Answer:
z = 11
Explanation:
5y + 13 = 6y
Subtract 5y by both sides.
13 = y
Next,
z + 22 = 3z
Subtract z by both sides.
22 = 2z
Then, divide both sides by 2.
11 = z
Finally plug those answers into the equations.
5(13) + 13 = 78
6(13) = 78
(11) + 22 = 33
3(11) = 33
So △DEF ≅ △JKI because the value of z = 11.
Answer: the hat= $30. The equation you would use to solve is 2s+h=50
Step-by-step explanation:
2s+h=50
2(10)+h=50
20+h=50
-20. -20
h=30
The two numbers that multiply to 196 and add to -28 are: -14 and -14.
-14 * -14 = 196
-14 + -14 = -28
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be parallel, they have to have the same slope.
y = 6x + 6 The slope of this line is 6, so the parallel line's slope is also 6.
Now that you know m = 6, substitute/plug it into the equation:
y = mx + b Plug in 6 for "m" in the equation
y = 6x + b To find "b", plug in the point (20, 1) into the equation
1 = 6(20) + b
1 = 120 + b Subtract 120 on both sides to get "b" by itself
1 - 120 = 120 - 120 + b
-119 = b Now that you know b = -119, plug it into the equation
y = 6x - 119
Determination is your will power of doing something. Someone who is determined has the firmness of purpose and the resolve to achieve a goal.
Synonyms:
<em>resolution, resolve, resoluteness, character.</em>
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Antonyms:
<em>weak-mindedness, pusillanimity. </em>