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serious [3.7K]
2 years ago
14

If triangle ABC A(-4,5) B(-4,-6) and C(3,-8)is rotated 90 degrees counterclockwise about the origin, what would be the coordinat

es of the new image?
Mathematics
2 answers:
stepladder [879]2 years ago
5 0
(-4,-5)(-4,6)(3,8)
all y signs become opposite!:)
3241004551 [841]2 years ago
5 0
Umm is this the answer cause I need help on this too
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Solve for the indicated variable. Include all of your work in your answer. Submit your solution.
kenny6666 [7]
C=2r
divide both sides by 2
c/2=r
c=2pir
divide by 2pi
c/(2pi)=r
6 0
3 years ago
Read 2 more answers
What is the arc measure of abc in degrees
Virty [35]

<u>Given</u>:

The measure of arc AB is (4y + 6)°

The measure of arc BC is (20y - 11)°

The measure of arc AC is (7y - 7)°

We need to determine the measure of arc ABC.

<u>Value of y:</u>

The value of y is given by

m \widehat{AB}+m \widehat{BC}+ m \widehat{AC}=360

Substituting the values, we get;

4y+6+20y-11+7y-7=360

Adding the like terms, we have;

31y-12=360

Adding both sides of the equation by 12, we have;

31y=372

   y=12

Thus, the value of y is 12.

<u>Measure of arc ABC:</u>

The measure of arc ABC can be determined by adding the measure of arc AB and arc BC.

Thus, we have;

m \widehat{ABC}=m \widehat{AB}+ m \widehat{BC}

m \widehat{AB}+m \widehat {BC}=4y+6+20y-11

                      =24y-5

Substituting y = 12, we get;

m \widehat{AB}+m \widehat {BC}=24(12)-5

                      =288-5

m \widehat{AB}+m \widehat {BC}=283^{\circ}

Thus, the measure of arc ABC is 283°

6 0
3 years ago
Anna started reading at 4:00 pm and finished at 4:20 pm. How many degrees did the minute hand turn?
klasskru [66]
The minute hand moved 315 degrees.
3 0
3 years ago
The owner of two hotels is ordering towels. He bought 15 hand towels and 43 bath towels for his hotel in Livingston, spending a
coldgirl [10]

Answer:

The cost of each Hand towels is $5 and Cost of each Bath towel is $11.

Step-by-step explanation:

Let the Cost of Each hand Towels be 'x'.

Let the Cost of Each Bath Towels be 'y'.

Now Given:

15 hand towels and 43 bath towels for his hotel in Livingston, spending a total of $548.

So we can say that;

15x+43y=548

15x=548-43y\\\\x=\frac{548-43y}{15}  ⇒ Equation 1

Also Given:

99 hand towels and 62 bath towels for his hotel in Lancaster, spending $1,177.

So we can say that;

99x+62y =1177  ⇒ Equation 2

Substituting the value of 'x' from equation 1 in Equation 2 we get;

99\frac{(548-43y)}{15}+62y=1177\\\\33\frac{(548-43y)}5+62y=1177\\\\\frac{18084-1419y}5+62y=1177

Now taking LCM to make the denominator common we get;

\frac{18084-1419y}5+\frac{62y\times5}{5}=1177\\\\\frac{18084-1419y}5+\frac{310y}5=1177\\\\\frac{18084-1419y+310y}{5}=1177

18084-1109y=1177\times5\\\\18084-1109y=5885

Combining the like terms we get;

18084-5885=1109y\\\\12199=1109y

Dividing both side by 1109 we get;

\frac{12199}{1109}=\frac{1109y}{1109}\\\\y=\$11

Substituting the value of y in equation 1 we get;

x=\frac{548-43y}{15}=\frac{548-43\times11}{15}=\$5

Hence The cost of each Hand towels is $5 and Cost of each Bath towel is $11.

7 0
3 years ago
Two joggers set out at the same time from their homes 24 miles apart. They agree to meet at a point
Andrej [43]

9514 1404 393

Answer:

  5 mph, 11 mph

Step-by-step explanation:

Together, they cover 24 miles in 1.5 hours, so their total rate of speed is ...

  (24 mi)/(1.5 h) = 16 mi/h

If s is the rate of the slower jogger, then s+6 is the rate of the faster one. Their total speed is ...

  s + (s+6) = 16

  2s = 10 . . . . . . . subtract 6

  s = 5 . . . . . . . . . divide by 2

  s+6 = 11

The rates of the joggers are 5 mph and 11 mph.

6 0
2 years ago
Read 2 more answers
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