Answer:
x = 2.4
y = 31
Step-by-step explanation:
Angle B = 25x
BC = 31
therefore , this is an equilateral triangle all sides and angles are equal,
25x =60
x = 2.4
BC = BA = AC
y= 31
Answer:

Step-by-step explanation:
(Let the point where the altitude from
intersects
be called as point
.) First, let's find the area of parallelogram
. The area of a parallelogram is simply
, where
is the parallelogram's base and
is the parallelogram's height. If we let
and
be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram
will be
.
Now, how does this information matter, you might ask? Well, we can take either
<em>or </em>
to be the base and either
or
to be the height. In this case, let's take the latter two options, as we are looking to find the length of
.
Therefore, we know that the area of parallelogram
can also be found by calculating
. Since we know the values of the area and
, we can write the following equation to solve for
:

(Substitute
and
into the equation)
(Divide both sides of the equation by
to get rid of
's coefficient)
(Simplify)
(Symmetric Property of Equality)
Hope this helps!
Answer:
A) 14
Step-by-step explanation:
Take the width: 6 and multiply it 3 times because it says triple.
That gives you: 6 * 3 = 18
Then subtract 4 because it says four inches less than.
That gives you: 18 - 4 = 14
We are given statement " gained 20 pounds and loses 15 pounds".
<em>Note: We take plus or positive sign for gain word and we take minus or negative sign for the loses word.</em>
Gained 20 means +20.
Loses 15 mean -15.
Therefore, we can setup an expression as:
<h3>+20 -15.</h3>
20 is a positive number and 15 is a negative number.
Because we have opposite signs of numbers, we would subtract them.
20-15 = 5 pounds.