![\dfrac{25}{10}=2.5\\\\\dfrac{5}{2}=2.5](https://tex.z-dn.net/?f=%5Cdfrac%7B25%7D%7B10%7D%3D2.5%5C%5C%5C%5C%5Cdfrac%7B5%7D%7B2%7D%3D2.5)
OK!
If
![m\angle CBA=m\angle GFE](https://tex.z-dn.net/?f=m%5Cangle%20CBA%3Dm%5Cangle%20GFE)
then ABCD and EFGH are similar.
Answer:
20m
Step-by-step explanation:
5+3+1+7+4=20
9514 1404 393
Answer:
72.5° ≈ 73°
Step-by-step explanation:
The ladder length is the hypotenuse of the right triangle that has the distance from the building as its base and the height up the building as the height of the triangle. The given dimensions are those of the side adjacent to the angle and the hypotenuse.
The appropriate trig relation is ...
Cos = Adjacent/Hypotenuse
cos(angle) = 6/20
The inverse cosine function (arccos) is used to find the angle from its cosine.
angle = arccos(6/20) ≈ 72.54°
The angle is 72.5° rounded to tenths, or 73° rounded to degrees.
Answer:
You will have 128 orange marbles
Step-by-step explanation:
Set this up as an equation
Variable x = number of orange marbles
3/8 = 48/x
Cross multiply
3 × x = 8 × 48
3x = 384
Divide both sides by 3 to isolate the variable
3x ÷ 3 = 384 ÷ 3
1x = 128
x = 128
128 orange marbles
Check work:
Substitute the variable x for the answer
3/8 = 48/128
Cross multiply
3 × 128 = 8 × 48
384 = 384
If the numbers equal, the answer is correct
ANSWER:
The probability is 1/43680
STEP-BY-STEP EXPLANATION:
We have the following:
0. The probability that Morgan is chosen first = 1/16. Now there are 15 students left after this.
,
1. The probability that Harmony is chosen second = 1/15. Now there are 14 students left after this.
,
2. The probability that Kenny is chosen third = 1/14. Now there are 13 students left after this.
,
3. The probability that Ben is chosen fourth = 1/13.
Therefore, the required probability is: