Answer:
20m
Step-by-step explanation:
Answer:
x = -6
Step-by-step explanation:
Here we have an equilateral triangle. All three sides have the same length, 2. Therefore, the interior angles are all equal to 60 degrees.
Therefore, 6 - 9x = 60, and -9x = 54. Dividing both sides by -9 results in
x = -54/9, or x = -6.
Answer:
y = -2x+6
y=8 when x = -1
Step-by-step explanation:
2x + y = 6
Slope intercept form is y = mx+b where m is the slope and y is the intercept
Solve for y
Subtract 2x from each side
y = -2x+6
The slope is -2 and the y intercept is -6
Let x = -1
y = -2(-1) +6
y = 2+6
y=8
(-1,8)
Answer:
One triangle can be constructed
Step-by-step explanation:
I took the test hope this helps
Answer:
Hypothenus = 22
Step-by-step explanation:
From the question given above, we were told that the triangles are congruent (i.e same size). Thus,
AC = EF
BC = DE
To obtain the length of each Hypothenus, we shall determine the value of y and x. This can be obtained as follow:
For y:
AC = y + 3
EF = 2y + 1
AC = EF
y + 3 = 2y + 1
Collect like terms
3 – 1 = 2y – y
2 = y
y = 2
For x:
BC = 5x + 7
DE = 6x + 2y
y = 2
DE = 6x + 2(2)
DE = 6x + 4
BC = DE
5x + 7 = 6x + 4
Collect like terms
7 – 4 = 6x – 5x
3 = x
x = 3
Finally, we shall determine the length of each Hypothenus. This can be obtained as follow:
Hypothenus = BC
Hypothenus = 5x + 7
x = 3
Hypothenus = 5x + 7
Hypothenus = 5(3) + 7
Hypothenus = 15 + 7
Hypothenus = 22
OR
Hypothenus = DE
DE = 6x + 2y
y = 2
x = 3
Hypothenus = 6(3) + 2(2)
Hypothenus = 18 + 4
Hypothenus = 22
