Given: arc iv =140°, arc vk =30°, m∠isv=135, find: m∠vpl

The measure of the is

Step-by-step explanation:

We know that  the measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

Now, Let

x is the measure of arc IV

and y is the measure of arc PK, then

Substituting the given values, we get

Thus, The measure of arc PK is .

Also, we know that  the inscribed angle measures half that of the arc comprising , thus

Let

z is the measure of arc VK

and  y is  the measure of arc PK, then

Substituting the values, we get

Hence, the measure of the is .

answer: $34.31

step-by-step explanation:

$11.99 x 3 = $35.97

$35.97 - 10% = $32.37

$32.37 + 6% = $34.31

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.