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NikAS [45]
3 years ago
11

The measures of two angles have a a sum of 180°. The measures if the angles are in a ratio of 5:1. Determine the measures of bot

h angles by setting up and solving an equation.

Mathematics
1 answer:
Tasya [4]3 years ago
4 0

Answer:

one angle is 150 degrees and the other is 30 degrees.

Step-by-step explanation:

please kindly check the attached file for explanation.

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Given the expression -7+6i/2+3i , perform the indicated operation and write the answer in the form a + bi.
Andre45 [30]
\dfrac{-7+6i}{2+3i}\times\dfrac{2-3i}{2-3i}=\dfrac{(-7+6i)(2-3i)}{(2+3i)(2-3i)}=\dfrac{4+29i}{4-9i^2}=\dfrac4{13}+\dfrac{29}{13}i
8 0
3 years ago
11 –2<br><br> · <br> 3 –4<br><br> · <br> 6 2<br><br> =
Sav [38]

Answer: negative 243

11 - 2 x 3 - 4 x 62 =

11 - 6 - 4 x 62=

11 - 6 - 248=

5 - 248=

-243

4 0
3 years ago
Read 2 more answers
What’s the correct answer for this question?
crimeas [40]

ANSWER

l

Or

Or

EXPLANATION

The given line has slope,

and

We can find the equation in the point slope form, which is given by,

We substitute the point and slope to get,

We can also simplify further to get,

We make y the subject to get,

This is called the slope intercept form.

We could also write in standard form to get

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5 0
3 years ago
Sharma is building a shed and wants to determine the measurements for the roof. The span of the roof will be 10 feet and she pla
Stolb23 [73]

Answer:

In the figure below :

d = 2.08, e = 5, c = 5.42 , a = 22.78°, b = 67.22°

Step-by-step explanation:

Side lengths :

2\cdot e=10\\ \Rightarrow e=5 feet\\\frac{d}{e}=\frac{5}{12}\\\Rightarrow d=\frac{25}{12}\approx 2.08 feet

By pythagoras theorem,

c^2=d^2+e^2\\c^2=29.33\\c\approx 5.42 feet

Now to find angles,

a+b+90^{\circ}=180^{\circ}\\\Rightarrow a+b=90^{\circ}\\\tan a=\frac{d}{e}\\\Rightarrow \tan a =0.42\\\Rightarrow a=22.78^{\circ}\\\Rightarrow b=67.22^{\circ}



5 0
3 years ago
The boxed definition of absolute value states that |a|=-a if a is a negative number. Explain why |a| is always nonnegative, even
Temka [501]

Final answer:

Since absolute values determine the distance between the number and the value whether the value is positive or negative. As distance is always positive.

Thus, |a| is always nonnegative, even though |a|=-a for negative values of a.

Step-by-step explanation:

Step 1

It is said that |a| is always nonnegative even though even though |a|=-a for negative values of a.

Step 2

This is because by the definition of an absolute value, any real number inside an absolute value symbol || will always be positive.

7 0
2 years ago
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