The converse of the hinge theorem is also true: If the two sides of one triangle are congruent<span> to two sides of another triangle, and the third side of the first triangle is greater than the third side of the second triangle, then the included angle of the first triangle is larger than the included angle of the second .</span>
I agree with Marita, that the angles could have the same measure. This can be proven if you set the two amounts equal and solve for x.
9x - 25 + x = x + 50 + 2x - 12
To begin, we should combine like terms on both sides of the equation to start simplifying the equation.
10x - 25 = 3x + 38
Next, we should subtract 3x from both sides and add 25 to both sides to get the variable x alone on the left side of the equation.
7x = 63
Finally, we should divide both sides by 7, to get rid of the coefficient of x.
x = 9
If you plug in 9 for x in our first equation, you get that both of the angle measurements equal 65 degrees. This means that Marita is correct, because if x = 9, then the angles would have the same measure.
Answer:
m<S = 45°
Step-by-step explanation:
The sum of the measures of the angles of a triangle equals 180 deg.
m<R + m<S + m<T = 180
3x + 2x + 3x = 180
8x = 180
x = 22.5
m<S = 2x = 2(22.5) = 45
Answer:
The age of Sue could be 7 years
Step-by-step explanation:
Jenny is 8 years older than twice her cousin Sue's age.
The first equation will be :
J = 8 + 2S ---------(1)
The sum of their ages is less than 32.
The second equation will be :
J + S < 32 ----------------(2)
Now rearrange both equations :
8 + 2S + S < 32
3S < 32 - 8
3S < 24
S < 24/3
S < 8
S = 7
The age of Sue could be 7 years.
6.842 or higher. When you line up the decimals, you see 6.842 has a 2 and 6.841 has a 1. 2 is greater than 1, more greater numbers are 6.843, 6.844, 6.845, etc.
