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bazaltina [42]
3 years ago
14

Estelle drew two parallel lines pq and rs Intersected by a transversal kL as shown below

Mathematics
2 answers:
mestny [16]3 years ago
5 0

Answer:

The correct option is 1.

Step-by-step explanation:

Alternate exterior angle theorem: If a transversal line intersect two parallel lines, then the alternate exterior angles are congruent or equal.

Alternate interior angle theorem: If a transversal line intersect two parallel lines, then the alternate interior angles are congruent or equal.

Same-side interior angle theorem: If a transversal line intersect two parallel lines, then the interior angles on the same sides are supplementary angles.

Vertical angle theorem: If two lines intersect each other, then vertical opposite angles are same.

From the given graph it is clear that the angle KMQ and angle RNL are alternate exterior angles.

\angle KMQ=\angle RNL                   (Alternate exterior angle theorem)

Therefore the correct option is 1.

maksim [4K]3 years ago
4 0
PQ ║ RS

<KMQ = <RNL ...a<span>lternate exterior angles

Answer
A. </span><span>Alternate Exterior Angles Theorem</span>
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A sporting goods store sells sets of golf clubs with steel shafts fo $309. Sets of golf clubs with graphite shaftscost $489. Las
OLga [1]
309x+489(11-x)=4299
Solve for x
X=6 for 309

11-6=5 for 489
7 0
3 years ago
During the election for class president, 40% of the students voted for Gerardo, 35% of the students voted for Leandro, and 25% o
mrs_skeptik [129]

Answer:  30 students more voted for Gerardo than for Juju.

Explanation:

<u>so 'x' represent the total number of students</u>

<u />

<u>0.40x of the students voted for Gerardo</u>

<u />

<u>0.35x of the students voted for Leandro</u>

<u />

<u>0.25x of the students voted for Juju</u>

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<u>70 students voted for Leandro:</u>

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<u>0.35x = 70 </u>

<u />

<u>by solving we find:</u>

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<u>x = 200 students</u>

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<u>0.40x - 0.25x = (0.40 - 0.25)x = 0.15x = 0.15*200 = 30</u>

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<u />

8 0
3 years ago
Calculate the pay for the following day of a
andrezito [222]

Answer:Pay = $106.25

Step-by-step explanation:

08:00 12:15 is 4hours and 15min

13:00  17:15 is 4hours and 15min

4hours 15min + 4hours 15min =  8.5hours (8hours and 30min)

Per hour is $12.50

12.50 * 8.5 = 106.25

Pay = $106.25

7 0
3 years ago
Does anyone get how to do this
Nezavi [6.7K]

Answer:

Graph the two lines shown

Hope this helps!

5 0
4 years ago
-y varies inversely with x. When y = 9.6, x = 12. What is the value of k, the constant of inverse variation?
alisha [4.7K]

Question 1:

For this case we have an equation of the form:

y = \frac {k} {x}

Where,

  • <em>k: inverse variation constant. </em>

Then, substituting values we have:

y =\frac {k} {x}

From here, we clear the value of k.

We have then:

k = 9.6 * 12\\k = 115.2

Answer:

the constant of inverse variation is:

k = 115.2

Question 2:

For this case we have:

y = \frac {k} {x}

Where,

  • <em>k: constant of variation. </em>

Then, substituting the value of the constant we have:

y =\frac {5.6} {x}

We now substitute the value of x:

y = \frac {5.6} {4}\\y = 1.4

Answer:

 the value of y when x = 4 is: y = 1.4

6 0
4 years ago
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