Which is the slope of the line that passes through the points (3,17) and (7,25)?

Three exterior angles of a pentagon measures 60,80and 90.Find the measure of other two exterior angle, assuming them equally Tha

julsineya [31]

Given:

The three exterior angles of a pentagon measures 60,80 and 90.

To find:

The measure of other two exterior angle, assuming them equally.

Solution:

Let x be the measure of two other exterior angles of the pentagon.

We know that the sum of all exterior angles of a pentagon is 360 degrees.

$60^\circ+80^\circ+90^\circ+x+x=360^\circ$

$230^\circ+2x=360^\circ$

$2x=360^\circ-230^\circ$

$2x=130^\circ$

Divide both sides by 2.

$\dfrac{2x}{2}=\dfrac{130^\circ}{2}$

$x=65^\circ$

Therefore, the measures of both exterior angles are 65 degrees.

6 0

3 years ago

On this map, Oxford Street is perpendicular to_______ , and Rosewood Street is perpendicular to ________. Assume that the street

melamori03 [73]

Hi there!

We are looking for perpendicular angles, which means the angle between the streets is 90 degrees. So, each time we need to find the street that intersects the given street with a 90 degree angle.

On this map, Oxford Street is perpendicular to Waterloo St., and Rosewood Street is perpendicular to Oak St..

The answers are (in correct order): Waterloo St. and Oak St..
~ Hope this helps you!

6 0

3 years ago

zheka24 [161]

Answer:

The circumference of the smaller circle is:

C = 2*pi*x/3

Step-by-step explanation:

We know that for a circle of radius R the circumference is given by:

C = 2*pi*R

where pi = 3.14...

Here we have two circles, A and B, where B is the larger circle and A is the smaller circle.

We know that:

The circumference of B is 3 times the circumference of A.

The radius of circle B is: OB = x

The radius of circle A is: OA

We want to find an expression of OA.

The circumference of circle B will be:

C(B) = 2*pi*OB = 2*pi*x

The circumference of circle A will be:

C(A) = 2*pi*OA

And we know that the circumference of circle B is 3 times the circumference of circle A, then:

C(B) = 3*C(A)

replacing the equations for the circumferences, we get:

2*pi*x = 3*(2*pi*OA)

dividing both sides by 2*pi, we get:

x = 3*OA

Now we want to solve this for OA, then we need to isolate it,

x/3 = OA

We can conclude that the radius of the smaller circle is equal to x/3.

Then the circumference of circle A is:

C(A) = 2*pi*x/3

5 0

2 years ago

A, B, or C? If you don’t know it, don’t answer :)

lara31 [8.8K]

Answer:

A

Step-by-step explanation:

X is moving by 9s and Y is moving by 10

3 0

2 years ago

Ari thinks the perfect milkshake has 333 ounces of caramel for every 555 scoops of ice cream. Freeze Zone makes batches of milks

drek231 [11]

Answer:

Freeze Zone has too much caramel.

Step-by-step explanation:

Given:

Ari thinks the perfect milkshake has 333 ounces of caramel for every 555 scoops of ice cream.

Freeze Zone makes batches of milkshakes with 666 ounces of caramel and 888 scoops of ice cream.

Question asked:

What will Ari think about Freeze Zone's milkshakes ? ( option must be there)

Choose one answer:

Freeze Zone has too much caramel.

Freeze Zone has too little caramel.

Freeze Zone is just right.

Solution:

First of all we will find both person's ratio of caramel to ice cream in their milkshakes.

Ratio of Ari

$\frac{caramel}{milkshake} =\frac{333}{555} =\frac{3}{5}$

Ratio of Freeze Zone

$\frac{caramel}{milkshake} =\frac{666}{888} =\frac{3}{4}$

Now, to comparing ratio of Ari and ratio of Freeze Zone, we will equalize the denominator:-

For Ari:

Multiplying numerator and denominator by 4

$Ratio\ of\ Ari=\frac{3}{5}=\frac{3\times4}{5\times4} =\frac{12}{20}$

For Freeze Zone:

Multiplying numerator and denominator by 5

$Ratio\ of\ Freeze\ Zone=\frac{3}{4}=\frac{3\times5}{4\times5} =\frac{15}{20}$

By comparison, we find that for making 20 scoops of ice cream, Freeze Zone is using 15 ounces of caramel while Ari thinks that 12 ounces of caramel must be used to make perfect milkshakes.

Conclusion:

Freeze Zone has too much caramel.

5 0

3 years ago

Read 2 more answers