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Naddika [18.5K]
3 years ago
11

What is the justification for step 1 in the solution process?

Mathematics
1 answer:
Sholpan [36]3 years ago
7 0
It’s the subtraction property of equality because you’re subtracting 15 from both sides
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A circle has a circumference of 361\pi361π361, pi. What is the diameter of the circle?
denpristay [2]
Remember, C=\pi d, where C is circumference and tex]d[/tex] is the diameter. They are related by a constant \pi (pi).

We can solve the above equation for d and then substitute our known values.
C=\pi d

d= \dfrac{C}{ \pi } =  \dfrac{361  \pi }{ \pi } = 361 \ units
7 0
3 years ago
Solve the following word problem by using an equation and factoring. The sum of a positive number and its square is 20. What is
riadik2000 [5.3K]
Number:  n
square of number:  n^2
sum of n and n^2 is n+n^2=20
Rewriting this equation, we get n^2+n-20=0 = (n+5)(n-4) = 0

Then n+5=0 and n-4=0, so n = -5 and n = 4.

You must check both results.  It could happen that both are correct, or that only one is correct.

5 0
3 years ago
Can someone help me and walk me through this ;) 79 points
elixir [45]

Answer:

D

Step-by-step explanation:

Ok well first off the bat, you know that obviously AC is equal to itself since the triangles share a side.  That's Reflexive Property just saying. This is your first equal side.

AB is congruent to DC will form the term SSA in order.

AB is congruent to CD will form the term SSA in order.

AD is congruent to DC will form the term SSS or SSA in order.

AD is congruent to BC will form the term ASA in Order.

So AD is congruent to BC is the Answer!


Hope This Helped!

3 0
4 years ago
60°<br> 8<br> 30°<br> х<br> Determine the value of x.
lana [24]

Answer:

4 sqrt(3) =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = x / 8

8 sin 60 = x

8 ( sqrt(3)/2) = x

4 sqrt(3) =x

8 0
3 years ago
Which shows the set(s) the number 2.77 is an element of?
natulia [17]
Real numbers
2.77 is not a natural number (counting numbers 1, 2, 3, ...)
2.77 is not a whole number (non-negative integers 0, 1, 2, 3, ...)
2,77 is not an element of null set as a null set has no elements.

{5, 7, 9}
The elements 5, 7 and 9 are elements of set D and they are also elements of set E.
7 0
4 years ago
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