Answer:
Yes, they will be.
Step-by-step explanation:
Congruent means when they are the same shape and same size.
If triangle ABC is dilated to <u><em>form</em></u> triangle DEF, that means that they will have the same shape and the same size.
So yes Triangles ABC and DEF will be congruent to one another because they will be the same shape, and they will have the same size as well.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
he is currently 34
Step-by-step explanation:
x + 6 = 5(x-26)
x + 6 = 5x - 130
+130 +130
x + 136 = 5x
-x -x
136 = 4x
/4 /4
x = 34
You can check your work as well:
34 + 6 = 40
34 - 26 = 8
8 x 5 = 40
Answer:
2/3
Step-by-step explanation:
Let's define z = x-y, so solving for z will tell us exactly what we want to know. Then we can substitute for x: x = z+y, and our equations become ...
7(z+y)+3y = 8 ⇒ 7z +10y = 8
6(z+y)-3y = 5 ⇒ 6z +3y = 5
We can eliminate the y-variable by subtracting 3 times the first equation from 10 times the second:
10(6z +3y) -3(7z +10y) = 10(5) -3(8)
60z +30y -21z -30y = 50 -24 . . . . eliminate parentheses
39z = 26 . . . . collect terms
z = 26/39 = 2/3 . . . . . divide by the coefficient of z and reduce
The value of x - y is 2/3.
_____
The attached graph shows (x, y) = (1, 1/3), so x - y = 1 - 1/3 = 2/3.
the solutions to a general quadratic equation is
X=-b±√b²-4ac/2a ,, When ax²+bx+c=0
the discriminant is the expression under the radical b²−4ac
Part A:
discriminant is (-16)² - 4(9)(60) = -1904
there are two complex solutions
Part B:
4x² + 8x − 5 = 0
4x² + 10x -2x - 5=0
2x ( 2x + 5) - 1(2 x + 5) =0
(2x + 5)(2x-1) = 0
/ \
/ \
2x+5 = 0 2x-1 =0
x = -5/2 x = 1/2
Answer:
create a circle with the origin as its centre and a radius of the origin and point a then locate a point on a circle that is 90 degrees clockwise from point a.
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