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Vladimir [108]
3 years ago
10

The sum of the interior angles of a hexagon is equal to the sum of six consecutive integers. What is the measure of the smallest

angle of the hexagon?​
Mathematics
1 answer:
Dmitrij [34]3 years ago
4 0
The sum of the interior angles of a hexagon is equal to sum of six consecutive numbers. Hence let the smallest consecutive number be x. Then other five numbers are x+1, x+2, x+3,x+4 and x+5. Hence the measure of the smallest angle is 117.5 cm.
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Graph each of the following lines without using a table of values a. y = 2⁄3x - 5 b. 6x - 2y + 5 = 0
DedPeter [7]

\text{Graph the lines:}\\\\a. \,\,y = 2/3x - 5\\\\\text{For this equation, we are given our beginning point and slope}\\\\\text{The beginning point is -5, so you would put a point at -5 on the y-axis}\\\\\text{Since the slope is 2/3, we would use the rise/run method}\\\\\text{In this case, starting from -5 on the y-axis, you would go up 2 and to the}\\\text{right 3, then place your point where you ended up.}\\\\\text{Keep using the rise/run method to create the rest of the points}\\\\

b.\,\, 6x - 2y + 5 = 0\\\\\text{Turn the equation into slope form:}\\\\ 6x - 2y + 5 = 0\\\\-2y=-6x-5\\\\y=3x+5/2\\\\\text{The beginning point is at 5/2, or 2.5}\\\\\text{Place the point at 2.5 on the y-axis}\\\\

\text{We know the slope is 3, so use the rise/run method. In this case, you}\\\text{will go up 3 and 1. Continue this process}

\text{I hope this helps, have a good day.}

3 0
3 years ago
Evaluate: x + (x2 - xy) - y<br> if x = 5 and y = 4
KengaRu [80]
The answer to this is -9
5 0
3 years ago
Read 2 more answers
WHOEVER ANSWERS THIS FIRTS GETS BRAINIEST
Mamont248 [21]

Answer:

62mm

Step-by-step explanation:

Add each side together, check answer.

Start by adding 17 and 10 together. Break it down and that equals 27. Add 11 and you get 38. Add 19 and 5 to get 24 and add that to 38. Answer, 62mm.

5 0
3 years ago
WILL MARK BRAINLIEST Which expression is equivalent to −1.3 + (−4.9 ) + (−2.6) ?
Furkat [3]
You can remove the first plus sign to give:
-1.3 -4.9 [ because + x - = - ]
and by the same rule you can remove the the second plus sign to give
-1.3 -4.9 - 2.6
That means option b is out because it is positive. 
straight away we can see that option D. equals the result, so it is in the running, so now can we eliminate c and a?
we can eliminate a because the  minus ign outside the bracket multiplied by -4.9 inside the bracket produces + 4.9, which is not the answer, so that only leaves c. 
once again, a plus sign outside the bracket does not produce -4.9 when muliplied by  4.9 inside the bracket inside option c, so we can eliminate option c.

~
Answer (D) 

6 0
3 years ago
In pentagon $MATHS$, $\angle M \cong \angle T \cong \angle H$ and $\angle A$ is supplementary to $\angle S$. How many degrees ar
gavmur [86]

Answer:

H = 120°

Step-by-step explanation:

The sum of the internal angles of a polygon with n sides is given by the formula:

S = (n-2)*180

So, for a pentagon, we have n = 5, then:

S = (5-2)*180 = 540°

So we have that:

M + A + T + H + S = 540° (eq1)

M = T = H (eq2)

A + S = 180° (eq3)

Using the second and third equation in the first one, we have:

H + H + H + 180 = 540

3H = 360

H = 120°

3 0
4 years ago
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