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sleet_krkn [62]
3 years ago
15

How do I do this Q11

Mathematics
1 answer:
SashulF [63]3 years ago
5 0
Look at one of the vertices of the heptagon where two squares meet. The angles within the squares are both of measure 90 degrees, so together they make up 180 degrees.

All the angles at one vertex must clearly add up to 360 degrees. If the angles from the squares contribute a total of 180 degrees, then the two remaining angles (the interior angle of the heptagon and the marked angle) must also be supplementary and add to 180 degrees. This means we can treat the marked angles as exterior angles to the corresponding interior angle.

Finally, we know that for any convex polygon, the exterior angles (the angles that supplement the interior angles of the polygon) all add to 360 degrees (recall the exterior angle sum theorem). This means all the marked angles sum to 360 degrees as well, so the answer is B.
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Solve the system of equations. <br> 3x-4y=8 <br> 18x-5y=10
ipn [44]

Answer:

y = -2    x = 0

Step-by-step explanation:

1. 3x-4y = 8

2. 18-5y = 10

Multiply equation 1 by 6

3. 18x-24y = 48

Subtract equation 2 from equation 3

4. -19y = 38

        y = 38/-19

        y = -2

Sub y = -2 back into equation 1

      3x-4(-2) = 8

      3x + 8 = 8

      3x = 0

      x = 0/3

      x = 0

7 0
2 years ago
Rewrite the following in the form log(c).<br> log(10) - log(2)
serg [7]

Answer:

log 5

Step-by-step explanation:

We can rewrite this by using a property of logs

log a - log b = log (a/b)

log(10) - log(2)

log(10/2)

log 5

5 0
3 years ago
Frank is trying to decide between two job offers. The compensation package for job A includes a $450-per-month health insurance
miv72 [106K]
<span>The yearly value of the health insurance from job A is $4380. To find this, take the $450 per month, and subtract Frank's contribution of $85. 450-85=$365 benefit per month. Multiply the monthly benefit by 12 months to get 365*12=4380. The yearly value of the health insurance from job B is $4620. To find this, take the $500 per month and subtract Frank's contribution, 500-115=385. No multiply the monthly benefit by 12 to get 385*12=4620.</span>
8 0
3 years ago
How can you translate the word phrase into verbal expression eight less than the quotient of x and three
Vladimir [108]
X divided by 3 or X/3 minus 8
3 0
3 years ago
What is the length of AB? please help!
ira [324]

Answer:

AB = 12

Step-by-step explanation:

Since the triangle is isosceles, the sides AB and BC are congruent. Then you have ...

4x = 2x+6

2x = 6 . . . . . . subtract 2x

4x = 12 . . . . . .multiply by 2

The side AB has length 12.

3 0
3 years ago
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