Step-by-step explanation:
It is an isosceles triangle , it has two equal angles both 55°.
All Isosceles triangles have two equal angles <em>a</em><em>n</em><em>d</em> two equal sides.
So in this case x +18 is equal to 3x, and to find x you will equal them to each other to create a linear equation and solve.
x + 18 = 3x
x - 3x = -18
-2x = -18
× = -18 / -2
× = 9 <em>(</em><em>a</em><em>n</em><em>s</em><em>)</em><em> </em>
Hope I was able to help. Good Luck :)))
Answer:
10
Step-by-step explanation:
14+14+18+18+22=86
6*16=96
96-86=10
Answer:
a
Step-by-step explanation:
9514 1404 393
Answer:
24 cm²
Step-by-step explanation:
To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...
P = 2(AB +BC)
BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm
Then CD is ...
CD = BD -BC = 9 cm -4 cm = 5 cm
The area of the trapezium is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²
The area of trapezium CDEF is 24 cm².
Answer:
<u><em>(-1,1)</em></u>
Step-by-step explanation:
We can solve this by either graphing and finding ther point the lines intersect, or mathematically, I'll do both.
<u>Graphing:</u>
<u>Mathematically:</u>
−2x + 4y = 6
y = 2x + 3
See the attached graph. The lines intersect at (-1,1)
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I'll rearrange the first equation (to make it easier for me):
−2x + 4y = 6
4y = 2x + 6
y = (1/2)x + 1.5
Now lets substitute the second equation into the first so that we can eliminate y:
y = 2x + 3
[(1/2)x + 1.5] = 2x + 3
- (3/2)x = (3/2)
x = -1
If x = -1:
y = 2(-1) + 3
y = 1
The solution is x = -1 and y = 1, or (-1,1)
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Both approaches give us (-1,1), the solution to the system of equations. It is the only point that satisfies both equations.