Answer:
15.6 ft
Step-by-step explanation:
Since the sails are similar then the ratios of corresponding sides are equal.
Comparing the shortest sides, that is
10 : 6 = 5 : 3
let the longest side be x, then using proportion
= ( cross- multiply )
5x = 78 ( divide both sides by 5 )
x = 15.6
The longest side is 15.6 ft
Answer:
-7/30
Step-by-step explanation:
So you need to make the denominators the same number so that you can just subtract the numerators.
(10) 2/3 - (3) 9/10
20/30 - 27/30
-7/30
Answer:
the y-intercept is (0,-6)
the x-intercept is (8,0)
Step-by-step explanation:
<em>Solving for the y-intercept:</em>
Since the equation 'y=3/4x - 6' is in the 'y=mx + c' form (where m is the slope and c is the y-intercept):
3/4 is m (which is the slope)
-6 is c (which is the y-intercept)
<em>Solving for the x-intercept:</em>
When the line intersects with the x-axis, the y-value is 0. Hence, the coordinate is (x,0). Substituting this into 'y=3/4x - 6':
0 = 3/4x - 6
3/4x - 6 + 6 = 6
3/4x = 6
x = 4/3 * 6
= 8
Hence,
the y-intercept is (0,-6)
the x-intercept is (8,0)
<em>Hope this helps and be sure to have a wonderful time ahead at Brainly! :D</em>
Answer: 8 (The second option).
Step-by-step explanation:
1. To solve this exercise you draw a line to a point O, this lines will bisect the angle of Z∠60°. Then will obtain two into two right triangles with two angles of 30° at the point Z.
2. The lenght XY will be twice the lengt XO or YO.
3. Let's calclate XO as following:
4. Then, XY is:
Answer: Phillip is correct. The triangles are <u>not </u>congruent.
How do we know this? Because triangle ABC has the 15 inch side between the two angles 50 and 60 degrees. The other triangle must have the same set up (just with different letters XYZ). This isn't the case. The 15 inch side for triangle XYZ is between the 50 and 70 degree angle.
This mismatch means we cannot use the "S" in the ASA or AAS simply because we don't have a proper corresponding pair of sides. If we knew AB, BC, XZ or YZ, then we might be able to use ASA or AAS.
At this point, there isn't enough information. So that means John and Mary are incorrect, leaving Phillip to be correct by default.
Note: Phillip may be wrong and the triangles could be congruent, but again, we don't have enough info. If there was an answer choice simply saying "there isn't enough info to say either if the triangles are congruent or not", then this would be the best answer. Unfortunately, it looks like this answer is missing. So what I bolded above is the next best thing.