Mathematics, 01.10.2019 04:00 charlottiechecketts0

In the figure, m< 2=92 and m< 12=74. find the measure of each angle. tell which postulate (s) or theorem (s) you used.
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In the figure, m< 2=92 and m< 12=74. find the measure of each angle. tell which postulate (s)

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Answer from: brenmichelle24

The measure of the given angles and the theorem used to find each are:

11. $\mathbf{m \angle 10 = 92^{\circ}}$ - corresponding angles theorem

12. $\mathbf{m \angle 8 = 92^{\circ}}$ - vertical angles theorem

13. $\mathbf{m \angle 9 = 106^{\circ}}$ - same-side exterior angles theorem

14. $\mathbf{m \angle 5 = 106^{\circ}}$ - same-side interior angles theorem

15. $\mathbf{m \angle 11 = 106^{\circ}}$ - corresponding angles theorem

16. $\mathbf{m \angle 13 = 106^{\circ}}$ - vertical angles theorem

The relative position that angles formed when a transversal cuts across two lines determines the type of angle pairs two angles are and the theorem that applies for each pair.

Given:

m<2 = 92m<12 = 74

11. m<2 and m<10 are corresponding angles.

Based on the corresponding angles theorem, m<2 = m<10

$\mathbf{m \angle 10 = 92^{\circ}}$

12. m<8 and <2 are vertical angles.

Based on the vertical angles theorem, m<8 = m<2

$\mathbf{m \angle 8 = 92^{\circ}}$

13. m<9 and <12 are same-side exterior angles.

Based on the same-side exterior angles theorem, m<9 = 180 - m<12

$m \angle 9 = 180 - 74\\\\\mathbf{m \angle 9 = 106^{\circ}}$

14. m<5 and <12 are same-side interior angles.

Based on the same-side interior angles theorem, m<5 = 180 - m<12

$m \angle 5 = 180 - 74\\\\\mathbf{m \angle 5 = 106^{\circ}}$

15. m<11 and m<9 are corresponding angles.

Based on the corresponding angles theorem, m<11 = m<9

$\mathbf{m \angle 11 = 106^{\circ}}$

16. m<13 and <11 are vertical angles.

Based on the vertical angles theorem, m<13 = m<11

$\mathbf{m \angle 13 = 106^{\circ}}$

In summary, the measure of the given angles and the theorem used to find each are:

11. $\mathbf{m \angle 10 = 92^{\circ}}$ - corresponding angles theorem

12. $\mathbf{m \angle 8 = 92^{\circ}}$ - vertical angles theorem

13. $\mathbf{m \angle 9 = 106^{\circ}}$ - same-side exterior angles theorem

14. $\mathbf{m \angle 5 = 106^{\circ}}$ - same-side interior angles theorem

15. $\mathbf{m \angle 11 = 106^{\circ}}$ - corresponding angles theorem

16. $\mathbf{m \angle 13 = 106^{\circ}}$ - vertical angles theorem

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Answer from: carlydays3331

$\angle 10=92\°\\\angle 8 = 92\°\\\angle 9=88\°\\\angle 5=106\°\\\angle 11 = 106\°\\\angle 13 = 106\°$

Step-by-step explanation:

In the figure $m \parallel n$ , and r and s are transversal that intercept those parallels.

Now, from the each interception of each transversal we have 8 angles related.

$\angle 1, \angle 2, \angle 7, \angle 8, \angle 9, \angle 10, \angle 16, \angle 15$ , all these angles are related.

$\angle 3, \angle 4, \angle 5, \angle 6, \angle 11, \angle 12, \angle 13, \angle 14$ , all these angles are related.

By corresponding angles, we have the following congruence

$\angle 2 \cong \angle 10$

This means that

$\angle 10 = \angle 2= 92\°$

$\angle 9 = 180\° - \angle 10$ , by supplementary angles.

$\angle 9= 180\°-92\°=88\°$

$\angle 8 = \angle 2$ , by vertical angles theorem.

$\angle 8= 92$

$\angle 5 = \angle 11$ , by alternate interior angles.

$\angle 11=180\° - \angle 12$ , by supplementary angles.

$\angle 11= 180\°-74\°=106\°$

$\angle 5=106\°$

$\angle 13 = \angle 11$ , by vertical angles theorem.

$\angle 13 = 106\°$

Therefore, the answers are

$\angle 10=92\°\\\angle 8 = 92\°\\\angle 9=88\°\\\angle 5=106\°\\\angle 11 = 106\°\\\angle 13 = 106\°$

Answer from: Quest

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36

Asap i really need i will make the brainliest

Answer from: Quest

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

The graph below shows the value of a $100 deposited into three different accounts over a period of 2

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In the figure, m< 2=92 and m< 12=74. find the measure of each angle. tell which postulate (s)...

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