B. and c.
each pair has an opposite angle made by an intersecting line
Answer:
130
Step-by-step explanation:
Percentage of 77% of what = 100.1?
77% × ? = 100.1
? =
100.1 ÷ 77% =
100.1 ÷ (77 ÷ 100) =
(100 × 100.1) ÷ 77 =
10,010 ÷ 77 =
130
Answer:
original price= $150, sale price= $105
Step-by-step explanation:
since it is on sale for 70% of original price, there is 30% off discount.
$45 is 30% of original price (original price is 100%)
1% of original price
= $45 ÷ 30
= $1.50
original price
= $1.50 × 100
=$150
sale price (70% of original price)
= $1.50 × 70
= $105
Answer:
![\huge{ \boxed{ \bold{ \tt{x = 3}}}}](https://tex.z-dn.net/?f=%20%5Chuge%7B%20%5Cboxed%7B%20%5Cbold%7B%20%5Ctt%7Bx%20%3D%203%7D%7D%7D%7D)
<h3>
♁ Question : Solve for x</h3>
<h3>♁ Step - by - step explanation</h3>
Move 12x to L.H.S ( Left Hand Side ) and change it's sign
➛![\sf{15x - 12x - 7 = 2}](https://tex.z-dn.net/?f=%20%20%5Csf%7B15x%20-%2012x%20-%207%20%3D%202%7D)
Move 7 to R.H.S ( Right Hand Side) and change it's sign
➛![\sf{15x - 12x = 2 + 7}](https://tex.z-dn.net/?f=%20%5Csf%7B15x%20-%2012x%20%3D%202%20%2B%207%7D)
Subtract 12x from 15x
Remember that only coefficients of like terms can be added or subtracted.
➛![\sf{3x = 2 + 7}](https://tex.z-dn.net/?f=%20%5Csf%7B3x%20%3D%202%20%2B%207%7D)
Add the numbers : 2 and 7
➛![\sf{3x = 9}](https://tex.z-dn.net/?f=%20%5Csf%7B3x%20%3D%209%7D)
Divide both sides by 3
➛ ![\sf{ \frac{3x}{3} = \frac{9}{3}}](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cfrac%7B3x%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7B9%7D%7B3%7D%7D%20)
➛ ![\boxed{ \bold{ \sf{x = 3}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Csf%7Bx%20%3D%203%7D%7D%7D)
The value of x is ![\boxed{ \sf{3}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%7B3%7D%7D)
✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄
☄ Now, let's check whether the value of x is 3 or not!
<h3>
☥ Verification :</h3>
![\sf{15x - 7 = 2 + 12x}](https://tex.z-dn.net/?f=%20%5Csf%7B15x%20-%207%20%3D%202%20%2B%2012x%7D)
![\dashrightarrow{ \sf{15 \times 3 - 7 = 2 + 12 \times 3}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B15%20%5Ctimes%203%20-%207%20%3D%202%20%2B%2012%20%5Ctimes%203%7D%7D)
![\dashrightarrow{ \sf{45 - 7 = 2 + 36}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B45%20-%207%20%3D%202%20%2B%2036%7D%7D)
![\dashrightarrow{ \sf{38 = 38}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B38%20%3D%2038%7D%7D)
L.H.S = R.H.S ( Hence , the value of x is 3 ).
✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄
<h3>✒ Rules for solving an equation :</h3>
- If an equation contains fractions ,multiply each term by the L.C.M of denominators.
- Remove the brackets , if any.
- Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .
- Simplify and get the single term on each side.
- Divide each side by the coefficient of variable and then get the value of variable.
Hope I helped!
Have a wonderful time ! ツ
~TheAnimeGirl
We have that
<span>We will analyze each case to verify the answer
see the attached figure
</span>Point A) 7 cans and 140 bottles------------> (x,y)=(7,140)----> is not solution
Point B) 12 cans and 40 bottles------------> (x,y)=(12,40)----> is not solution
Point C) 8 cans and 120 bottles------------> (x,y)=(8,120)----> is a solution
Point D) 9 cans and 70 bottles------------> (x,y)=(9,70)-------> is a solution
the answer is
the solutions are
<span>
8 cans and 120 bottles9 cans and 70 bottles</span>