Answer:
Step-by-step explanation:
The angle congruent to ∠6 are ∠8, ∠3, ∠9 and ∠14
<h3>How to find congruent angles?</h3>
When parallel lines are cut by a transversal, angle relationships are formed. They include corresponding , alternate and many more.
L║m
n ║ q
Therefore, the angles congruent to ∠6 by alternate or corresponding relationship are as follows:
∠6≅∠8≅∠3≅∠9≅∠14
learn more on angles here: brainly.com/question/15443897
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Let's solve your equation step-by-step.<span><span><span>4<span>(<span>1−x</span>)</span></span>+<span>2x</span></span>=<span>−<span>3<span>(<span>x+1</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4<span>(<span>1−x</span>)</span></span>+<span>2x</span></span>=<span>−<span>3<span>(<span>x+1</span>)</span></span></span></span><span>Simplify: (Show steps)</span><span><span><span>−<span>2x</span></span>+4</span>=<span><span>−<span>3x</span></span>−3</span></span>Step 2: Add 3x to both sides.<span><span><span><span>−<span>2x</span></span>+4</span>+<span>3x</span></span>=<span><span><span>−<span>3x</span></span>−3</span>+<span>3x</span></span></span><span><span>x+4</span>=<span>−3</span></span>Step 3: Subtract 4 from both sides.<span><span><span>x+4</span>−4</span>=<span><span>−3</span>−4</span></span><span>x=<span>−7</span></span>Answer:<span>x=<span>−<span>7</span></span></span>
Answer:
$2,476.67
Step-by-step explanation:
Data provided in the question:
Annual insurance amount paid = $0.40 per $100 on his $455,000 home
Monthly mortgage payments = $2325.00
Now,
Annual insurance amount = [ $0.40 ÷ $100 ] × $455,000
= $1,820
Therefore,
Monthly insurance amount = [ Annual insurance amount ] ÷ 12
= $1,820 ÷ 12
= $151.67
Therefore,
His total monthly payment
= Monthly mortgage payments + Monthly insurance amount
= $2325.00 + $151.67
= $2,476.67
