Answer:
m<1 = 57°
m<2 = 33°
Step-by-step explanation:
To find the numerical measure of both angles, let's come up with an equation to determine the value of x.
Given that m<1 = (10x +7)°, and m<2 = (9x - 12)°, where both are complementary angles, therefore, it means, both angles will add up to give us 90°.
Equation we can generate from this, is as follows:
(10x + 7)° + (9x - 12)° = 90°
Solve for x
10x + 7 + 9x - 12 = 90
Combine like terms
19x - 5 = 90
Add 5 to both sides
19x = 90 + 5 (addition property not equality)
19x = 95
Divide both sides by 19
x = 5
m<1 = (10x +7)°
Replace x with 5
m<1 = 10(5) + 7 = 50 + 7 = 57°
m<2 = (9x - 12)
Replace x with 5
m<2 = 9(5) - 12 = 45 - 12 = 33°
Yes, the variable of interest is two-dimensional.
If you are making a graph about the area of a country, that is a two dimensional measurement. It would be ok to make a graph that is also 2 dimensional.
The value of the expression 1/√2 + π where the given parameters are π = 3.141 and √2 = 1.414 is 3.848
<h3>How to evaluate the expression?</h3>
The given parameters are
π = 3.141
√2 = 1.414
The expression to evaluate is given as:
1/√2 + π
Start by substituting π = 3.141 and √2 = 1.414 in the expressions 1/√2 + π
1/√2 + π = 1/1.414 + 3.141
Evaluate the quotient
1/√2 + π = 0.707 + 3.141
Evaluate the sum
1/√2 + π = 3.848
Hence, the value of the expression 1/√2 + π where the given parameters are π = 3.141 and √2 = 1.414 is 3.848
Read more about expressions at:
brainly.com/question/723406
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<u>Complete question</u>
By taking π = 3.141 and √2 = 1.414, evaluate 1/√2 + π up to three places of decimals.
61+58=119
180-119=61=angle 2
180-61=119=angle 4
Actually, the area of the square is 49 cm^2.
The length of one side is sqrt(49 cm^2) = 7 cm (answer)