"Undefined" slope means the line on the graph is vertical, and that
tells the whole story right there. The 'x' coordinate is the same for
every point on the line. If (6, -1) is a point on the line, then you know
that the x-value of EVERY point on it is 6 .
It's a vertical line that intersects the x-axis at x=6, and the equation
of the line is x=6 .
Answer:
Step-by-step explanation:
You can set this up by reversing it.
(9+4)- (x/2)
(13)-(x/2)
(13)-(2x)
=11x
Answer:
6x214=1284
1284-3 is 1281
Step-by-step explanation:
Let small cups = S
Large cups = L
They bought a total of 8 cups, so S + L = 8
Rewrite as S = 8-L (1st equation)
Then you also have
$3S + $5L = $30 (2nd equation)
Replace the S in the second equation with the first equation:
$3(8-L) + $5L = $30
Simplify:
24 - 3L + 5L = 30
Combine like terms:
24+2L = 30
Subtract 24 from both sides:
2L = 6
Divide both sides by 2:
L = 3
They bought 3 large cups
Since they bought a total of 8 cups, that means they bought 5 small cups ( 8-3=5)
Large = 3 cups, Small = 5 cups
The <u>congruency theorem</u> gives you an opportunity to prove that <u>two triangles</u> are <u>congruent</u>.
Consider triangles WUT and VTU. In these triangles:
- WU≅VT (given);
- ∠T≅∠U, m∠T=m∠U=90° (from the diagram);
- side TU is common.
Note that triangles WUT and VTU are right triangles, because m∠T=m∠U=90°. Side TU is common leg and sides WU and VT are hypotenuses.
HL theorem states: if the hypotenuse (WU) and one leg (TU) of a right triangle (ΔWUT) are congruent to the hypotenuse (VT) and one leg (TU) of another right triangle (ΔVTU), then the triangles are congruent.
Answer: correct choice is B
