Let's visualize this problem (See the picture below). The red line represents the diagonal that is 14 cm, the green sides represent the 25-cm sides, and the yellow line represents the diagonal that we need to find. From this, you can see that the Pythagorean Theorem can be applied to this problem (Since the diagonals are perpendicular)
a^2+b^2=c^2
14^2+b^2=25^2
196+b^2=625
b^2=429
b=20.71 (approximate)
:)
Answer:
146
Step-by-step explanation:
To find any y-coordinate of a line, plug in the x-coordinate 50 into the equation and simplify. The result will be y.
Plug in x = 50 into y = 3x - 4.
y = 3(50) - 4
y = 150 -4
y = 146
The y-coordinate is 146.
Answer:
ΔABC ~ ΔDEF
Step-by-step explanation:
If the given triangles ΔABC and ΔDEF are similar,
Their corresponding sides will be proportional.
By substituting the measures of the given sides,
2 = 2 = 2
Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.
ΔABC ~ ΔDEF
We have that
<span>2cscx-3=-5---------> 2cscx=-5+3---------> cscx=-2/2---------> cscx=-1
we know that
csc x=1/sin x
then
1/sin x=-1--------------> sin x=-1
x=arcsin (-1)---------> x=-90</span>°
x=-90°---------------> 360°-90°-----------> x=270°------------> 3pi/2<span>
the answer is
x=3pi/2 radians
</span>
Answer:
It would be (1,6), (-2,3)
x=1, y=6
x=-2, y=3
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.