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Anestetic [448]
3 years ago
10

Find the value of x.

Mathematics
1 answer:
azamat3 years ago
3 0

Answer:

98 °

Step-by-step explanation:

We know that the sum of the angles in a triangle is 180. We also know that angle DAB is 122°, meaning that angle CAB is 180-122, which is 58°. We also know that angle CBA is 24 degrees. Therefore, angle x is just 180-(58+24), which is 98

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PRACTICE ANOTHER The administration of a large university wants to take a random sample to measure student opinion of a new food
Reil [10]

Answer:

81 samples

Step-by-step explanation:

According to the empirical rule :

Possible values of the sample mean is within 3 standard deviations of the population mean :

μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.

3 * sd(x) = 1

sd(x) = 1/3

Recall:

Standard deviation of sampling distribution, sd(x)

sd(x) = σ / sqrt(n)

1/3 = 3 / sqrt(n)

Square both sides

1/9 = 9/n

Cross multiply :

n * 1 = 9 * 9

n = 81

3 0
3 years ago
Which equation can be used to solve for the measure of
lapo4ka [179]

tanx = 36

Step-by-step explanation:

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6 0
3 years ago
The length of the shorter base in an isosceles trapezoid is 4 in, its altitude is 5 in, and the measure of one of its obtuse ang
siniylev [52]
The sum of angles in any quadrilateral, including trapezoid, is 360⁰. 
Because we have <span>an isosceles trapezoid, we have 2 angles with measure 135⁰,
and we have 2 equal acute angles with measure x⁰.
So, we can find value of acute angle,
135*2 +2x =360⁰
270+2x=360
2x=360-270
2x=90
x=45⁰

So, acute angles in trapezoid = 45⁰.
From triangle ABC,
angle ACB =90⁰
angle A=45⁰,
so angle ABC= 180-(90-45)=45⁰
Triangle ABC is isosceles triangle,so |AC| = |CB|= 5 in.

So, longer base AA' = 5+4+5= 14 in

Now, we can find area of trapezoid.
shorter base = 4 in
longer base = 14 in
altitude =h = 5 in
Area of trapezoid =(1/2)(base1+base2)*h
Area of trapezoid = (1/2)(4+14)*5= 9*5=45 in²
Answer is 45 in².
</span>

5 0
3 years ago
X - y = 4<br> x + y = 8<br><br> The x-coordinate of the solution to the system shown is _____.
Valentin [98]
Hello : 
<span>X - y = 4...(1)
x + y = 8...(2)
(1)+(2) :2x= 12

</span><span>The x-coordinate of the solution to the system shown is __6___.</span>
5 0
3 years ago
Read 2 more answers
In certain county, the number of charter schools is 4 less than twice the numbervof alternative schools. We know that there are
Vitek1552 [10]
1. Let's call the number of carter school: "x" and "y" the number of alternative school.  Then, you have that:

 - T<span>he number of charter schools is 4 less than twice the number of alternative schools.
</span> - T<span>here are 48 charter schools in the country.

 2. So, you have:

 x=2y-4  (i)

 x=48  (ii)

 3. Then, when you substitute x=48 into the equation (i), you obtain:
</span>
 x=2y-4
<span> 48=2y-4

 4. Now, you must clear "y, as below:

 48+4=2y
 2y=52
 y=52/2
 y=26
 </span><span>
 How many alternative schools are in the county?
</span><span>
 The answer is: There are 26 alternative schools.</span>
6 0
3 years ago
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