Answer:
Last week Gullian walked 10 minutes more than Nancy.
Step-by-step explanation:
1. Nancy walk 50 minutes each day for 4 days last week, then the total number of minutes Nancy walked is
2. Gullian walked 35 minutes each day for 6 days last week, then the total number of minutes Gullian walked is
3. Since than last week Gullian walked 10 minutes more than Nancy.
Based on the given parameters of the question the correct angles are as follows;
The measure of the large angle is <u>155°</u>, and the measure of the small angle is <u>25°</u>
The reasons the above values are correct are given as follows:
The given parameters are;
The properties of the two angles = Supplementary angles (sum of 180°)
The measure of the larger angle = 7 × The measure of smaller angle - 20°
Required:
To find the measure of each angle algebraically
Solution:
An algebraic equation can be described as a mathematical expression having an equal to sign that relates variables representing unknown values or quantities
Let <em>L</em>, represent the measure of the larger angle and let <em>S</em>, represent the measure of the smaller angle, we have;
L + S = 180°...(1)
L = 7 × S - 20°...(2)
Therefore;
Plugging in the value of <em>L</em> from equation (2) in equation (1) gives;
L + S = 7 × S - 20 + S = 180
7·S + S - 20 = 180
Adding 20 to both sides gives;
7·S + S - 20 + 20 = 180 + 20 (addition property of equality)
8·S =180 + 20 = 200
The measure of the small angle, S = <u>25°</u>
L = 7 × S - 20
∴ L = 7 × 25 - 20 = 155
The measure of the large angle, L = <u>155°</u>
Learn more about the algebraic equations here: