Answer:
All pair COMBINATION are supplementary (Opposite)
Step-by-step explanation:
According to theorem about inscribed quadrilateral
- The opposite interior angles of an inscribed quadrilateral are supplementary .
- I.e there sum is equal to 180°
<O+<Q=180
<P+<R=180
Answer:
The small balloon bouquet uses 7 balloons and the large one uses
18 balloons.
Step-by-step explanation:
Let's say that small balloon bouquets are S and large balloon bouquets are L. For the graduation party the employee assembled 6 small bouquets and 6 large bouquets, the total number of balloon used is 150. To put the sentence into an equation will be:
6S + 6L= 150
S+L= 25 ----> 1st equation
For Father's Day, the employee uses 6 small bouquet and 1 large bouquet, the total number of balloons used is 60. The equation will be:
6S + 1L= 60
1L= 60- 6S ----> 2nd equation
We can solve the number of small balloon bouquet by substitute the 2nd equation into 1st. The calculation will be:
S+L = 25
S+ (60-6S)= 25
-5S= 25-60
-5S= -35
S= -35/-5
S=7
Then we can find L by substitute S value to 1st or 2nd equation.
S+L=25
7+L=25
L=18
Hope this helps ;)
Part (i)
<h3>Answer:
x^2 + 5x + 6</h3>
-----------------
Work Shown:
(x+3)(x+2)
y(x+2) ..... Let y = x+3
y*x + y*2 ... distribute
x(y) + 2(y)
x(x+3) + 2(x+3) .... plug in y = x+3
x*x + x*3 + 2*x + 2*3 ... distribute
x^2 + 3x + 2x + 6
x^2 + 5x + 6
=====================================================
Part (ii)
<h3>Answer:
4x^2 - 16x + 7</h3>
-----------------
Work Shown:
We could follow the same set of steps as shown back in part (i), but I'll show a different approach. Feel free to use the method I used back in part (i) if the visual approach doesn't make sense.
The diagram below is a visual way to organize all the terms. Many textbooks refer to it as "the box method" which helps multiply out any two algebraic expressions.
Each inner cell is found by multiplying the corresponding outer terms. For instance, in the upper left corner we have 2x*2x = 4x^2. The other cells are filled out the same way.
The terms in those four inner cells (gray boxes) are:
The like terms here are -14x and -2x which combine to -16x, since -14+(-2) = -16.
We end up with the answer 4x^2-16x+7
Answer:
5:00 pm
Step-by-step explanation:
Let
x -----> the umber of hours
y ----> the total distance in miles
we know that
The distance is equal to the speed multiplied by the time
Find out the distance traveled by Ariel at 11:00 am
11:00 am-09:00 am=2 hours
45(2)=90 miles
so
<em>Ariel's linear equation is</em>
----> equation A
<em>Ariel's brother linear equation is</em>
----> equation B
Equate equation A and equation B

Solve for x



Adds 11:00 am + 6 hours=17:00 =5:00 pm
The perimeter would be:
6+6+10+10
12+20
perimeter= 32
HOPE THIS HELPS YOU! ^_^