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Luda [366]
3 years ago
8

. Show that square of any positive integer can not be of form 7q + 3 or 7q+5or 7q + 6, for any integer q

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
4 0

Step-by-step explanation:

7q + 3 or 7q+5 or 7q + 6

solve for q

7q + 3 =

7q + 3 -3 =-3

7q = -3

7q/7 = -3/7

q = -3/7

7q + 3 =

7q + 6 -6 =-6

7q = -6

7q/7 = -6/7

q = -6/7

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Two angles are complementary. One angle is ten less than four times the other angle. Find the measure of the larger angle
Nimfa-mama [501]

Answer:

B.70

Step-by-step explanation:

For one or two angles are complementary angle(s), they have to equal 90°.

So, we need to find the larger angle, but what about the other?

Let x be the other angle and y be the angle we are looking for

x + y = 90

Lets look for x first, since one angle is ten less than four times the angle we are looking for or visa versa, we must:

y = 4x - 10

For an exchange, lets take out the y variable for another x variable:

So now we should have x + 4x - 10 = 90

Combine like terms and do cross equation :

x + 4x -10 = 90

5x - 10 = 90

Add 10 to both sides:

5x = 100

100/5 = 20

So <u><em>x=20</em></u>

<u><em></em></u>

Now for y which is what we are looking for,

y = 4x - 10

Since x is 20, plug it in

y = 80 - 10

y=70 is our larger angle

5 0
3 years ago
The map that has a width of 15 inches and a length of 21 inches is being enlarged by a scale factor of
maria [59]
15 times 2.2 equals 33 and 21 times 2.2 equals 46.2 you would then multiply 33 by 46.2 and you would get 1024.6
4 0
3 years ago
6th grade math help pls
mariarad [96]

Answer:

Mr wentz traveled 40 miles in 40 minutes.

8 0
3 years ago
Read 2 more answers
What is the slope of a line parallel to the line whose equation is 6x + 9y = 216.
Anton [14]

Answer:

Solve the equation so it is in the y=mx+b form.

Step 1. 6x+9y = 216

Step 2. 9y = -6x+216

Step 3. y = -6/9x+24

Step 4. Simplify/Reduce to get y = -2/3x+24

Since it is Parallel then the slope is the same so the slope is -2/3x.

8 0
3 years ago
Please help! Would be appreciated so much
Cloud [144]

Answer:

25%.

Step-by-step explanation:

First, let's find the area of both circles. The area of a circle is given by:

\displaystyle A = \pi r^2

The radius of the smaller circle is one. Thus, its area is:

\displaystyle A = \pi (1)^2 = \pi

The radius of the larger circle is two. Thus, its area is:

\displaystyle A = pi (2)^2 = 4\pi

The probability that a random point chosen will be inside the small circle will be the area of the small circle over the total area. Hence:

\displaystyle P= \frac{\pi }{4\pi}=\frac{1}{4}= 25\%

The probability of a random point being in the small circle is 25%.

3 0
3 years ago
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