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3 years ago

Given that p || q, what are the reasons that each statement is true?

Mathematics

1 answer:

suter [353]3 years ago

8 0

Answer:

See answers below

Step-by-step explanation:

1) This is the given premise "line p is parallel to line q"

2) Angles 1 and 2 are equal (congruent) because they are vertical opposite angles.

3) Angles 2 and 3 are equal (congruent) because they are alternate angles.

4) Angles 3 and 4 are equal (congruent) because they are vertical opposite angles.

5) Angles 1 and 4 are equal (congruent) because: a) angle 1 is equal to angle 2 being vertical opposite, b) angle 2 is equal to angle 4 because they are corresponding angles, therefore c) due to transitive property, angle 1 will equal angle 4.

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Point H is between points L and S. LS = 14x -21 LH = 15 HS = 8x What is the length of segment LS?Immersive Reader (5 Points)

Fofino [41]

Answer:

$LS = 63$

Step-by-step explanation:

Given

$LS = 14x - 21$

$LH = 15$

$HS = 8x$

Required

Determine the length of LS

Since H is between L and S, then

$LS = LH + HS$

Substitute 14x - 21 for LS, 15 for LH and 8x for HS

$14x - 21 = 15 + 8x$

Collect Like Terms

$14x - 8x = 21 + 15$

$6x = 36$

Divide both sides by 6

$x = 6$

Substitute 6 for x in $LS = 14x - 21$

$LS = 14(6) - 21$

$LS = 84 - 21$

$LS = 63$

<em>Hence, the length of LS is 63 units</em>

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3 years ago

What is 8+24÷(2×6_4 what is the strategy I used and what's the answer

MakcuM [25]

There is a problem with your question. it doesn't make sense ???

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3 years ago

AABC is reflected across the x-axis. What is the new location of point B? A (-4, -2) C (4, -2) B (-4,2) D (4,2)

Molodets [167]

Answer:

D (4,2)

Step-by-step explanation:

you just change the y value to the opposite sign hehe

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3 years ago

Jillian ran 40 miles in one week. Her friend Lacy ran 5/8 the distance that Jillian ran . How many miles did Lacy run ?

Korvikt [17]

Lacy ran 25 miles.

40/8=5 5*5=25

5 0

3 years ago

The astronomical unit (AU) is the mean distance from the sun to the earth.

Mrac [35]

By definition, we have to
1 AU = 1.5 * 10 ^ 8Km
a comet is 2.3 AU from the earth, which means that we must transform this unit to kilometers.
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answer
<span> 3.45 × 10,superscript,8,baseline, km
</span>

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3 years ago

Read 2 more answers