Find the measure of<br> А<br> E<br> 103°<br> 270<br> 50°<br> 35°<br> D<br> B<br> C

Lines which intersect have their point of intersection as the solution to the system of equations. If there is no solution then two lines do not intersect. The two lines must be parallel.

7 0

3 years ago

A square fits exactly inside a circle with each of the vertices being on the circumference of the circle. The square has sides l

NNADVOKAT [17]

Answer: The value of x is 5.970.

Step-by-step explanation:

Given: The square has sides length of X cm.

Let r be the radius of the circle.

The square fits exactly inside a circle with each of the vertices being on the circumference of the circle.

Then diagonal of square = diameter of circle

i.e. $\sqrt{2}x= 2r$ [Diagonal of square = $\sqrt{2}$ (side)]

i.e. $r=\dfrac{x}{\sqrt{2}}$

area of circle = $\pi r^2$

i.e. $56=\frac{22}{7}(\frac{x}{\sqrt{2}})^2$

$56=\frac{22}{7}\times\frac{x^2}{2}\\\\\Rightarrow\ x^2= \dfrac{7}{11}\times56\\\\\Rightarrow\ x^2=35.636\\\\\Rightarrow\ x=\sqrt{35.636}\approx5.970$

Hence, the value of x is 5.970.

4 0

3 years ago

Oscar was not safeguarding his personal identification and chose a two-digit PIN for his debit card using the numbers 0 - 9. Wit

ryzh [129]

There are 90 different identification numbers possible.

<h3>What are the permutation and combination?</h3>

In terms of mathematical concepts, “permutation” and “combination” are related to each other.

The combination is the counting of selections that we make from n objects.

Oscar was not safeguarding his personal identification and chose a two-digit PIN for his debit card using the numbers 0 - 9.

There are 10 possible values for each digit of the PIN (namely: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9), so there are;

10 × 10 = 100 total possible PINs.

Now, because you can't use the same number twice, we subtract 10 from 100 because there are 10 numbers that can match themselves.

100 -10 =90

Hence, there are 90 different identification numbers possible.

Learn more about combination here;

brainly.com/question/24138361

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5 0

2 years ago

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Find the measure of А E 103° 270 50° 35° D B C