothem)
The area of the regular heptagon can be calculated by:
Area = ½ n × s × r
Area = ½ × 7 × 13.9 × 14.4
Area = 700.56 square units
To the nearest whole number, will be:
Area = 701 square units
Answer:
10cm
Step-by-step explanation:
68-48=20
20/2=10