Answer:
I think x = 44°
Step-by-step explanation:
Finding the exterior angle:
180° - 45° = 135°
We know that x is multiplied by 3 (3x) so we divide 135 by 3.
135° / 3 = 45°
We know that we have to add 3° to the product of 3x, so we know the product of 3x will be less than 135°. The product should be 135° after 3° is added to it.
Trying a few possible answers:
43° × 3 = 129°
129° + 3° = 132°
That one wasn't quite right.
44° × 3 = 132°
132° + 3° = 135°
:D
According to the law of sines:
Using the given values, we can find the angle B and find the number of possible triangles that can be formed.
The range of sin is from -1 to 1. The above expression does not yield any possible value of B, as sin of no angle can be equal to 1.45.
Therefore, we can conclude that no triangle exists with the given conditions.
Answer :Anita's age = 7 years
Basilio's age = 2.5 years
Step 1. Assign variables to Anita's and Basilio's ages.
Anita's age = A
Basilio's age = B
Step 2. Use the information given to form two equations.
Anita is 4-1/2 years older than Basilio
A = 4.5 + B
Three times Anita's age added to six times Basilio's age is 36
3A + 6B = 36
Step 3. Substitute the value of A from first equation in to the second equation and solve for B
3(4.5 + B) + 6B = 36
13.5 + 3B + 6B = 36
13.5 + 9B = 36
9B = 36 - 13.5
9B = 22.5
B = 22.5/9 = 2.5
Step 4. Find the value of A
A = 4.5 + 2.5 = 7
Answer:
Anita's age = 7 years
Basilio's age = 2.5 years
Answer:
Sum of two interior angles=exterior angle
Done!
Answer:
-2x + 3 – (5 – 6x) = 4x - 2
Step-by-step explanation:
The given expression is :
-2x + 3 – (5 – 6x)
We need to simplify the above expression. First opening the brackets.
-2x + 3 – (5 – 6x) = -2x + 3 – 5 + 6x
Taking like terms together,
= -2x+6x + 3 -5
= 4x - 2
So, the simplified expression is 4x - 2.
