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WARRIOR [948]
4 years ago
10

What are the angles in a 30˚- 60˚- 90˚ triangle after it is rotated 45˚?

Mathematics
1 answer:
VikaD [51]4 years ago
3 0

Answer:

The correct option is;

30° - 60° - 90°

Step-by-step explanation:

Rotation is one of the three rigid transformation of which others are reflection and translation. In a rotation transformation of a figure about a fixed point, known as the center of rotation, the figure is turned in a circular path about the fixed point or center of rotation. The size and shape of the pre-image the rotation are the same however, depending on the angle of rotation, their facing directions may be different. The specification of a rotation can be in the clockwise direction or in the anti-clockwise direction

The shape of the triangle in the question and the image are the same and are therefore congruent. All interior angles of the triangle and those of its rotation will therefore be congruent.

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Kyle is 12 years older than Susan. Last year, he was twice as old as Susan.
iogann1982 [59]

Answer:

13 and 25

Step-by-step explanation:

um so dont hold me to this, but if he's twelve years older than susan she would've been twelve and he would've been 24 last year.

3 0
3 years ago
Kevin and Randy Muise have a jar containing 73 ?coins, all of which are either quarters or nickels. The total value of the coins
inna [77]

Answer:

24 quarters and 49 nickels

Step-by-step explanation:

This situation has two unknowns - the total number of nickels and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

  • n+q=73 is an equation representing the total number of coins
  • 0.05n+0.25q=8.45 is an equation representing the total value in money based on the number of coin. 0.05 and 0.25 come from the value of a nickel and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get n=73-q. We now substitute this for n in the second equation.

0.05(73-q)+0.25q=8.45

3.65-0.05q+0.25q=8.45

3.65+0.20q=8.45

After simplifying, we subtract 3.65 across and divide by the coefficient of q.

0.20q=4.8

q=24

We now know of the 73 coins that 24 are quarters. To find the number of nickels, we subtract 24 from 73 and get 49 nickels.

4 0
3 years ago
Evaluate 4x^2-12x+5 at x=6. A. 67 B. 77 C. 105 D. 221
Kamila [148]

Answer: B. 77

Sub x =6 into the given expression

4x^2 - 12x + 5

= 4(6)^2 - 12(6) + 5

= 144 - 72 + 5

= 77

3 0
3 years ago
Need help asap ..! please and thank you
Hunter-Best [27]
The slope of the line is positive
7 0
3 years ago
The ratio of in-state to out-of-state visitors to the amusement park was 4 to 3. If there were 14,000 visitors to the park, how
exis [7]

Answer:

<em>6000 people</em>

Step-by-step explanation:

Given the ratio of in-state to out-of-state visitors to the amusement park was 4 to 3, the total ratio will be 4+3 = 7

Total visitors in the park = 14,000 visitors

Number of people that were out of state = 3/7 * 14000

Number of people that were out of state = 3 * 2000

Number of people that were out of state = 6000

<em>Hence there were 6000 people out of state.</em>

8 0
3 years ago
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