Answer:
∡ABC=55°
Step-by-step explanation:
<u>Step 1: Identify all angles</u>
∠A=(x+45)°
∠B=(6x+5)°
∠C=(3x)°
∠ABC=(180-∠B)°=(180-(6x+5))°
<u>Step 2: Use the Triangle Angle Sum Theorem</u>
∠A+∠ABC+∠C=180°
(x+45)+(180-(6x+5))+(3x)=180
x+45+180-6x-5+3x=180
-2x+45+180-5=180
-2x+45-5=0
-2x+40=0
-2x=-40
x=20
<u>Step 3: Plug in x=20 for ∠ABC</u>
∠ABC=(180-(6x+5))°
(180-6(20)-5)°
(180-120-5)°
(60-5)°
55°
So ∡ABC=55°
Answer: The numbers are -3 and - 6
Step-by-step explanation:
Let the first number be x and the second number be y , then from the first statement we have
x + 3 = y ............. equation 1
From the second statement
2y = 3x + 12 ............ equation 2
solving the resulting simultaneous equation by substitution method ,we have:
substitute x - 3= y into equation 2 , we have
2( x + 3) = 3x + 12
2x + 6 = 3x + 12
2x - 3x = 6
x = -6
substitute x = - 6 into equation 1 , that is
- 6 + 3 = y
Therefore ,
y = -3
2y = 3y + 3
Check:
x + 3 = y , implies
-6 + 3 = -3 = y
Also 2y = 3x + 12 , implies
2(-3) = -6
3(-6) + 12 = -6
Answer:
84.5
Step-by-step explanation:
(9.9 × 10) ÷ 2= 49.5 (7×10)÷2 = 35
35+49.5 = 84.5
Answer:
3/32
Step-by-step explanation:
prob greater than 5
that would be 6,7 or 8
p = 3/8
prob purple
p = 1/4
Prob of both
p = 3/8 * 1/4
p = 3/32
2/3 (x+2) -1/3 (x-2)
= 2/3*x +2/3*2 -1/3x -1/3(-2) (distributive property)
= 2/3x + 4/3 -1/3x +2/3
= (2/3x -1/3x) + (4/3 + 2/3)
= 1/3x + 2
The final answer is 1/3x+2.
Hope this helps~
