Answer:
x=3
Step-by-step explanation:
Since both triangles are similiar, this means they can have different sized sides, but they are just scaled versions of each other. This also means that no matter what sides they have, their angles are going to be the exact same
Knowing this, it helps to draw them out side by side so you can match them up easier. Both of them have a 90 degree angle, and more specifically they are 45-45-90 triangles (45-45-90 is a special right triangle). You can point this out since they give us a 90 degree angle and two angles that are congruent in the same triangle. In order for that to work, they HAVE to be 45-45-90
With this, we can find out what x equals. Since the two angles markings line up with the two side angles in the other triangle, we know that they are equal to each other.
we can use the equation 15x = 45, since 45 is what the side angle should equal.
now, we just divide 45 by 15, and we should get 3
so x = 3!
I hope this helps :)
Here's an example number:
123.456
The place values are, from greatest to least:
The 1 is in the <em /><em>hundreds</em> place
The 2 is in the <em /><em>tens</em> place
The 3 is in the <em>ones</em> place
The 4 is in the <em>tenths</em> place
The 5 is in the <em>hundredths </em>place
If you have some number like 9.40 with no decimal point, shifting it will change the value. Moving the decimal one place to the right multiplies the value by ten. (94)
Moving it one place to the rigt divides it by ten. (0.94)
Here's our list from least to greatest:
94.0
9.40
0.94
0.094
Answer:
y= 5x - 3
Step-by-step explanation:
For the slope, use this formula (y2 - y1) / (x2 - x1)
I used (1,2) and (2,7) from the chart
plug 7 for y2, and 2 for x2
then plug 2 for y1, and 1 for x1
7-2 / 2-1 = 5/1 = 5 <-- this is the slope.
Find the y intercept by plugging in (1,2) into y=5x + b
2 = 5(1) +b
2= 5 + b (subtract 5 on both sides)
-3 = b
So the answer is y= 5x - 3
Answer:
The confidence interval is (0.444 ± 0.111).
Step-by-step explanation:
The general form of a confidence interval for single proportion is: 
The interval provided is: (0.333 < p < 0.555)
Then

Solving the two equation simultaneously:
Add (i) and (ii),

Substitute the value of
in (i) to compute the value of <em>E:</em>

Thus, the confidence interval is,

Answer:
1st one is 2. 2nd one is 5. 3rd one is less than. 4th one is, is smaller
Step-by-step explanation: