9514 1404 393
Answer:
a) yes; 12/15/17 ~ 20/25/x; SAS
b) x = 28 1/3
Step-by-step explanation:
The left-side segments are in the ratio ...
top : bottom = 12 : 8 = 3 : 2
The right side segments are in the ratio ...
top : bottom = 15 : 10 = 3 : 2
These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.
Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:
12/15/17 ~ 20/25/x
__
The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:
x = 17/12 · 20 = 340/12
x = 28 1/3
Answer:
6
Step-by-step explanation:
75−3.5y−4y=4y+6
Step 1: Simplify both sides of the equation.
75−3.5y−4y=4y+6
75+−3.5y+−4y=4y+6
(−3.5y+−4y)+(75)=4y+6(Combine Like Terms)
−7.5y+75=4y+6
−7.5y+75=4y+6
Step 2: Subtract 4y from both sides.
−7.5y+75−4y=4y+6−4y
−11.5y+75=6
Step 3: Subtract 75 from both sides.
−11.5y+75−75=6−75
−11.5y=−69
Step 4: Divide both sides by -11.5.
−11.5y
−11.5
=
−69
−11.5
y=6
Hope this helps!
The whole number is 10 the square root is 9
Answer:
(2, - 3 )
Step-by-step explanation:
Given the 2 equations
y = - 3x + 3 → (2)
y = - 9x + 15 → (2)
Substitute y = - 3x + 3 into (2)
- 3x + 3 = - 9x + 15 ( add 9x to both sides )
6x + 3 = 15 ( subtract 3 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
y = - 3(2) + 3 = - 6 + 3 = - 3
solution is (2, - 3 )
Answer:
i feel like its A or D i could be wrong but i believe its one of the two
