Answer:
No Solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
2(4x−4)+8x=2(8x−3)
Step 1: Simplify both sides of the equation.
2(4x−4)+8x=2(8x−3)
(2)(4x)+(2)(−4)+8x=(2)(8x)+(2)(−3)(Distribute)
8x+−8+8x=16x+−6
(8x+8x)+(−8)=16x−6(Combine Like Terms)
16x+−8=16x−6
16x−8=16x−6
Step 2: Subtract 16x from both sides.
16x−8−16x=16x−6−16x
−8=−6
Step 3: Add 8 to both sides.
−8+8=−6+8
0=2
Answer:
There are no solutions.
Dependent
The general form for a pair of linear equations in two variables x and y is
and
----- (1)
----- (2)
Comparing equations 1 and 2 with the general form of equation to write their co-efficient,
Compare the ratio,
If , then the pair of linear equations has exactly one solution.
So, it said to be consistent.
Multiply both sides by <span>cos</span><span>
</span><span>r<span>cos<span>(θ)</span></span>=<span>sec<span>(θ)</span></span><span>cos<span>(θ)</span></span>=1</span><span>
</span><span>x=r<span>cos<span>(θ)</span></span></span><span>
</span><span>x=1</span>
The final balance is $580.81.
The total compound interest is $80.81.
The measure of ∠E will be equal to 38°.
Given,
m∠BFE = 118° and m∠C = 86°
And BF bisects ∠ABD
From the Property of Linear Pair,
∠AFB + ∠BFE = 180°
=> ∠AFB + 118° = 180°
=> ∠AFB = 62°
Now, we can see that ∠AFB and ∠FBD are equal because they are alternate angles.
And ∠FBD and ∠ABF are equal because BF bisects ∠ABD.
So, In ∆ABF,
∠AFB + ∠ABF + ∠BAF = 180° (because of the angle sum property of a triangle)
=>62° + 62° + ∠BAF = 180°
=>∠BAF = 180° - 124°
=> ∠BAF = 56°
Similarly, in ∆ABE,
∠A +∠C +∠E = 180°
=> 56° + 86° + ∠E = 180°
=> ∠E = 38°
Therefore, m∠E = 38°.
Learn more about Angles of Triangle at
brainly.com/question/28736528
