Answer:
x = 21
Step-by-step explanation:
By the corresponding angle theorem, we can find that the measure of the smaller angle made by transversal and m is 54°.
Using the vertical angle theorem, we can find that the missing angle is the triangle, the two known angles are 4x and 2x, is also 54°.
Since the sum of the interior angles of a triangle is always equal to 180°, we can make the equation:
2x + 4x + 54 = 180
Now we solve for x. Subtract 54 from both sides and combine like terms.
6x = 126
Divide both sides by 6.
x = 21
and now we have found the value of x. x = 21.
I hope you find my answer and explanation to be helpful. Happy studying.
The answer is 55.8 do 90/100 then multiply by 62
X²+2x+3=(x²+2x+1)+2=(x+1)²+2
the graph of x²+2x+3 has a vertex at (-1,2), a symmetry line x=-1, go through the y axis at (0, 3), opening upward above y=2
Step-by-step explanation:
With this question ,
The length of the rectangle is 3m longer than it's width=3 +w
then the width =w
therefore perimeter= 2L +2w
34= 2(3+w) +2w
34= 6+2w +2w
34-6 = 4w
28=4w
7= w
Area= Length x breadth
Area = (7+3) x7
Area= 10 x7
Area= 70cm square
Answer:
x = 1
Step-by-step explanation:
11 = 7 + 4x
Subtract 7 from both sides
11-7 = 7-7 + 4x
4 = 4x
Divide 4 from both sides
4/4 = 4x/4
1 = x
x = 1
Check:
11 = 7 +4(1)
11 = 7+4
11 = 11
Hope this helps. Have a nice day.