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mario62 [17]
3 years ago
5

PLEASE ANSWER ASAP!! THANKS!!

Mathematics
2 answers:
Elena L [17]3 years ago
8 0

Answer:

40

Step-by-step explanation:

The angles stay the same but, the position of the triangle changes.

Hope this helps,

kavitha

Nadya [2.5K]3 years ago
8 0

Answer: A’ = 40ᴼ

Step-by-step explanation:

The angles are congruent and add to equal 180ᴼ

A = 40ᴼ

The measure of A stays the same when the angles are rotated

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Show solutions please
slega [8]

Answer:

1. Their ages are:

Steve's age = 18

Anne's age = 8

2. Their ages are:

Max's age = 17

Bert's age = 11

3. Their ages are:

Sury's age = 19

Billy's age = 9

4. Their ages are:

The man's age = 30

His son's age = 10

Step-by-step explanation:

1. We make the assumption that:

S = Steve's age

A = Anne's age

In four years, we are going to have:

S + 4 = (A + 4)2 - 2 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we had:

S - 3 = (A - 3)3

S - 3 = 3A - 9

S = 3A - 9 + 3

S = 3A – 6 …………. (2)

Substitute S from (2) into (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into (3), we have:

S = (3 * 8) – 6 = 24 – 6

S = 18

Therefore, we have:

Steve's age = 18

Anne's age = 8.

2. We make the assumption that:

M = Max's age

B = Bert's age

Five years ago, we had:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (3)

A year from now, it will be:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30

M = 30 – 2 – B

M = 28 – B …………………… (4)

Substitute M from (4) into (3) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

If we substitute B = 11 into equation (4), we will have:

M = 28 – 11

M = 17

Therefore, their ages are:

Max's age = 17

Bert's age = 11.

3. We make the assumption that:

S = Sury's age

B = Billy's age

Now, we have:

S = B + 10 ................................ (5)

Next year, it will be:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (6)

Substituting S from equation (5) into equation (6) and solve for B, we will have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (5), we have:

S = 9 + 10

S = 19

Therefore, their ages are:

Sury's age = 19

Billy's age = 9.

4. We make the assumption that:

M = The man's age

S = His son's age

Therefore, now, we have:

M = 3S ................................... (7)

Five years ago, we had:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (8)

Substituting M = 3S from (7) into (8) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (7), we have:

M = 3 * 10 = 30

Therefore, their ages are:

The man's age = 30

His son's age = 10

3 0
3 years ago
a bird bath that is 3 ft talk casts a shadow that is 2 ft long.Find the height of a tent that casts a 6 ft shadow.
zheka24 [161]

Answer:

is it 5ft

Step-by-step explanation:

if the bird bath had a foot taken off in the shadow then wouldn't a foot be taken off for the tent as well

6 0
2 years ago
Simplify (5x^-6)^3 leave your answer as a fraction in index form
Elan Coil [88]

Answer: 125/x^18

Step-by-step explanation: this should be the answer

5 0
2 years ago
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After a holiday dinner, there are 3 1/3 apple pies left and 2 5/6 pumpkin pies left.
leonid [27]
Hi! I'm pretty sure this is correct so here it goes:
A. 3/6
B. 12 4/6
4 0
3 years ago
Mimi feeds her dog 7.5 lbs of food in a week. She feeds her cat 3.75 lbs of food in a week. How many total lbs of food do her pe
algol [13]
Both of her pets eat 11.25lbs of food in a week
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