Answer:
1) ASA
2) none
3) ASA
Step-by-step explanation:
In the first picture we have two angles and one included side of one triangle is congruent to corresponding two angles and one included side of another triangle, therefore by ASA postulate of congruence both triangles are congruent.
In the second picture , the two have two equal angles, the third angle of both triangles by using angle sum property =,
Now, two corresponding angles and one included side (10 units) of both triangles are congruent therefore by ASA postulate of congruence both triangles are congruent.
In the third picture, we have two triangle with one same vertex, then their vertical angles must be congruent.
Thus, in third picture, two angles and one included side of one triangle is congruent to corresponding two angles and one included side of another triangle, therefore by ASA postulate of congruence both triangles are congruent.
Answer:
37.5 miles per hour
Step-by-step explanation:
The traffic along a stretch road moves at an average speed that carried inversely as the number of cars
Average speed= k/number of cars.
When there are 1,500 cars the average speed is 45
The first step is to calculate the constant k
45= k/1500
k = 1,500 × 45
k= 67,500
Therefore the average speed when there are 1,800 cars can be calculated as follows
Average speed= 67,500/1,800
= 37.5 miles per hour
Hence the average speed is 37.5 moles per hour
You just need to do 12 1/5 ÷ 1 4/5.
To do this, first convert both fractions to improper fractions or topheavy fractions.
12 1/5 -
15 × 5 is 60, 60 + 1 is 61 so 12 1/5 = 61/5
1 4/5 -
1 × 5 is 5 and 5 + 4 is 9. 1 4/5 = 9/5
To divide fractions, you do keep, chang, flip (keep the 1st fraction, change the ÷ to ×, and flip the 2nd fraction)
the question starts as 61/5 ÷ 9/5 and becomes 61/5 × 5/9
multiplication in fractions is literally just numerator × numerator / denominator × denominator.
61 × 5 is 305. 5 × 9 is 45. the fraction is 305/45.
however, we need a whole number. 305/45 converted into a decimal is 6.7777778 (6.7 recurring). obviously you can't put a fraction of a book onto a shelt, so you round it down to the nearest whole number, which is 6.
final answer: 6
steps)7-2n=3
then you move the constant to tge right hand side and change its sign
-2n=3-7
then
calculate the difference
-2n=3-7
-2n= -4
Divide both sides
n=2
Answer:
You first work out the radius, as below:
Area = pi x radius^2
=> radius = sqrt(Area/pi)
Then, you find out circumference C.
=> C = 2 x pi x radius
Hope this helps!
:)
