Happy New Year from MrBillDoesMath!
Answer:
Proof by ASA congruence postulate. See below
Discussion:
Fact 1 : angle A = angle T (given)
Fact 2: The angles on both sides of point X are equal as vertical angles
are equal.
From these facts it follows that angle M = angle H (as all plane triangles have 180 degrees). Also AM = TH (given) so
In the left triangle In the right triangle
(angle M, side AM, angle A) = (angle H, side TH, angle T)
Hence the triangles have two congruent angles, and congruent sides included between the angles, so they are congruent by ASA.
Thank you,
MrB
Answer:
Questions
What is an amount between $2 and $10? (A) ____$7______
What is an amount between $10 and $20? (B) ____$15______
What is an amount greater than $50? (C) _____$478_____
I will help you on two conditions: 1) that you never again call yourself "stupid," and that you ask no more than 1 or 2 questions per post.
I'll focus on #5. Recall that distance = rate times time: d = r*t.
You want distance and are given rate and time: rate 1.8 km/min; time 48 min.
I see you write "distance" next to "1.8 km;" that is not correct, because
the problem states that "the rate is 1.8 km per minute." 1.8 km is a distance; 1.8 km / min is not (it's a rate).
So, again, to find the distance traveled, mult. the rate by the elapsed time:
distance = (1.8 km/min)(48 min) = 86.4 km, or about 54 miles.
Answer:
38.4
38.4 is 48% of 80
Step-by-step explanation:
What is 48% of 80?
Y is 48% of 80
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 48% * 80
Converting percent to decimal:
p = 48%/100 = 0.48
Y = 0.48 * 80
Y = 38.4
