Sum of complementary angles always equal to 90°.
Given, <A and <J are complementary angles. So, we can set up an equation as following:
m<A+ M<J= 90
Next step is to plug in m<A = 5x + 30 and m<J = 4x +15 in the above equation. So we will get,
5x+30+4x+15=90
(5x+4x)+(30+15)=90 Group the like terms.
9x+45=90 Combine the like terms.
9x+45-45=90-45 Subtract 45 from each sides.
9x=45 By simplifying.
Divide each sides by 9.
x=5.
So, x=5.
Answer:
15 and 16
Step-by-step explanation:
i hop it helps
Answer:
common denominator of 1/a + 1/b is ab
however simplifying the complex fraction gives: (b-a)/(b +a)
Step-by-step explanation:
common denominator of 1/a + 1/b
should be the product of the denominators
a*b
so 1/a + 1/b = (b + a)/ab
ao
( 1/a - 1/b) divided by (1/a + 1/b) = (b - a)/(ab) divided by (b+a)/ab
Answer:
Step-by-step explanation:
The sides of a triangle are 6cm, 6cm, and 4cm.
According to triangle inequality, the sum of the length of any two sides of a triangle must be greater than the length of the third side.
So,
6+6=12>4
6+4=10>6
4+6=10>6
Therefore, the theorem of triangle inequality is satisfied for all three possible cases. This implies that only one triangle can be constructed with sides measuring 6cm, 6cm, and 4cm.
