Answer:
x = 10, y = 0
Step-by-step explanation:
x + 2y = 10
x = 10 - 2y <em>(</em><em>B</em><em>r</em><em>i</em><em>n</em><em>g</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>2</em><em>y</em><em> </em><em>t</em><em>o</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>r</em><em>i</em><em>g</em><em>h</em><em>t</em><em>)</em>
16y = -3x + 30
16y = -3(10 - 2y) + 30 <em>(</em><em>S</em><em>u</em><em>b</em><em>s</em><em>t</em><em>i</em><em>t</em><em>u</em><em>t</em><em>e</em><em> </em><em>x</em><em> </em><em>t</em><em>o</em><em> </em><em>1</em><em>0</em><em> </em><em>-</em><em> </em><em>2</em><em>y</em><em>)</em>
16y = -30 + 6y + 30 <em>(</em><em>E</em><em>x</em><em>p</em><em>a</em><em>n</em><em>d</em><em> </em><em>b</em><em>r</em><em>a</em><em>c</em><em>k</em><em>e</em><em>t</em><em>s</em><em>)</em>
10y = 0 <em>(</em><em>B</em><em>r</em><em>i</em><em>n</em><em>g</em><em> </em><em>y</em><em> </em><em>t</em><em>o</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>l</em><em>e</em><em>f</em><em>t</em><em>)</em>
<u>y</u><u> </u><u>=</u><u> </u><u>0</u>
x = 10 - 2(0) <em>(</em><em>S</em><em>u</em><em>b</em><em>s</em><em>t</em><em>i</em><em>t</em><em>u</em><em>t</em><em>e</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>0</em><em>)</em>
<u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>0</u>
<u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>0</u><u>,</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>0</u>
Answer:
x = 2
Step-by-step explanation:
AB is given as 3(3x-1) multiply inside the parenthesis with 3
AB = 9x - 3
AC is given as 5(2x+2) multiply inside the parenthesis with 5
AC = 10x + 10
if B is midpoint of AC then AB = BC and AC = AB + BC if we write this equation using the given values
9x - 3 + 9x - 3 = 10x + 10 add like terms
18x - 6 = 10x + 10 transfer like terms to the same side of the equation
18x - 10x = 10 + 6
8x = 16 divide both sides by 8
x = 2 replace x with 2 in given expressions to find the value of each component
Hello,
The inverse operation's are easy.
is would be h/3-8=19
Hope this helps
Answer:
The youngest child will receive $2000
Step-by-step explanation:
A father decided to give 25% of his monthly income to his three children as their monthly allowance.
The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:
100 - (45 + 20) = 100 - 65 = 35%
The second child received $3500.
Let the 25% of his monthly income be x.
Hence:
35% of x = 3500
=> 

x = $10000
The amount the man shared among his children is $10000.
Hence, the youngest child (20%) will receive:
20% of $10000

= $2000
The youngest child will receive $2000.
Answer:
Step-by-step explanation:
Statements Reasons
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1. ∠V ≅ ∠Y Given
2. WZ bisects ∠VWY Given
3. ∠VWZ ≅ ∠YWZ Definition of Angle Bisector (2)
4. WZ ≅ WZ Reflexive Property
5. ΔVWZ ≅ ΔYWZ AAS Theorem (1,3,4)
**In case you didn't know the definitions**
Angle Bisector - A line, segment or ray that divides an angle into two congruent angles
Reflexive Property - X = X
AAS Postulate - If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangle's are congruent