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rewona [7]
3 years ago
14

The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °, what is the measurement of the fourth

angle?​
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0
<h2><u>Question</u>:-</h2>

The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °, what is the measurement of the fourth angle?

<h2><u>Answer</u>:-</h2>

<h3>Given:-</h3>

The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °

<h3>To Find:-</h3>

The measurement of the fourth angle.

<h2>Solution:-</h2>

By angle sum property of a quadrilateral,

Sum of all the interior angles = 360 °

So, let the fourth angle be x

\therefore 85 ° + 54 ° + 96 ° + x = 360 °

\therefore 235 ° + x = 360 °

\therefore x = 360 ° - 235 ° = 125 °

<h3>The measurement of the fourth angle is <u>1</u><u>2</u><u>5</u><u> </u><u>°</u>. [Answer]</h3>
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The planning committee at school has 10 members. Exactly four of these members are teachers. A four-person subcommittee with at
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Answer:

865

Step-by-step explanation: The set of possibilities are:

Subcommittee  is of 4 people according to:

4  teachers    0 other member       total possibilities    1

3  teachers     1     teachers  C₄,₃  = 4   and  other member  6    6*4   =  24

2 teachers     2      C₄,₂  =  4!/2!  = 12    2 (om)    and  C₆,₂   =  6!/4!  = 30

30*12  = 360

1  teacher        3     (om)               4         and  C₆,₃ = 6!/3!   =  120

120*4  = 480

Total ways of committee    1  + 24  + 360 +  480  = 865

4 0
3 years ago
Write the equation of the line in slope-intercept form that has: slope: 3<br> point: (0,2)
goldenfox [79]

Answer:

y=3x+2

Step-by-step explanation:

y=mx+b

we have m here so

y=3x+b

then the 2 is the y-intercept

y=3x+2

7 0
3 years ago
workers on the simile line produce 4 x + 6 bolts each day which expression shows how many books they produced in 12 days
kakasveta [241]
4x+6 is produced each day.
So in 12 days the expression is 12(4x+6)
Solve and you get 48x+72.
7 0
3 years ago
−7x−6y=2<br> 7x+4y=−6<br> solve for x and y
ikadub [295]

Answer:

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:x=-2,\:y=2}

Step-by-step explanation:

\begin{bmatrix}-7x-6y=2\\ 7x+4y=-6\end{bmatrix}

\mathrm{Substitute\:}x=-\frac{2+6y}{7}

\begin{bmatrix}7\left(-\frac{2+6y}{7}\right)+4y=-6\end{bmatrix}

\begin{bmatrix}-2-2y=-6\end{bmatrix}

\mathrm{For\:}x=-\frac{2+6y}{7}

\mathrm{Substitute\:}y=2

x=-\frac{2+6\cdot \:2}{7}\\\\x=-2

5 0
2 years ago
Which graph represents a function?
Sliva [168]

Answer:

D

Step-by-step explanation:

A function is where each input (here, the input is x) corresponds to exactly one output (here, the output is y). In other words, if a function is graphed, we should be able to draw a vertical line through every single part of it that will intersect it at only one place.

Let's examine each choice.

(A) Well, if we draw a vertical line through the graph, it will obviously intersect the entire line - which is an infinite number of intersections, so this is not a function.

(B) If we draw a vertical line through the portion of the graph that lies near the positive x-axis, we note that it will intersect twice, so this is not a function.

(C) If we strategically draw a vertical line through the y-axis, we see it will intersect two times, so this is not a function.

(D) We can draw a vertical line through any portion of this graph and know that it will only intersect once.

Therefore, the answer is D.

5 0
3 years ago
Read 2 more answers
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