Answer:
10 + 4(-8q - 4)
= 10 + 4 * (-8q) + 4 * (-4) (Distribute 4)
= 10 - 32q - 16 (Expand)
= -32q - 6 (Combine like terms)
Answer:
x = 3
y = 8
Step-by-step explanation:
In the given triangle FGH,
m∠F + m∠G + m∠H = 180° [Triangle sum theorem]
60° + 90° + m∠H = 180°
m∠H = 30°
If the given triangles FGH and TUV are congruent, their corresponding sides will be equal in measure.
m∠F = m∠T
7y + 4 = 60°
7y = 56
y = 8
GH ≅ UV
8x - 12 = 12
8x = 24
x = 3
Answer: 9,2
Step-by-step explanation:
a+c=11
a=11-c
22(11-c) + 15c = 228
242-22c + 15c = 228
-7c=-14
C = 2 (two children)
Remember how a + c = 11
a + 2 = 11
A= 9
9 adults, 2 children.
Answer:
This question seems to be asking for the work, so I put it below.
Anyhow, Marla had 3.5 candies, and Ron had 10.5.
Step-by-step explanation:
x = 3x - 7 (lets set this as "a") { a = 3x - 7}
x + 7 = 3x -7 + 7
x + 7 = 3x
( x + 7 ) / 3 = 3/3x
( x + 7 ) / 3 = x = *(same as "a") {a}
( x + 7 ) / 3 = 3x - 7
( x + 7 ) / 3 * 3 = ( 3x - 7 ) * 3
x + 7 = 9x - 21
x - x + 7 = 9x - x - 21
7 = 8x - 21
7 + 21 = 8x - 21 + 21
28 = 8x
28 / 8 = 8/8x
3.5 = x
We can plug this back into the original equation and find that it is correct because:
x = 3x - 7
x = 3.5 =====
3.5 = 3( 3.5 ) - 7
3.5 = 10.5 - 7
3.5 = 3.5
Step-by-step explanation:
✧ 
- Set up an equation and solve for x :
⋆
[ Exterior angle is always equal to the sum of two non - adjacent interior angles ]
~Remove the unnecessary brackets
⟶ 
~Add the like terms : 2x ° & 3x°
⟶ 
~Move 4x to right hand side and change it's sign
~Similarly move 12 to left hand side and change it's sign
⟶ 
⟶ 
⟶ 
- Now , Substituting the value of x in (4x+9)° [ Exterior angle ]
⤿ 
☥ 
Hope I helped ! ツ
Have a wonderful day / night ! ♡
❅ Let me know if you have any questions regarding my answer! ❅
☞
!! ✎
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