<h3>
Answer: B) Linear pair postulate</h3>
Explanation:
As the name implies, "linear pair" means the two angles combine to form a straight line of 180 degrees. Think of gluing the angles together.
As an example, let's say angle 1 was 50 degrees and angle 4 is 130 degrees. They combine to 50+130 = 180 which is a straight angle. I recommend using a protractor to help draw these angles.
31.5
because 3 gallons are lost per minute so 3 x 10.5= 31.5
By the way, Google has a built in calculator. You can just type in "321.5 kmph in mph" and it will come up with this answer.
You could also use the fact that
,
According to the properties of equality, if you have two equal expressions and you change them in the same way, the results wil also be equal.
So that means we can multiply each side by 321.5 and get our answer above.
4) 2 1/4 - 1 2/3
8/4 - 5/3
24/12 - 20/12= 4/12
simplify: 1/3
5) 2.951+2.3+1.24= 6.491
Answer:
Step-by-step explanation:
<u><em>The complete question is:</em></u>
In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of circle V. Circle V is shown. Line segments W V, X V, Z V, and Y V are radii. Lines are drawn from point W to point X and from point Z to point Y to form secants. Point U is on the circle between points W and X. What is the measure of Arc W U X in circle V?
The picture of the question in the attached figure
step 1
Find the measure of angle XWV
we know that
The triangle VWX is an isosceles triangle, because has two equal sides (VX=VW)
we have
so
Remember that an isosceles triangle has two equal interior angles
so
step 2
Find the measure of angle WVX
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
substitute the given values
step 3
Find the measure of arc WUX
we know that
----> by central angle
we have
therefore