MATHEMATICS HIGH SCHOOL

!50 POINTS! (1 SIMPLE GEOMETRY QUESTION)

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BigBrain425939 avatar

Answers

Answer 1
Answer:

Answer:

x= 40.33

Step-by-step explanation:

In geometry, alternate exterior angles are a pair of angles that are on the outer side of two parallel lines but on opposite sides of the transversal. In other words, they are the angles that are not on the same line as the parallel lines.

The alternate exterior angles are always equal in measure. This is because when a transversal intersects two parallel lines, it creates two pairs of alternate exterior angles, and each pair of angles is supplementary to each other (meaning that their measures add up to 180 degrees).

In this case:

a° = b°

Since,, the alternate exterior angles are always equal in measure.

3x+17 = 138

subtracting 17 on both sides

3x + 17-17 = 138-17

3x = 121

dividing both sides by 3.

(3x)/(3) = (121)/(3)

\sf x \approx 40.33

The value of x is 40.33 which  proves that r is parallel to s.
Answer 2
Answer:

Answer:

c)  40.3

\hrulefill

Step-by-step explanation:

According to the Alternate Exterior Angles Theorem, when two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the alternate sides of the transversal are congruent.

Therefore, if lines r and s are parallel, then a° = b°.

To find the value of x that proves line r is parallel to line s, solve a° = b° for x.

\begin{aligned}a^(\circ)&=b^(\circ)\n\n3x+17&=138\n\n3x+17-17&=138-17\n\n3x&=121\n\n(3x)/(3)&=(121)/(3)\n\nx&=40.33333....\n\nx&=40.3\; \sf (nearest\;tenth)\end{aligned}

Therefore, the value x that proves line r is parallel to line s is:

\Large\boxed{x=40.3}

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Calculate the density of an object with mass 45 grams and volume 25cm^3

Answers

Answer:

1.8g/cm^3

Step-by-step explanation:

Density = mass/volume

=> Density = 45/25

=> Density = 9/5

=> Density = 1.8 g/cm^3

Mrs. Yan buys 4 red tulips and 5 yellow tulips a : what fraction of the tulip are red? B: what fraction of the tulip are yellow

Answers

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In June, Clarissa used 115 gigabytes of data on her cell phone. Given that June has 30 days, how much data did she use on average per day?

Answers

Answer:

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Step-by-step explanation:

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HELP PLS!! What is the diameter of a circle whose circumference is 16pi centimeters?32 cm
16 cm
4 cm
8 cm

Answers

It should be 8 cm because 8 is half of 16 and diameter should be half of radius

answer: 8

Explanation:

Use the formula for the area of a circle:

A = π r 2

Here, the area is  16 π

16 π = π r 2  

Divide both sides by  

16 = r 2

Take the square root of both sides:

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4

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Answers

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Answer:60000

Which of the following is a rational number?
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Answers

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OC:50 is the correct answer
Rational numbers are numbers that aren’t already expressed as a quotient or fraction.
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