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Fantom [35]
3 years ago
5

which of the following best describe the blue line in the image below A. The line constructed through point P that is parallel t

o line AB B. The line constructed through point P that is perpendicular to line AB C. The line constructed through point P that intersects line AB at two different points

Mathematics
1 answer:
lesya692 [45]3 years ago
8 0

Answer:

Option B.

Step-by-step explanation:

Option A. "The line constructed through point P that is parallel to line B."

     Since parallel lines never intersect each other, a line intersecting line AB at point P will not be parallel.

Therefore, Option (A) is incorrect.

Option (B). "The line constructed through point P that is perpendicular to line AB."

    Since the angle between line AB and a line constructed through point P has been given as 90°, line through point P will be perpendicular to AB.

Therefore, Option (B) is the answer.

Option C. "The line constructed through point P that intersects line AB at two different points."

    Since, two perpendicular lines intersect each other at only one point, the line constructed from point P will not intersect line AB at two different points.

Therefore, Option C is not correct.

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One-fourth of a number is five-eighths. Find the number.
ioda

Answer:

5/32

Step-by-step explanation:

Since 5/8 x 1/4 = 5/32, that is the answer.

Key Note: When you get this type of question, multiply the second  umber by the first.

4 0
4 years ago
Anybody know the answer I need help. Please
Evgen [1.6K]

Answer:

  \dfrac{p^2+9p+2}{p^2-49}

Step-by-step explanation:

Problems like this require that you recognize that the denominator of the right term is a factor of the denominator of the left term. That is, you're supposed to know how to recognize and factor the difference of two squares.

  \dfrac{5-p}{49-p^2}+\dfrac{p+1}{p-7}=\dfrac{p-5}{p^2-49}+\dfrac{p+1}{p-7}\\\\=\dfrac{p-5}{(p-7)(p+7)}+\dfrac{p+1}{p-7}\cdot\dfrac{p+7}{p+7}\\\\=\dfrac{(p-5)+(p+1)(p+7)}{(p-7)(p+7)}=\dfrac{p-5+p^2+8p+7}{p^2-49}=\dfrac{p^2+9p+2}{p^2-49}

8 0
3 years ago
An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa
Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = 7^{\circ}

\angle CAB = \angle DCA = 7^{\circ}       [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

\tan (\theta) = \frac{Opposite side}{Adjacent Base}

\tan (\angle CAB) = \frac{BC}{AB}

Here, BC = 50 foot and \angle CAB =7^{\circ}

then;

\tan (7^{\circ}) = \frac{50}{x}

or

x = \frac{50}{\tan 7^{\circ}}

x = \frac{50}{0.1227845609}

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'





5 0
3 years ago
Determine whether $10.62/61lb = $7.05/4lb form a proportion. Explain.
dimaraw [331]
$10.62 / 61lb =$7.05 / 4 lb
se invierte $7.05 y 61 lb
$10.62/ $7.05 =61lb / 4lb
simplifica
$3.54/$2.35=61/4lb
5 0
3 years ago
Y = 2/3 when x = 0.2
azamat
Please explain some more:)
4 0
3 years ago
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