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aniked [119]
3 years ago
15

the pta placed a trail marker in the ground every four hundred yards.Every nine hundred yards the pta set up a water station. Wh

at is the shortest distance a runner Will have to run to both a water station and a trail marker at the same location.
Mathematics
1 answer:
FrozenT [24]3 years ago
6 0
The answer is 3600 yards
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What value of x will make the given triangles congruent?
Molodets [167]
Because you're trying to make them congruent, equal the two expressions to each other. 

So, for #10 you would equal them so it would look like this. 
2x+2=5x-19

Then you would just go ahead and simplify

2x+2=5x-19
-2x     -2x
---------------
2= 3x -19
+19    +19
---------------
21=3x
---  ----
3     3

x=7

This means that x should be 7. You can check this just by plugging it in

2x+2
2(7)+2 = 16

5x-19
5(7)-19= 16

Same with #11.

x+8=3x-14
-x     -x
--------------
8=2x-14
+14   +14
--------------
22=2x
---  ----
2     2

x=11

Check. 

x+8
11+8= 19

3x-14
3(11) - 14 = 19
6 0
3 years ago
Lopez’s mailing bill is automatically deducting $19 from his bank account every month. How much will the deductions total for th
MakcuM [25]

If Lopez's mailing bill continues to deduct 19$ from his bank account every month for a year, then in total, the deductions total for the year would be $228.00.

Why?

$19.00 is being taken away each month. There are 12 months in a year.

$19.00 x 12 months = the total of $228.00 a year.

5 0
3 years ago
Water starts out at a temperature of 62 F . It is heated such that its temperature increases at a rate of 8 F per minute. It tak
bogdanovich [222]

Answer:

Step-by-step explanation:

since it starts at 62 and finishes at 150 u can find out that the increase in temp is 150F and since it increases by 8 every minute u can come to find that the increase in temp (150) divided by the amount it increases 8 is 18.75 which is the amount of minutes it took

7 0
3 years ago
Read 2 more answers
Inductive reasoning involves applying a general rule to a specific situation.
Elenna [48]
I believe the correct answer is true. Inductive reasoning involves applying a general rule to a specific situation. It <span>is a logical process in which multiple premises, all believed true or found true most of the time, are combined to obtain a specific conclusion. Hope this answers the question.</span>
5 0
4 years ago
Isosceles JAM has convex angle M. JM=35,MA=4n+3, angle J=14w-1, and angle m=98 Find n. Find w. Find the perimeter of JAM
Lena [83]

Answer:

n = 8, w = 3 and perimeter = 122.83 units.

Step-by-step explanation:

Let the angle M is the angle between the equal sides of isosceles JAM.

So, JM = MA

⇒ 35 = 4n + 3

⇒ 4n = 32

⇒ n = 8 (Answer)

Now, if ∠ J = 14w - 1 and ∠ M = 98°, then

2(14w - 1) + 98 = 180

⇒ 2(14w - 1) = 82

⇒ 14w - 1 = 41

⇒ w = 3 (Answer)

Now, draw a perpendicular bisector on JA from vertex M and it meets JA at P say.

So, Δ MPJ will be a right triangle with ∠ J = (14w - 1) = 41° {Since w = 3}

Hence, \cos 41 = \frac{JP}{JM} = \frac{JP}{35}

⇒ JP = 35 cos 41 = 26.415

So, JA = 2 × JP = 52.83  

So, the perimeter of Δ JAM is = 35 × 2 + 52.83 = 122.83 units (Answer)

4 0
4 years ago
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