I think the remaining number is x
<u>Given</u>:
Line m is parallel to line n.
The measure of ∠1 is (4x + 15)°
The measure of ∠2 is (9x + 35)°
We need to determine the measure of ∠1
<u>Value of x:</u>
From the figure, it is obvious that ∠1 and ∠2 are linear pairs.
Thus, we have;

Substituting the measures of ∠1 and ∠2, we get;




Thus, the value of x is 10.
<u>Measure of ∠1:</u>
The measure of ∠1 can be determined by substituting x = 10 in the measure of ∠1
Thus, we have;



Thus, the measure of ∠1 is 55°
X + y = 120000
0.15x - 0.10y = 5500
Multiply both sides of bottom by 100 to remove decimals
x + y = 120000
15x - 10y = 550000
Multiply both sides of top by 10
10x + 10y = 1200000
15x - 10y = 550000
Add the two
25x = 1750000
x = 70000
He paid $70,000 for the property that made a profit, and paid $50,000 for the property that lost value.
Answer:
Laurie's maximum depth can be represented using the expressions :
(20 × 3) = 60
(3 × 4 × 5) = 60
Step-by-step explanation:
Each depth level at which ears are checked = 5 feets
Each Depth level at which instruments are checked = 20 feets
For Laurie to check her instrument ;
Number of times ears are checked = 20/5 = 4 times
This means that for Laurie to have checked her instrument 3 times :
(4 × 3 × 5) = 60 feets
Therefore, Laurie's maximum depth can be expressed as (4 × 3 × 5) = 60 feets
Answer: Rider B is farther from the base of the Starflyer by the Hinge Theorem
Step-by-step explanation: