Answer:
Part 1) ![m](https://tex.z-dn.net/?f=m%3CCQJ%3D99%5C%C2%B0)
Part 2) ![m](https://tex.z-dn.net/?f=m%3CLIJ%3D118%5C%C2%B0)
Step-by-step explanation:
Part 1) Find the measure of angle CQJ
we know that
The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.
![m](https://tex.z-dn.net/?f=m%3CCQJ%3D%5Cfrac%7B1%7D%7B2%7D%28arc%5C%20IK%2Barc%5C%20CJ%29)
![arc\ IK+arc\ CJ=360\°-(arc\ IC+arc\ KJ)](https://tex.z-dn.net/?f=arc%5C%20IK%2Barc%5C%20CJ%3D360%5C%C2%B0-%28arc%5C%20IC%2Barc%5C%20KJ%29)
substitute the values
![arc\ IK+arc\ CJ=360\°-(38\°+124\°)=198\°](https://tex.z-dn.net/?f=arc%5C%20IK%2Barc%5C%20CJ%3D360%5C%C2%B0-%2838%5C%C2%B0%2B124%5C%C2%B0%29%3D198%5C%C2%B0)
![m](https://tex.z-dn.net/?f=m%3CCQJ%3D%5Cfrac%7B1%7D%7B2%7D%28198%5C%C2%B0%29%3D99%5C%C2%B0)
Part 2) Find the measure of angle LIJ
step 1
Find the measure of angle IJL
we know that
The inscribed angle is half that of the arc it comprises.
![m](https://tex.z-dn.net/?f=m%3CIJL%3D%5Cfrac%7B1%7D%7B2%7D%28arc%5C%20IC%29)
substitute the values
![m](https://tex.z-dn.net/?f=m%3CIJL%3D%5Cfrac%7B1%7D%7B2%7D%2838%5C%C2%B0%29%3D19%5C%C2%B0)
step 2
Find the measure of angle ILJ
we know that
The measurement of the external angle is the semi-difference of the arcs it encompasses.
![m](https://tex.z-dn.net/?f=m%3CILJ%3D%5Cfrac%7B1%7D%7B2%7D%28arc%5C%20KJ-arc%5C%20IC%29)
substitute the values
![m](https://tex.z-dn.net/?f=m%3CILJ%3D%5Cfrac%7B1%7D%7B2%7D%28124%5C%C2%B0-38%5C%C2%B0%29%3D43%5C%C2%B0)
step 3
Find the measure of angle LIJ
Remember that the sum of the interior angles of a triangle must be equal to 180 degrees
In the triangle LIJ
![m](https://tex.z-dn.net/?f=m%3CLIJ%2Bm%3CILJ%2Bm%3CIJL%3D180%5C%C2%B0)
substitute the values
![m](https://tex.z-dn.net/?f=m%3CLIJ%2B43%5C%C2%B0%2B19%5C%C2%B0%3D180%5C%C2%B0)
![m](https://tex.z-dn.net/?f=m%3CLIJ%3D180%5C%C2%B0-62%5C%C2%B0%3D118%5C%C2%B0)
The number of pennies in bank is 42
<em><u>Solution:</u></em>
Given that ratio of pennies to quarters in a piggy bank is 14 : 3
Let 14x be the number of pennies in piggy bank
Let 3x be the number of quarters in piggy bank
<em><u>To find: number of pennies</u></em>
Given that there are 51 quarters
number of pennies in piggy bank + number of quarters in piggy bank = 51
14x + 3x = 51
17x = 51
x = 3
number of pennies = 14x = 14(3) = 42
Thus the number of pennies in bank is 42
Answer:
1500
Step-by-step explanation:
deposit means put in and withdraw means take
Divide by 6 on both sides to have the variable by itself. the answer is 8.