Clue one tells you it ends in a 4 or 9.
Clue two tells you it has to be 9.
Clue three tells you x + 9 = 10
The number is 19
Triangles ABC and DEF are similar, which means corresponding sides occur in ratios with one another. Mathematically, this means
![\dfrac ad=\dfrac be=\dfrac cf](https://tex.z-dn.net/?f=%5Cdfrac%20ad%3D%5Cdfrac%20be%3D%5Cdfrac%20cf)
Also, corresponding angles are congruent. These are A and D, B and E, C and F.
As an example, for 21, the above equation turns into
![\dfrac a5=\dfrac b4=\dfrac{11}6](https://tex.z-dn.net/?f=%5Cdfrac%20a5%3D%5Cdfrac%20b4%3D%5Cdfrac%7B11%7D6)
and you can solve for
and
directly:
![\dfrac a5=\dfrac{11}6\implies6a=55\implies a=\dfrac{55}6](https://tex.z-dn.net/?f=%5Cdfrac%20a5%3D%5Cdfrac%7B11%7D6%5Cimplies6a%3D55%5Cimplies%20a%3D%5Cdfrac%7B55%7D6)
![\dfrac b4=\dfrac{11}6\implies6b=44\implies a=\dfrac{44}6=\dfrac{22}3](https://tex.z-dn.net/?f=%5Cdfrac%20b4%3D%5Cdfrac%7B11%7D6%5Cimplies6b%3D44%5Cimplies%20a%3D%5Cdfrac%7B44%7D6%3D%5Cdfrac%7B22%7D3)
The others are solved exactly the same way. In each case, you happen to be given all the side lengths for one of the triangles, and one of the side lengths for the other triangle. So all you need to do is plug in what you know and solve for the remaining two sides.
Answer:
it's.. parallelogram..
Step-by-step explanation:
mark me brainliest
Answer:
Equivalent ratio states that the two ratios express the same relationship between the numbers.
As per the given statement:
There are 12 snowflakes and 18 snowmen.
⇒ Number of snowflakes = 12 and
Number of snowmen = 18
By definition of equivalent ratio:
![\frac{\text{Number of snowmen}}{\text{Number of snowflakes}} = \frac{18}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BNumber%20of%20snowmen%7D%7D%7B%5Ctext%7BNumber%20of%20snowflakes%7D%7D%20%3D%20%5Cfrac%7B18%7D%7B12%7D)
divide both numerator and denominator by 6 we get;
⇒ ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
or we can write this as:
3 : 2
Therefore, the equivalent ratio of snowmen and snowflakes in simplest form using a colon is; 3 : 2
Answer:
No, he would not be able to reach the town in 4 hours with two 10 minutes stops and same speed
Completed question;
Max travels to see his brother's family by car. He drives 216 miles in 4 hours. What is his rate in miles per hour? Suppose he makes two stops of 10 minutes each during his journey. Will he be able to reach the town in 4 hours if he keeps the speed the same?
Step-by-step explanation:
Average speed = total distance travelled/time taken
Given;
Total distance travelled= 216 miles
Total time taken = 4 hours
Average speed v = 216/4 = 54 miles per hour
v = 54 mph
Suppose he makes two stops of 10 minutes each during his journey.
Total time on stops = 2 × 10 = 20 minutes = 0.33 hours
Total time spent on motion = 4 - 0.33 hours = 3.67 hours
Total distance covered in 4 hours with two stops;
d = 3.67 × 54 mph = 198.18 miles
Since d < 216 miles
No, he would not be able to reach the town in 4 hours with two 10 minutes stops and same speed