Please help me, I'm really confused. Given that a ∥ b and m∠6 is 1/8 of m∠4, find m∠4 and m∠6.

9514 1404 393

Explanation:

Finish the Given statement, make use of the relationships of angles and parallel lines, then finish the algebra.

__

2. m∠6 = (1/8)m∠4 . . . . Given

3. m∠6 + m∠4 = 180° . . . . 3. same-side interior angles are supplementary

4. m∠6 + 8·m∠6 = 180° . . . . 4. Substitution (from 2, above: 8·m∠6 = m∠4)

Here is the "algebra" that gets you to line 5:

4a. 9m∠6 = 180° . . . collect terms

4b. m∠6 = 20° . . . . . divide by 9

4c. m∠4 = 8·20° = 160° . . . use the same relation as in step 4

5. m∠6 = 20°, m∠4 = 160° . . . . Algebra

m∠6=1/8m∠4

m∠6+m∠4=180°                S.S int. of parallel lines

m∠6+8·m∠4=180°

m∠6=20° m∠4=160°

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Look at the long division problem shown on the right. Complete the division to determine what the remainder will be.

What is the remainder?

–10

–7

7

10
x + 4 StartLongDivisionSymbol 4 x Superscript 4 Baseline + 18 x cubed + 3 x squared minus 18 x + 15 EndLongDivisionSymbol. minus 4 x Superscript 4 Baseline + 16 x cubed to get a remainder of 0 x Superscript 4 Baseline + 2 x cubed + 3 x squared. minus 0 x Superscript 4 Baseline + 2 x cubed + 8 x squared to get a remainder of 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 18 x. minus 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 20 x to get a remainder of blank and a quotient of 4 x cubed + 2 x squared minus 5 x + c.

Interest paid on £2500 at an interest at an interest rate of 15%

us
Figure ABCD is a kite. Find the
value of x.
B
X + 20
X + 10
А
С
X = [?]
Enter

three less than the total of a number and
nine

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|–18| degrees in a positive direction from 9 degrees

|–9| degrees in a negative direction from 9 degrees

|–9| degrees in a positive direction from 9 degrees

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Table:
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* ???????????

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Consider the following hypothesis test:
H0: µ = 20
Ha: µ < 20
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1
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