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MrRissso [65]
3 years ago
11

PLEASE HELP FAST WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER ​

Mathematics
1 answer:
lawyer [7]3 years ago
4 0

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  (12x +12)° = 79° +(5x+3)°

  7x = 70 . . . . . . . . divide by °; subtract 12+5x; collect terms

  x = 10 . . . . . . . . divide by 7

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A man (M) is standing on the bank of a river that is 0.9 miles wide. He wants to reach a house (B) on the opposite shore that is
atroni [7]

Answer:

The distance between the hose and the point (P) is 0.9 miles

Step-by-step explanation:

Here we have

Speed of rowing the boat = 3 mph

Speed of waling = 4.5 mph

Since the speed of walking is more than that of to row the  boat, the location of where he should dock his boat in order to minimize the total time he would need to reach the house is the shortest distance across the river to the house

Therefore the location of the point (P) should be directly opposite the house across the water and the distance id 0.9 miles.

3 0
3 years ago
Harvey walks 45 feet in 8.5 seconds. What is Harvey's rate in feet per<br> second?
lilavasa [31]

The answer is : 5.29411764706

The answer when rounded:  5.29 or 5.3

I found the answer by simply dividing 45/8.5 - Remember that per means division!

6 0
3 years ago
I NEED HELP PLEASE! TEST
SIZIF [17.4K]

Answer:

Yes by SSS because you have the same hypotenuse and same hatch marks on other sides

6 0
3 years ago
Read 2 more answers
You have 42,784 grams of a radioactive kind of curium. If its half-life is 18 years, how much will be left after 72 years?
s344n2d4d5 [400]

Answer:

2,674.14 g

Step-by-step explanation:

Recall that the formula for radioactive decay is

N = N₀ e^(-λt)

where,

N is the amount left at time t

N₀ is the initial amount when t=0, (given as 42,784 g)

λ = coefficient of radioactive decay

  = 0.693 ÷ Half Life

  = 0.693 ÷ 18

  = 0.0385

t = time elapsed (given as 72 years)

e = exponential constant ( approx 2.7183)

If we substitute these into our equation:

N = N₀ e^(-λt)

= (42,787) (2.7183)^[(-0.0385)(72)]

= (42,787) (2.7183)^(-2.7726)

=  (42,787) (0.0625)

= 2,674.14 g

6 0
4 years ago
A rectangle has vertices at these coordinates. (−6, 3), (−6, 5), (2, 3) What are the coordinates of the fourth vertex of the rec
Anna35 [415]

Answer:

(2, 5).

Step-by-step explanation:

The length of the line joining the first 2 points = (5 - 3) = 2 units. This is a vertical line because the 2 x coordinates  ( -6 and - 6) are equal.

The line joining ( -6 , 3) and (2 , 3) is horizontal and is 2 - -6 = 8 units long.

Because we have a rectangle the point we need to find must have x coordinate of 2 and the y coordinate will be 2 more than the y coordinate 3.

.So it is  (2, 5),

7 0
3 years ago
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