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lana66690 [7]
3 years ago
8

Find the measure of x.

Mathematics
1 answer:
Andru [333]3 years ago
5 0

Answer:

C

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent

x is the angle between line with 3 strokes and 2 strokes

The corresponding angle is therefore ∠ C

∠ C = 180° - (63 + 29)° = 180° - 92° = 88°

Then x = 88 → C

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If 1 is added to a number and the sum is tripled​, the result is 17 more than the number. Find the number
bearhunter [10]
Form an equation. Start by representing the number you want to find as X. Now add 1.
X + 1
Now we need to triple it. That basically means multiply X+1 by 3. You can write that as:
3 (X + 1)
Now we write out that the result is 17 more than the number we want to find. So set an equals sign up
3 (X + 1) =
And now write X + 17
3 (X + 1) = X + 17

Now we solve for X.
Firstly, let's get rid of the X on the right.
Remember, if we want to get rid of a number of variable on one side, we need to use opposites, and do the same to the other side of the equation.
In this case, we have a positive X on the right. To get rid of that, we subtract X from both sides. This will leave us with:
2x + 3 = 17
Now let's get rid of the +3 on the left. To do this, we subtract 3 from both sides of the equation.
2x = 17 - 3
2x = 14
Now we just need to get X by itself. The 2 in front of the X multiplies X by 2. Therefore, to get X on its own, we need to divide 2x by 2, which just gives us 2.
We also need to divide the other side by 2, because if we do something on one side, we need to do something on the other too. So divide 14 by 2, and we get 7.
X = 7

But before we celebrate, let's double check the answer. Add 1 to 7. This gives us 8. Triple 8. This is 24. This should be 17 more than 7. So go, 24 - 17. And whaddya know - it's 7!

4 0
3 years ago
A tub filled with 50 quarts of water empties at a rate of 2.5 quarts per minute. let w = quarts of water left in the tub and t =
Sholpan [36]

This is a linear relationship. The slope-intercept form of the linear equation is:

y=mx+c

Where,

  • m is the rate of change (positive if increasing rate and negative if decreasing rate)
  • c is the y intercept, or the initial value

<u><em>Rate of change is 2.5 quarts per minute (it is decreasing so m is -2.5)</em></u>

<u><em>Initial value is 50 quarts, so c is 50.</em></u>

Plugging in the values we get y=-2.5x+50.


Changing variables to w instead of y and t instead of x, gives us,

w=50-2.5t. Where w is warts of water left in the tub and t is the time in minutes.


There is no viable solution when t=30 because at t=20, w=0 (0=50-2.5(20)). It means after 20 minutes, there is no water left. So t=30 minutes doesn't make sense.


ANSWER:

Modelling equation: w=50-2.5t

When t=30, there is no VIABLE solution

5 0
3 years ago
Read 2 more answers
What is 4 divide blank equal 4<br> ?
soldi70 [24.7K]
1 is the answer to nthis/...
3 0
3 years ago
Read 2 more answers
I need help on this homework
abruzzese [7]

Answer:

Tn=a(n-1)d

T50=261(50-1)-5

T50=12784

5 0
3 years ago
DOES ANYONE KNOW THIS
GREYUIT [131]

Answer: 13 players.


Step-by-step explanation:

1. Let's call:

 x: Price of the shirt (x=17)

 y: Price of socks  y=5.50

 n: number of players.

2. You know that the budget is $300 and you have the following formula given in the problem:

n(x+y)\leq300

3. Substitute values and solve for n.Then, you obtain the following result:

n(17+5.50)\leq300\\22.5n\leq300\\n\leq13.33

4. The answer is: 13 players.

5 0
3 years ago
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