Answer:

Step-by-step explanation:
Step 1
Find the value of x
we know that
In an inscribed quadrilateral the opposites angles are supplementary
so
In this problem

substitute the values and solve for x




step 2
Find the measure of angle B

substitute the value of x

Answer:
132
Step-by-step explanation:
Find Radius (r)
42/2 = 21
Plug 21 into Circumference Equation
2πr (In this case, π is 22/7)
Simplify
42 (22/7)
<u>132</u>
Answer:
Janies' monthly pocket money is $180.
Step-by-step explanation:
Janies' adjusted monthly pocket money:
Initial pocket money = $150
Ratio of new pocket money = 6:5
Let his new pocket money be represented by x,
x:$150 = 6:5
$150 x 6 = x (5)
$900 = 5x
x = 
x = $180
Therefore, Janies' monthly pocket money is $180.
Answer:
38.2%
Step-by-step explanation:
1/7 ≈ 14.29%
1/10 = 10.00%
3/8 = 37.50%
The total that Johnny has allocated for food, gas, and rent is ...
14.29% + 10.00% + 37.50% = 61.79%
So, the remaining amount is ...
100% -61.79% = 38.21%
About 38.2% of Johnny's income remains.