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3 years ago

Which construction is illustrated above?

Mathematics

2 answers:

marin [14]3 years ago

8 0

Answer: Option B

Step-by-step explanation: In the given figure two angles are given congruent. These are angles in matching corners of the two lines and the transversal ,such angles are called corresponding angles.When lines are parallel corresponding angles are equal.

Among all the given options Option B. an angle congruent to a given angle is the right option.

Y_Kistochka [10]3 years ago

7 0

The construction illustrated above is <u>a parallel line to a given line from a point not on the line.</u> Option (A) is correct.

Further Explanation:

Given:

The options are as follows,

A. A parallel line to a given line from a point not on the line

B. An angle congruent to a given angle

C. The bisector of an angle

D. A perpendicular to a given line from a point on the line

Explanation:

From the figure it has been observed that the two line are parallel to each other.

The construction illustrated above is <u>a parallel line to a given line from a point not on the line.</u> Option (A) is correct.

Option (A) is correct.

Option (B) is not correct.

Option (C) is not correct.

Option (D) is not correct.

Learn more:

If the clothing maker bought 500 m2 of this fabric, how much money did he lose? Use 1tepiz=0.625dollar and 0.9144m=1yard brainly.com/question/2479097.
Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. What is this volume in cubic meters? brainly.com/question/1446243.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Line and Rays

Keywords: congruent, fill, blank, conclude, OH, OE, chord, tangent, displacement, two chords, radius, center, circle, equidistant.

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Answer: her speed on the bicycle is 8 mph

Step-by-step explanation:

Let x represent the speed at which she walks. If she rides 6 mph faster than she can walk, then the speed at which she rides is (x + 6) mph

Distance = speed × time

Eli walk from her house to a friends house in one hour. This means that the distance covered is 1 × x = x miles.

Distance on her bicycle in 15 minutes. Converting 15 minutes to hours, it becomes 15/60 = 0.25 hour. Distance covered while riding is 0.25(x + 6) = 0.25x + 1.5

Since the distance is the same,then

x = 0.25x + 1.5

x - 0.25x = 1.5

0.75x = 1.5

x = 1.5/0.75

x = 2

her speed on the bicycle is

x + 6 = 2 + 6 = 8 mph

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3 years ago

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3 years ago

Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av

Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving <u>to</u> the airport (in mph)

⇒ v + 15 = average speed driving <u>from</u> the airport (in mph)

Using: distance = speed x time

$\implies t=\dfrac{d}{v}$

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

$\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}$

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

$\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1$

Now all we have to do is solve the equation for v:

$\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1$

$\implies \dfrac{18(v+15)+18v}{v(v+15)}=1$

$\implies 18(v+15)+18v=v(v+15)$

$\implies 18v+270+18v=v^2+15v$

$\implies v^2-21v-270=0$

$\implies (v-30)(v+9)=0$

$\implies v=30, v=-9$

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

8 0

2 years ago

Read 2 more answers

A box of cereal has a volume of 144 inches squared. the height of the cereal box is 12 inches, and the depth is 2 inches. what i

Nutka1998 [239]

The value of the given cone with a volume of 144 has a width is 6 inches.

We have given that,

A box of cereal has a volume of 144 inches squared.

The height of the cereal box is 12 inches, and the depth is 2 inches.

The volume of cone = 144 inches squared.

height=12 inches

depth=2inches

<h3>What is the formula of the cube?</h3>

Area of a cube = V = L * W * H

L-length

W-width

H-height

We have to determine the width cereal box.

Plug the given values in the formula

V = L * W * H

144=2×12×width

Width=144/24

Width=6inches

Therefore the value of the width is 6 inches.

To learn more about the volume visit:

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2 years ago