Answer:
Option (4)
Step-by-step explanation:
By the property of exterior angle of a triangle,
"Exterior angle of a triangle is equal to the sum of two opposite interior angles."
In the triangle ABC,
∠ACD is an exterior angle and ∠BAC and ∠ABC are the opposite interior angles.
m∠ACD = m∠BAC + m∠ABC
95° = m∠BAC + m∠ABC
Therefore, Option (4) will be the correct option.
Answer:
x= 4
y= -5
Step-by-step explanation:
-2x+6y=-38 equation 1
3x-4y=32 equation 2
using equation 1 we have:
-2x+6y=-38
6y +38 = 2x
3y + 19 = x equation 3
using equation 3 in equation 2 we have:
3(3y + 19) - 4y = 32
9y + 57 -4y =32
5y = 32 -57
5y = -25
y= -25/5
y = -5
so we have:
3y + 19 = x
3(-5) +19 = x
x= 4
Supplementary angles.
This is because supplementary angles are two angles that add up to 180 degrees, and these two angles would add up to 180 degrees.
Answer:
1.214 or
or 
Step-by-step explanation:
To solve this equation, first you need to the variable term isolated. You do this by adding 10 to each side. Your equation will now look like
17c = 14
Next, you will divide both sides by the 17.
Your equation now is solved, and above, I put ther three different forms for your answer: decimal, mixed number, and improper fraction.
~theLocoCoco
(x)(3x - 5) = 12
3x^2 - 5x = 12
3x^2 - 5x - 12 = 0
(x - 3)(3x + 4) = 0
x = 3, -4/3
The answer must be negative so the number is -4/3.
Hope this helps!