Answer:
h = - 105
Step-by-step explanation:
Given
= - 7.5 ( multiply both sides by 14 to clear the fraction )
h = - 105
Answer:
m∠X= 22°
Step-by-step explanation:
In ΔVWX:
m∠V=(7x−1) ∘
m∠W=(4x+16) ∘ ,
m∠X=(3x−17) ∘ . Find M∠X.
Step 1
We find the variable x
The sum of angles in a triangle is 180°
Hence,
ΔVWX = m∠V + m∠W +m∠X
180° = (7x - 1)° + (4x + 16)° + (3x - 17)°
180° = 7x - 1 + 4x + 16 + 3x - 17
180° = 7x + 4x + 3x - 1 + 16 - 17
180° = 14x -2
Collect like terms
180° + 2 = 14x
182° = 14x
x = 182°/14
x = 13°
Step 2
We find m∠X
m∠X = (3x−17) ∘
x = 13
m∠X = (3 × 13 − 17)°
m∠X = (39 − 17)°
m∠X = 22°
Answer:
k = 4/5
Step-by-step explanation:
First, rewrite 5/6k as (5/6)k; this is "five sixths of the variable k."
Next, identify the LCD. It is 6. Then the given equation becomes
5k + 4 = 8
Consolidate the constant terms:
5k = 4
Solve for k: k = 4/5
Simplify brackets
2/5(x - 4) = 2x
Simplify 2/5(x - 4) to 2(x - 4)/5
2(x - 4)/5 = 2x
Multiply both sides by 5
2(x - 4) = 10x
Divide both sides by 2
x - 4 = 5x
Subtract x from both sides
-4 = 5x - x
Simplify 5x - x to 4x
-4 = 4x
Divide both sides by 4
-1 = x
Switch sides
<u>x = -1</u>
Answer:
x(12y+4)
Step-by-step explanation:
