All categories

3 years ago

PLEASE ANSWER ASAP!! e)What is the measure of ∠I? Explain

Mathematics

1 answer:

Zina [86]3 years ago

4 0

Answer:

$60^{\circ}$

Step-by-step explanation:

From the given figure it is clear that the stop board is a regular hexagon and ∠I is an exterior angle of the regular hexagon.

Exterior angle of a regular polygon with n sides $=\dfrac{360^{\circ}}{n}$

In a regular hexagon number of sides: n =6

Exterior angle of a regular hexagon $=\dfrac{360^{\circ}}{6}=60^{\circ}$

Since ∠I is an exterior angle of the regular hexagon, therefore, $\angle I=60^{\circ}$ .

You might be interested in

The time that a butterfly lives after emerging from its chrysalis can be modelled by a random variable T, the model here taking

olasank [31]

Xd answer is d I hope u find the answer

8 0

3 years ago

Find the length of the line PA.

Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

$A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60$

The area of right triangle:

$A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30$

Use the Pythagorean theorem to calculate the length of RO:

$|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13$

The formula of an area of this right triangle is:

$A_T=\dfrac{1}{2}|RO||PA|$

Therefore we have the equation:

$\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62$

8 0

3 years ago

tire and Jody's bedroom are shaped like rectangles Terrace bedroom is 9 ft long and 8 feet wide Jody's bedroom is 7 ft long and

zloy xaker [14]

Terrace, because area= length (l) * width (w). Since terrace's room is 9 by 8, you multiply 9*8 which gives you 72ft squared. Jody's bedroom id 7*10 which gives you 70 ft squared. 72 is greater than 70.

3 0

3 years ago

Calvin has 13 coins , all of which are quarters and nickels. The coins are worth $2.45. How many of each coin does Calvin have ?

zalisa [80]

Answer:

Step-by-step explanation:

6 0

3 years ago

Find the Slope of a line that travels through (3, 7) and (6, 19)

TiliK225 [7]

Answer:

1/4

Step-by-step explanation:

6-3/19-7 =3/12 =1/4

4 0

3 years ago