Answer:
Step-by-step explanation:
The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).
Use the opposite angles in an inscribed quadrialteral theorem,
<A + <C = 180
Substitute,
14x - 7 + 8z = 180
Simplify,
22z - 7 = 180
Inverse operations,
22z = 187
z = 
Simplify,
z = 
Now substitute the value of (z) into the expression given for the measure of angle (<B)
<B = 10z
<B = 10()
Simplify,
<B = 85
Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)
<B + <D = 180
Substitute,
85 + <D = 180
Inverse operations,
<D = 95
Students on the minibus = 8
students that are boys = 5
fraction of the student that are boys = ?
we can write fraction as the numerator and denominator so here the fraction of boys students is = 5/8
this fraction means and shows that there are 5 students are boys from 8 students.
Answer:
Option C) 27 people
Step-by-step explanation:
Let
x ----> the number of people
we know that
The cost of decorations ($35) plus the number of people (x) multiplied by the cost per person on food ($8.50) must be equal to $264.50
so
The linear equation that represent this situation is
solve for x
Subtract 35 both sides
Divide by 8.50 both sides
Answer:
Therefore
![75\div 5 - [(9-7)\times 3 ]\times 2 = 3](https://tex.z-dn.net/?f=75%5Cdiv%205%20-%20%5B%289-7%29%5Ctimes%203%20%5D%5Ctimes%202%20%3D%203)
Step-by-step explanation:
To Find:
Value of expression
75 ÷ 5 - [( 9 - 7 ) × 3 ] × 2
Solution:
PEDMAS rule
It explains the order of operations to solve an expression.
According to Pedmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.),
then division, multiplication, addition and subtraction from left to right.
P - parenthesis
E- exponent
D/M - Div or Multiply which ever comes first
A/S - Add or Sub which ever comes first.
So first we will solve the Parenthesis we get
Step 1. Parenthesis operation
75 ÷ 5 - [( 2 ) × 3 ] × 2
Step 2. Parenthesis operation
![75\div 5 - [(2)\times 3 ]\times 2](https://tex.z-dn.net/?f=75%5Cdiv%205%20-%20%5B%282%29%5Ctimes%203%20%5D%5Ctimes%202)
Step 3. Division
![15 - [6]\times 2](https://tex.z-dn.net/?f=15%20-%20%5B6%5D%5Ctimes%202)
Step 4. Multiplication
Step 5. Subtraction
3
Therefore
