Answer:
39,000
Step-by-step explanation:
Answer:
<u>Option B. Side YZ is the same length as side Y'X'.</u>
Step-by-step explanation:
At first the image is for the given question
The true graph is the attached figure.
As shown at the attached figure.
XYZ is reflected across the y-axis and then translated down 6 units to form X'Y'Z'.
So, X' is the image of point X
Y' is the image of point Y
Z' is the image of point Z
And ΔXYZ ≅ ΔX'YΔ'Z'
And the corresponding length are congruent.
We will check the options:
A. X has the same measure as X'. ⇒ True
B. Side YZ is the same length as side Y'X'. ⇒ Wrong
Because YZ will be translated to Y'Z'
C. Z has the same measure as Z'. ⇒ True
D. Side XZ is the same length as side X'Z'. ⇒ True
<u>So, The answer is option B. Side YZ is the same length as side Y'X'.</u>
Hello there! So, y = mx + b is in slope-intercept form, where m represents the slope, b represents the y-intercept, and y and x remain unfilled. First off, let's solve for the slope. The formula for slope is y2 - y1 / x2 - x1, where you subtract the first x and y coordinates from the second x and y coordinates. So it would be formed like this:
9 - 4 / 6 - (-4)
Let's subtract. 9 - 4 is 5. 6 - (-4) is 10. 5/10 is 1/2 in simplest form. The slope for this equation is 1/2. Now, let's find the y-intercept. We will find that by plugging one of the points into the equation and solving for b. The x and y coordinates will be filled in by that coordinate. Let's use (-4, 4) for this problem. We will also plug in the slope. In this case, the problem will look like this:
4 = (1/2)(-4) + b
Now, let's multiply 1/2 and -4 to get -2. Now, to get b by itself, subtract 2 to both sides to isolate the b. -2 + 2 cancels out. 4 + 2 is 6. b = 6. There. The equation of the line in slope-intercept form is y = 1/2x + 6.
Based on the information given, the computation shows that the distance between them is 2.47 miles.
<h3>
Solving the distance.</h3>
Since one has bearing 41°45', this will be: = 41° + (45/60) = 41° + 0.75 = 41.75°.
The other has bearing 59°13'. This will be:
= 59° + (13/60) = 59° + 0.22 = 59.22°.
The difference of the angles will be:
= 59.22° - 41.75°
= 17.47°
Let the distance between them be represented by c. Therefore, we'll use cosine law to solve the question. This will be:
c² = a² + b² - 2ab cos 17.47°
c² = 20² + 20² - (2 × 20 × 20 × 0.19)
c² = 6.07459
c = 2.47
Learn more about distance on:
brainly.com/question/2854969
Answer:
2(x+10)
Step-by-step explanation:
Well since sum is addition and the number and 10 are the sum, let’s make the “number“ (x) and add em up. 10+x.
Now we gotta double that sum which is basically
2(10+x)
