1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Amanda [17]
2 years ago
6

Find the value of x by filling in the blanks in the provided statement- reason solution

Mathematics
1 answer:
fgiga [73]2 years ago
3 0

Answer/Step-by-step explanation:

Given:

m<MNQ = 132°

m<Q = 54°

m<P = 3x

1. m<MNQ = m<P + m<Q

Reason: exterior angle theorem of a triangle

Plug in the values

2. 132° = 3x + 54°

Reason: Substitution

3. x = 26

Reason: Algebra

132 - 54 = 3x (substraction property of equality)

78 = 3x

78/3 = x (division property of equality)

26 = x

x = 26

You might be interested in
Perform the indicated operations. Write the answer in standard form, a+bi.<br> 5-3i / -2-9i
Vsevolod [243]

\huge \boxed{\mathfrak{Answer} \downarrow}

\large \bf\frac { 5 - 3 i } { - 2 - 9 i } \\

Multiply both numerator and denominator of \sf \frac{5-3i}{-2-9i} \\ by the complex conjugate of the denominator, -2+9i.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2-9i\right)\left(-2+9i\right)})  \\

Multiplication can be transformed into difference of squares using the rule: \sf\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2\right)^{2}-9^{2}i^{2}})  \\

By definition, i² is -1. Calculate the denominator.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{85})  \\

Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.

\large \bf \: Re(\frac{5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9i^{2}}{85})  \\

Do the multiplications in \sf5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9\left(-1\right).

\large \bf \: Re(\frac{-10+45i+6i+27}{85})  \\

Combine the real and imaginary parts in -10+45i+6i+27.

\large \bf \: Re(\frac{-10+27+\left(45+6\right)i}{85})  \\

Do the additions in \sf-10+27+\left(45+6\right)i.

\large \bf Re(\frac{17+51i}{85})  \\

Divide 17+51i by 85 to get \sf\frac{1}{5}+\frac{3}{5}i \\.

\large \bf \: Re(\frac{1}{5}+\frac{3}{5}i)  \\

The real part of \sf \frac{1}{5}+\frac{3}{5}i \\ is \sf \frac{1}{5} \\.

\large  \boxed{\bf\frac{1}{5} = 0.2} \\

3 0
2 years ago
A coordinate map of the local grocery store is shown below. Ice cream is located at the point (-8,0)(−8,0)left parenthesis, minu
Alona [7]

Answer:

Step-by-step explanation:

If on the coordinate map, ice cream is located at the point (-8,0) and sprinkles are located at the point (-8,6), we can find the distance between the coordinate points using the formula;

D = √(x2-x1)²+(y2-y1)²

Given

x1 = -8, y1 = 0, x2 = -8 and y2 = 6

Substitute

D = √(x2-x1)²+(y2-y1)²

D = √(-8-(-8))²+(6-0)²

D = √0²+6²

D = √36

D = 6units

Hence the distance between the coordinate points is 6units

7 0
3 years ago
What’s is 17 subtract 75
Taya2010 [7]
-58 is your answer. 
17 - 75 = -58
I hope this helps!
6 0
2 years ago
Read 2 more answers
The vertices of a triangle are p(3,7) Q(7,-6) R(-8,7). Name the vertices of the image reflected across the x axis
pantera1 [17]

Answer:

<em>P'(3,-7) Q'(7,6) R'(-8,-7).</em>

Step-by-step explanation:

<u>Reflection across the x-axis</u>

Given a point P(x,y), its reflection across the x-axis will map to point P'(x,-y), i.e., the y-coordinate gets inverted.

We are given the vertices of a triangle P(3,7) Q(7,-6) R(-8,7). The vertices of the image reflected across the x-axis are:

P'(3,-7) Q'(7,6) R'(-8,-7).

The new triangle has vertices P'Q'R'.

6 0
2 years ago
Which graph represents the function? f(x) = ∛x+2
Gnoma [55]

Answer:

graph shown in image below

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • How do you simplify 520/480
    7·1 answer
  • Please help! : What is the actual length of a window that is 1 1/4 inches long on a drawing with a scale of 1 inch= 6 feet? This
    13·1 answer
  • If the nth term is 3n+4, then the simplified (n+1)st term would be 3n+5. (True or False)
    9·1 answer
  • What is the measure of a°<br><br>PLEASE HELP! show work if possible
    12·1 answer
  • Please answer this question!! 40 points and brainliest for sure!
    15·2 answers
  • 1.
    9·2 answers
  • The scatterplot shows the number of beach visitors and the average daily temperature. Based on the scatterplot, what is the best
    9·2 answers
  • A rectangular prism has a length of 3 1/2 inches a width of 5 inches height of 1 1/2 inches what is the volume for the prism?
    12·1 answer
  • What is the result when 8x^3+18x^2+11x+2 is divided by 2x+1
    13·1 answer
  • 1
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!