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MrRissso [65]
3 years ago
7

What is the value of x? x =

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

x=58

Step-by-step explanation:

There is a formula that angle 51 is half of 160-x, so we have equation to find x:

(160-x)/2=51

160-x=102

X=58

You might be interested in
What is two fifths if 35 dollars and 10 cents??
Verdich [7]
14.04 US dollars or 14 4/10
6 0
3 years ago
"Complete the square" to convert the equation of each circle to graphing form. Identify the center and the radius.
Reil [10]

Answer:

The center is (-3,2) and the radius is r=2

Step-by-step explanation:

The general equation of the given circle is

x^2+6x+y^2-4y=-9

Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;

x^2+6x+3^2+y^2-4y+(-2)^2=-9+3^2+(-2)^2

x^2+6x+9+y^2-4y+4=-9+9+4

x^2+6x+9+y^2-4y+4=4

The quadratic trinomials in x and y on the left side of the equations are perfect squares.

We factor to obtain;

(x+3)^2+(y-2)^2=4

(x--3)^2+(y-2)^2=2^2

Comparing to:

(x-h)^2+(y-k)^2=r^2

The center is (-3,2) and the radius is r=2

8 0
3 years ago
Solve this system of linear equations. Separate
Elanso [62]

Answer:

(-3, -3)

Step-by-step explanation:

1.) Rewrite the second equation so 3y is on one side of the equation:

3y=6+5x

2.) Substitute the given value of 3y (replacing 3y with 6+5x, since we know they equal each other) into the equation 17x=-60-3y

Should end up with this:

17x=-60-(6+5x)

3.) Solve 17x=-60-(6+5x)

Calculate Difference: 17x=-66-5x

Combine Like Terms: 22x = -66

Divided both sides by 22 to isolate and solve for x: -3

So We know x=-3, now we got to find the y value. We can use either the first or second equation to find y value, so lets use the second.

3y=6+5x

1.) We know that x=-3, so we can simply substitute x in the equation

3y=6+5x with -3

3y=6+5(-3)

2.) Solve 3y=6+5(-3)

Combine Like Term: 3y=6+-15

Combine Like Term Even More: 3y= -9

Divide by 3 on both sides to isolate and solve for y: y=-3

So now we know y=-3 and once again we know x=-3, so if we format that

(-3,-3)

^  ^

x  y

4 0
3 years ago
It costs more to produce defective items - since they must be scrapped or reworked - than it does to produce non-defective items
Shtirlitz [24]

Answer:

1,082

Step-by-step explanation:

The sample size n in Simple Random Sampling is given by

\bf n=\frac{z^2s^2}{e^2}

where  

z = 1.645 is the critical value for a 90% confidence level (*)

s = 2 is the estimated population standard deviation

e = 0.1 mm points is the margin of error

so  

\bf n=\frac{z^2s^2}{e^2}=\frac{(1.645)^2(2)^2}{(0.1)^2}=1,082.22\approx 1,083

rounded up to the nearest integer.

So the manufacturer should test 1,083 parts.

---------------------------------------------------------------------------------------

(*)This is a point z such that the area under the Normal curve N(0,1) outside the interval [-z, z] equals 10% = 0.1

It can be obtained in Excel with

NORMINV(1-0.05,0,1)

and in OpenOffice Calc with

NORMINV(1-0.05;0;1)

5 0
3 years ago
How many kilograms are in 44 pounds? 1 kg=2.2lbs
Lena [83]

Answer:

20 kilograms

Step-by-step explanation:

8 0
3 years ago
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