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Bogdan [553]
4 years ago
5

Given: m || n, ∠1 ≅ ∠3 Prove: p || q Horizontal parallel lines n and m are cut by transversals q and p. At the intersection of l

ines q and m, the uppercase right angle is angle 3. At the intersection of lines p and m, the uppercase right angle is angle 2. At the intersection of lines p and n, the bottom left angle is angle 1. Complete the two-column proof. ♣ = ♦ = ♠ =

Mathematics
2 answers:
dimaraw [331]4 years ago
6 0

Answer:

Angle 1 congruent to angle 2

Transitive property

Converse corresponding angles theorem

Reil [10]4 years ago
4 0

Answer:

♣ =

✔ angle 1 congruent to angle 2

♦ =

✔ transitive property

♠ =

✔ converse corresponding angles theorem

Step-by-step explanation:

I did it

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What is the solution set for 5(1−p)>−3p−5?
Finger [1]

3p-1=5(p-1)-2(7-2p)

Simplifying

3p + -1 = 5(p + -1) + -2(7 + -2p)

Reorder the terms:

-1 + 3p = 5(p + -1) + -2(7 + -2p)

Reorder the terms:

-1 + 3p = 5(-1 + p) + -2(7 + -2p)

-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)

-1 + 3p = (-5 + 5p) + -2(7 + -2p)

-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)

-1 + 3p = -5 + 5p + (-14 + 4p)

Reorder the terms:

-1 + 3p = -5 + -14 + 5p + 4p

Combine like terms: -5 + -14 = -19

-1 + 3p = -19 + 5p + 4p

Combine like terms: 5p + 4p = 9p

-1 + 3p = -19 + 9p

Solving

-1 + 3p = -19 + 9p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-9p' to each side of the equation.

-1 + 3p + -9p = -19 + 9p + -9p

Combine like terms: 3p + -9p = -6p

-1 + -6p = -19 + 9p + -9p

Combine like terms: 9p + -9p = 0

-1 + -6p = -19 + 0

-1 + -6p = -19

Add '1' to each side of the equation.

-1 + 1 + -6p = -19 + 1

Combine like terms: -1 + 1 = 0

0 + -6p = -19 + 1

-6p = -19 + 1

Combine like terms: -19 + 1 = -18

-6p = -18

Divide each side by '-6'.

p = 3

Simplifying

p = 3

4 0
4 years ago
Plwase answer ALL the blanks.
vladimir1956 [14]

Answer:

its option A

Step-by-step explanation:

7 0
3 years ago
What is the m∠B? Please help this is due soon.
Art [367]

Answer:

add all given angle

sum of all angles is equal to 180 degree

5 0
3 years ago
After a certain medicine is ingested, its concentration in the bloodstream changes over time.
myrzilka [38]

Answer:

Every hour, the medicine concentration decays by a factor of 4%.

Step-by-step explanation:

The relationship between the elapsed time, <em>t</em>, in minutes, since the medicine was ingested, and its concentration in the bloodstream, <em>C</em> (<em>t</em>), is:

C(t)=61\cdot (0.96)^{t}

The decay function is:

y=a(1-r)^{t}

Here,

<em>y</em> = final amount

<em>a </em>= initial amount

<em>r</em> = decay rate

<em>t</em> = time

From the provided expression the decay rate is:

1-r=0.96\\r=1-0.96\\r=0.04

Thus, every hour, the medicine concentration decays by a factor of 4%.

8 0
4 years ago
Read 2 more answers
N the diagram, the measure of angle 9 is 85°.
aleksandrvk [35]

Answer:

The real answer is angle 5

Step-by-step explanation:

6 0
3 years ago
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