All categories

3 years ago

What is the value if x ?

Mathematics

1 answer:

dexar [7]3 years ago

7 0

Answer:

x=3

Step-by-step explanation:

We have to use the fact that all angles of a triangle add up to 180 and two supplementary angles add up to 180.

First,QRS forms a line, so angle QRT and angle TRS add up to 180 or, if we call angle TRS y for the sake of having it as a variable, 45x+y=180 or y=180-45x

Now we have all three angles of the triangle, and we know all three add up to 180, so startign with our newly found angle, (180-45x)+(25x)+(57+x)=180

180-45x+25x+57+x=180

237 - 19x = 180

57 = 19x

x=3

Let me know if you need any further explanation.

You might be interested in

A store sells 70 soccer balls one for $15.00 each and the other for $65.00 they made a total of 2,400. Write and solve the equat

Pepsi [2]

Answer:

One store sold 27, and the other sold 43.

Step-by-step explanation:

So, we can easily set this up in an equation. X represents the number of soccer balls in store one, and Y represents the number of soccer balls in store two. Since there's a total of 70 soccer balls...

x+y=70

And since we know how much money they sold for and made total...

15x+65y=2400

We'll grab that first equation and change it around a bit. We'll make it an equation where we're solving for y. Remember that when we switch a value from one side to the other, that value becomes negative. Since x is going to the other side, the x becomes negative.

y=-x+70

We can plug this equation into our second one.

15x+65(-x+70)=2400

We distribute the 65 to the values inside the parentheses.

15x-65x+4550=2400

We only want x on the left side, so we're going to subtract 4550 from both sides.

15x-65x=-2150

Then we can subtract 15x by 65x, resulting in another negative number.

-50x=-2150

Then, we just divide both sides by -50. A negative and a negative makes for a positive.

x=43

Now we know one store sold 43 soccer balls for $15 each. We can plug our new x into the first equation.

43+y=70

Then we subtract both sides by 43.

y=27

Now we know the other store sold 27 soccer balls for a whopping $65 each. Just to double check, we'll plug our numbers into the other equation, too.

15(43)+65(27)=2400

645+1755=2400

Yep! So, we end up with one store selling 43 and the other selling 27.

4 0

3 years ago

a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola

Jet001 [13]

Answer:

The vertex form of the equation is $y = -\frac{1}{3}( x-1)^{2} +1$ .

Step-by-step explanation:

You will use the equation $y=a(x-h)^{2} +k$ to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get $y= a(x - 1)^{2} +1$ .

Then, we substitute the point as our x and y to get $-2 = 9a+1$ (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the $9a$ to get $9a = 3$ . Finally, divide by 9 on both sides to get $a=\frac{1}{3}$ .

Now, substitute your $a$ back into the equation to get y = $-\frac{1}{3}(x-1)^{2}+1$ .

This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get $y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}$ .

5 0

4 years ago

Which expression in equivalent to 12(2n+6) ?

Zigmanuir [339]

Answer:

the correct answer is 12+2n+6

Step-by-step explanation:

#-APPLYOURKNOWLEDGE

DONT FORGET TO FOLLOW,HEART AND LASTLY BRINLIST.

4 0

3 years ago

I need help with this question please

11Alexandr11 [23.1K]

Since you know that the equation of straight line is y=Mx + c
Where m mean gradient , and c means intercept
We don’t know our intercept neither do we know our gradient
So we have to find these to get our equation
Therefore, to find m( gradient) from the table
We are going to use the formulae for gradient which is
M=y2-y1 / x2-x1
I.e from the table
M= 23-15 / 4-2
M=8/2
M=4
Therefore how gradient is 4

3 0

3 years ago

A group of 16 people is choosing a chairperson and vice-chairperson. They put all 16 people's names into a hat. The first name d

Strike441 [17]

Answer:

2 in 16

Step-by-step explanation:

6 0

3 years ago