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
siniylev [52]
2 years ago
15

Find the value of x in the given figure​

Mathematics
1 answer:
RSB [31]2 years ago
3 0

To solve this problem, you will first use the Angle Sum Property to determine the value of <em>x </em>after creating an algebraic equation, combining like terms, and subtracting from both sides of an equation.

<h3>Use the Angle Sum Property</h3>

The Angle Sum Property states that all interior angles of a triangle will summate to 180º.

An equation can be created to find this when you are given two angles and missing a third. That third angle can be referred to as <em>x</em> in this scenario.

Adding the two known angles and the unknown angle will result in a sum of 180º. This means that our unknown is <em>x</em> and can therefore be placed in an equation:

65+42+x=180

<h3>Combine Like Terms</h3>

Combine the like terms by combining the constants on the left side of the equation using addition:

65+42+x=180

107+x=180

<h3>Subtract</h3>

After combining like terms, subtract 107 from both sides of the equation:

107 - 107 +x = 180-107

\boxed{x=73}

The final answer is <em>x</em> = 73 degrees.

You might be interested in
Answer to this please ?
stepan [7]

Answer:

(-a,b)

Step-by-step explanation:

You use midpoint formula which is (x1+x2/2),(y1+y2/2)

8 0
3 years ago
At what rate did the rain fall?
Levart [38]

Answer:

2 cm per hour

Step-by-step explanation:

1 hour lines up with 2cm

2 hours line up with 4cm

3 hours line up with 6cm

6 0
2 years ago
Read 2 more answers
Determine if the following system of equations has no solutions 4x+3y= -8 -8x-6y= 16
cupoosta [38]

\begin{cases} 4x+3y=-8\\\\ -8x-6y=16 \end{cases}~\hspace{10em} \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill

4x+3y=-8\implies 3y=-4x-8\implies y=\cfrac{-4x-8}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3} \\\\[-0.35em] ~\dotfill\\\\ -8x-6y=16\implies -6y=8x+16\implies y=\cfrac{8x+16}{-6} \\\\\\ y=\cfrac{8}{-6}x+\cfrac{16}{-6}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3}

one simple way to tell if both equations do ever meet or have a solution is by checking their slope, notice in this case the slopes are the same for both, meaning the lines are parallel lines, however, notice both equations are really the same, namely the 2nd equation is really the 1st one in disguise.

since both equations are equal, their graph will be of one line pancaked on top of the other, and the solutions is where they meet, hell, they meet everywhere since one is on top of the other, so infinitely many solutions.

3 0
2 years ago
Determine where the PHD Mathematicians live.
Pavlova-9 [17]

Answer:

the answer to A,B,C

Step-by-step explanation:

all the points are on the graph

all answers

b) slope -1

intercept 1

c)(x+3)(x-1)

intercepts (-3,0),(1,0)

vertex (-1,-4)

6 0
3 years ago
2x-3y=-5<br> 2x+y=7<br> what is the solution?
shusha [124]

Answer:

y = 3 and x = 2

Step-by-step explanation:

subtract the 2nd eqn from the first...

-4y = -12

y = 3

substitute the value of y into either of the eqns...

2x - 3(3) = -5

2x = 4

x = 2

6 0
3 years ago
Other questions:
  • According to this diagram, what is tan 62 degrees ?
    6·2 answers
  • If the sin 90 degrees is 1, then the cos___degrees=___
    7·2 answers
  • What is the greatest possible whole-number value of the congruent side lengths?
    5·1 answer
  • A toy manufacturer wants to know how many new toys children buy each year. A sample of 601 children was taken to study their pur
    5·1 answer
  • A pancake recipe suggests that you use a 2/3 cup of water for every cup of pancake mix. If you plan to use 7/2 cups of the mix,
    14·1 answer
  • Can you give me the answer please
    6·2 answers
  • One root of f(x) = 2x3 + 9x2 + 7x – 6 is –3. Explain how to find the factors of the polynomial.
    8·2 answers
  • The value of square root -9 is not -3 because ___.
    6·2 answers
  • This Stem-and-Leaf Plot shows the amount of rainfall received in centimeters in each month. What is the median of this data set?
    13·2 answers
  • Determine whether the variable is qualitative or quantitative. Explain your reasoning. The price of a new computer.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!