<span>#1 is C
</span><span>#2 is B
</span>3a is On the circle
<span>3b is inside
</span><span>3d is on
</span><span>3e is outside
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<span>4a is "You can find if a triangle is right by using the Pythagorean theorem or by using perpendicular lines"
</span><span>4b): Using the Pythagorean Side AC (which is √10 units long)^2 + side AB (which is √40 units long)^2 is equal to 50 (which is the length of side BC). Using perpendicular lines, you find that line AB has a slope of 1/3 and side AC has a slope of -3. Since these two are opposite reciprocals, they are perpendicular, which means that they form a 90 degree angle.
</span><span>5.) To find the midpoint, use the formula (x2+x1/2,y2+y1/2) by using the given coordinates, we find that the midpoint is (1,-2). This point lies in quadrant IV, so it is proven that it's midpoint lies in quadrant IV.
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:)
When you add the two angles together, they should equal 90 degrees (according to the square marker). So, all you have to do is add the two angles together, make them equal to 90, and solve for x.
2x+8+5x-2=90
7x+6=90
7x=84
x=12
Now, we substitute x and solve for the angles.
2x+8
2(12)+8
32 degrees
5x-2
5(12)-2
58 degrees
To double check our answer, we can add the two angles together and see if we get 90.
32+58=90 yes
Our answer is correct
The answer is 108' because if you add 35+1 all you have to do is multiply that times 3 which is 36'×3=108'
In the given problem the best hint that is given for getting to the answer is that Evan's family drove at the same speed each day.
Then
On the first day the speed of the car = Distance/time
= 300/6
= 50 miles/hour
Then for calculating the distance traveled on the third day = speed * time
= 50 * 3
= 150 miles
Then on the third day they arrived at the park by driving 150 miles in 3 hours. So the correct option is option "C".
First find how many feet are there in a yard
3 ft in a yard
then divide
42/3= 14
So 14 yards is your answer
