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3 years ago

A triangle ABC with vertices A (1,5) B (5,2) And C (-1,2) is rotated 90o what are the coordinates of B

Mathematics

2 answers:

Anon25 [30]3 years ago

6 0

Answer:

coordinates of B(2 , -5).

Step-by-step explanation:

Given : triangle ABC with vertices A (1,5) B (5,2) And C (-1,2) is rotated 90°.

To find : what are the coordinates of B.

Solution : We have given

Vertices A (1,5) B (5,2) And C (-1,2) is rotated 90° .

By the rotation rule of 90° is ( x , y ) →→ (y , -x).

Then coordinates of B ( 5, 2) →→ B'(2 , -5).

Therefore, coordinates of B(2 , -5).

Kitty [74]3 years ago

3 0

Assuming this is around the origin:

To find the rotation by 90 degrees, it would be (y, -x) (Assuming that the x and y are both variables and number figures)

So therefore, (5, 2) would become (2, -5).

I hope this helped! :)

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If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the pro

Lunna [17]

Answer:

20ft

Step-by-step explanation:

20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft

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3 years ago

Which type of parent function is f(x) = |x|?

mariarad [96]

The absolute value parent function.

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3 years ago

You have 100 quarters in a jar. One of the quarters is double sided (heads). You pick out a random quarter and flip it 7 times,

zysi [14]

Answer:

Probability of having the double sided coin is 1 %

Probability of getting heads on the next flip is 50%

Step-by-step explanation:

Based on the information given to us in the question we have a total of 100 coins in the bag and only 1 is double heads. Therefore the probability of you picking the double sided coin is $\frac{1}{100}$ or 1 % . This probability is not affected by the fact that the coin you chose got heads 7 times in 7 flips.

Since a coin has 2 sides and you do not know whether the coin you have is the double sided coin then you have to assume that it is a normal 2 sided coin. Therefore a normal 2 sided coin has a probability of $\frac{1}{2}$ or 50% with every flip of getting heads.

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8 0

3 years ago

Please I need help ASAP<br>pls explain your answer

USPshnik [31]

Answer:

47.62 cm

Step-by-step explanation:

ABCD is a rhombus. Each side measures 15 cm.

m<A = 60°.

Here are some properties of a rhombus:

Opposite angles of a rhombus are congruent.

m<C = m<A = 60°

m<ADC = m<ABC

The sum of the measures of the interior angles of a quadrilateral is 360°.

The diagonals are perpendicular bisectors of each other.

m<A + m<C + m<ADC + m<ABC = 360°

60° + 60° + 2m<ADC = 360°

2m<ADC = 240°

m<ADC = 120°

Each diagonal of a rhombus bisects a pair of congruent, opposite angles.

m<ADB + m<CDB = m<ADC

m<ADB = m<CDB

m<ADB + m<ADB = 120°

m<ADB = 60°

Triangle ABD had two angles, <A and <ADB, that measure 60°. Therefore, the third angle, <ABD also measures 60°. That makes triangle ABD an equilateral triangle.

Draw segment AT.

T is the midpoint of BD. The segment AT is the perpendicular bisector of segment BD. Triangle ATD is a 30-60-90 triangle.

Using the ratio of the lengths of the sides of a 30-60-90 triangle, we can calculate the length of AT which is the radius of circle A.

TD : AT : AD

1 : √3 : 2

AD = 15 cm

TD = AD/2

AT = √3 × TD

AT = (AD√3)/2

AT = 7.5√3 = 12.99

AQ = 12.99

perimeter = QD + PB + m(arc)PTQ + BC + CD

perimeter = (15 - 12.99) + (15 - 12.99) + 60°/360° × 2π(12.99) + 15 + 15

perimeter = 47.62

Answer: perimeter = 47.62 cm

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3 years ago

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gayaneshka [121]

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3 years ago

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