Answer:
∠ 1 = 65°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
5x - 10 is an exterior angle of the triangle, then
5x - 10 = 3x + 40 ( subtract 3x from both sides )
2x - 10 = 40 ( add 10 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
The sum of the 3 angles in a triangle = 180° , so
∠ 1 + 40 + 3x = 180°
∠ 1 + 40° + 3(25) = 180°
∠ 1 + 40° + 75° = 180°
∠ 1 + 115° = 180° ( subtract 115° from both sides )
∠ 1 = 65°
The linear inequality wthat will not have a shared solution set with the graphed linear inequality is C. y > 5/3x + 2.
<h3>How to illustrate the information?</h3>
It should be noted that the graph shows the shaded area as y < 5/3x + 1.. The slope of the line will be 5/3.
The two parallel lines are the same. The graph of the inequality is also attached.
The complete question is:
Which linear inequality will not have a shared solution set with the graphed linear inequality?
A. y < 5/3x – 2
B. y < -5/3x + 1
C. y > 5/3x + 2
D. y > -5/3x + 2
Learn more about inequalities on:
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Hello there! To solve types of questions like these, we can write and solve a proportion. We are looking for the percentage of 380 out of 863.6. Let's set up the proportion like this: 380/863.6 = x/100. Cross multiply the values in order to get 38,000 = 863.6x. Now, divide each side by 863.6 to isolate the "x". 38,000/863.6 is 44.00185271 or 44 when rounded to the nearest whole number. 380 is appox. 44% of 863.6.
Answer:
$295.01
Step-by-step explanation:
Using the compounding continuously formula, we are looking for A. We have that P = 190; r = .11 (always use the decimal form of the rate!); and t = 4. Filling in we have:

Simplifying that multiplication:
.
On your calculator, raise e to the .44 power to get
A = 190(1.552707219) and
A = $295.01
Hello!

11 - (3x + 1) = 7(x - 6) + 2
Distribute the coefficients outside of the parenthesis:
11 - (3x) - (1) = 7(x) + 7(-6) + 2
Simplify:
11 - 3x - 1 = 7x - 42 + 2
Combine like terms:
10 - 3x = 7x - 40
Add 3x to both sides to isolate x:
10 = 10x - 40
Add 40 to both sides:
50 = 10x
Divide both sides by 10:
x = 5