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3 years ago

In the diagram, how many angles are alternate exterior angles with angle 5?

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

4 0

Answer:

Angle 11 is the alternate exterior of angle 5 meaning there is only 1 angle that is alternate of angle 5.

Step-by-step explanation:

An exterior angle is an angle outside of the shape (hence ex meaning out). However, an ALTERNATE angle is an angle opposite of a transversal line of another angle. The angles on the same transversal line of 5 are 8, 7, 9, 10, 12, and 11. However, we are looking for ALTERNATE EXTERIOR angles not just exterior. 8, 7, 9, 10, and 12 are just exterior which leaves angle 11 as alternate exterior. Angle 11 is the alternate exterior of angle 5 meaning there is only 1 angle that is alternate of angle 5.

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Create an equivalent system of equations using the sum of the system and the first equation. x + 4y = 8 4x + y = 2

qaws [65]

Answer:

Equivalent systems of equations review

Step-by-step explanation:

We're given two systems of equations and asked if they're equivalent.

x + 4y = 8 (1)

4x + y = 2 (2)

Interestingly, if we sum the equations in System A, we get:

$x + 4y = 8 \\4x + y = 2 \\$

$5x+5y=10$

Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:

$5x+5y=10$

$4x + y = 2$

This is System B, which means that System A is equivalent to System B.

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2 years ago

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loris [4]

Answer:

It depends on the numbers

Step-by-step explanation:

Give some examples

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2 years ago

How many numbers are there between 1 and 1000 that dont include the digit 9

labwork [276]

999 I think... let me know if that is correct:)

8 0

3 years ago

A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk trip

DochEvi [55]

Answer:

The expression that represents the population of elk is: $\text{elk}(t) = 2*3^t$ . It'll take 6 years for the population to reach 1,458 individuals.

Step-by-step explanation:

Since the number of elks triples every year and starts at $\text{elk}(0) = 2$ , then after the first year the population will be:

$\text{elk}(1) = \text{elk}(0)*3 = 2*3$

While on the second year, it'll be:

$\text{elk}(2) = \text{elk}(1)*3 = 2*3*3 = 2*3^2$

On the third year:

$\text{elk}(3) = \text{elk}(2)*3 = 2*3^2*3 = 2*3^3$

And so on, therefore the expression that describes the population of elk as the years passes is:

$\text{elk}(t) = 2*3^t$

If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.

$1458 = 2*3^t\\3^t = \frac{1458}{2}\\3^t = 729\\ln(3^t) = ln(729)\\t*ln(3) = ln(729)\\t = \frac{ln(729)}{ln(3)} = 6$

The population will reach 1,458 elk in 6 years.

8 0

2 years ago

a High School athletic department bought 40 soccer uniforms at the cost of $3,000. After soccer season, they return some of the

zlopas [31]

$2,960 each. because $3,000- $40=2,960

7 0

3 years ago