Answer:
(-4, -6)
Step-by-step explanation:
when you reflect a point over the x axis, the only value that changes is the y-axis, or the height of the point. because the original point is at a height of +6, flipping over the x-axis would make it -6
think of it this way:
reflecting across the x-axis creates symmetry, so you pretty much copy the the steps you would do to reach the original coordinate pair but reverse it
so since you go up 6 from the x axis in the original coordinate pair (-4,6), you would go down 6 when reflecting over the x-axis
Answer:
10
Step-by-step explanation:
Hey there! I'm happy to help!
We see that Jack has already run 25 miles.
25
He also wants to run 2.5 miles every day. This means we will multiply 2.5 miles by the number of days he runs. We will call the number of days x.
25+2.5x
And he needs this to equal 275.
25+2.5=275
We subtract 25 from both sides.
2.5x=250
We divide both sides by 2.5
x=100
So, Jack will need to run 100 days to meet his goal.
Have a wonderful day and keep on learning! :D
Answer:
The correct option is
a. Loana established all necessary conditions but then used an inappropriate congruence criterion
Step-by-step explanation:
The two column proof is presented as follows;
Statement 
Reason
1. PQ = RQ = 9 Given
2. m∠O = m∠S = 90° Given
3. m∠PQO = m∠RQS = 63° Given
4. ΔOPQ ≅ ΔSRQ Angle-Side-Angle Congruence
The given parameters shows that the side, adjacent angle, and next adjacent angle of triangle ΔOPQ are congruent to the corresponding side, adjacent angle, and next adjacent angle of triangle ΔSRQ, therefore, the appropriate congruency criterion that shows that ΔOPQ is congruence to ΔSRQ is the Side-Angle-Angle which is the same as the Angle-Angle-Side AAS, congruency criterion
Answer:
No, because the volume of the cone is greater than the volume of the ice cream scoop.
Step-by-step explanation:
To solve this problem we just need to compare the volume of the ice scream scoop with the volume of the ice cream cone.
The ice scream scoop is a sphere with a diameter of 2 inches (so a radius of 1 inch), then the volume is:
V = (4/3) * pi * r^3
V = (4/3) * pi * 1^3
V = 4.1888 in3
Now, to find the volume of the ice cream cone, we just need to use the formula of the cone volume (with radius = 1 inch):
V = (1/3) * pi * r^2 * h
V = (1/3) * pi * 1^2 * 5
V = 5.236 in3
As the volume of the cone is greater than the volume of the ice cream scoop, the ice cream will not spill over the cone after melting.
