Answer:
m∠J = 45° , m∠I = 45° and m∠M = 90°
And the ΔJIM is an isosceles right angled triangle.
Step-by-step explanation:
(a). In ΔJIM,
∠J = 2x + 15,
∠I = 5x - 30, and
∠M = 6x
Now, using angle sum property of a triangle that sum of all the angles in a triangle is 180°
⇒ ∠J + ∠I + ∠M = 180°
⇒ 2x + 15 + 5x - 30 + 6x = 180°
⇒ 13x -15 = 180°
⇒ 13x = 195
⇒ x = 15
Therefore, m∠J = 45° , ∠I = 45° and m ∠M = 90°
(b). Now, ΔJIM is a right angled triangle right angled at M.
Also, ∠J = ∠I = 45°
So, JM = IM ( because in a triangle sides opposite to equal angles are equal)
So, ΔJIM is an isosceles triangle because its two sides are equal.
Hence, ΔJIM is a right angled isosceles triangle right angled at M.
Answer:
25 feet
Step-by-step explanation:
(25.85 + 12.5) - 12.35
38.35 - 12.35
25 feet
Answer:
Step-by-step explanation:
that is the answer
I'll solve 1,2, 8, and 9 and then you can use those techniques to solve the rest.
For 1, we subtract 9 from both sides to separate the 3f and get 3f<12. Dividing both sides by 3, we get f<4
For 2, we add 3 to both sides to get 4n ≥ 108 and dividing by 4 we get n ≥ 27
For 8, we can start off by expanding using the distributive property, getting 12c-15-2c >0. Next, we get 10c-15>0 and adding 15 to both sides we get 10c> 15. After that, we divide both sides by 10 to get c > 15/10 = c> 1.5
For 9, we expand again to get 15j-45+3j < 45. Next, we add 45 to both sides and add from there, getting 18j < 90. Next, we divide both sides by 18 to get j < 5