X = 6
9/12 = 0.75
6/8 = 0.75
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°
Hello :
1/(√6 -1) = (√6 +1)/(√6 -1)(√6 +1) = (√6 +1)/(√6)²-1² ) = (√6 +1)/5
Answer:
Step-by-step explanation:
Answer:
y = 8•6^x
Step-by-step explanation:
Here, we want to write an exponential equation
To fully write this, we need the values of a and b
From the first coordinates given;
8 = a•b^0
a = 8 since b^0 = 1
Furthermore;
288 = 8•b*2
b^2 = 36
b = √36
b = 6
So we have ;
y = 8•6^x
