The length of B'C' in the rectangle A'B'C'D' = 9 units.
<u>Step-by-step explanation</u>:
step 1 :
Draw a rectangle with vertices ABCD in clockwise direction.
where, AB and DC are width of the rectangle ABCD.
AD and BC are length of the rectangle ABCD.
step 2 :
Now,
The length of the rectangle is AD = 5 units and
The width of the rectangle is AB = 3 units.
step 3 :
Draw another rectangle with vertices A'B'C'D' extended from vertices of the previous rectangle ABCD.
step 3 :
The length of the new rectangle is A'D' which is 4 units down from AD.
∴ The length of A'D' = length of AD + 4 units = 5+4 = 9 units
step 4 :
Since B'C' is also the length of the rectangle A'B'C'D', then the measure of B'C' is 9 units.
a straight horizontal line is 180 degrees
box in the middle means that angle is 90 degrees
(s+1) + 90 + (2s-1) = 180
3s + 90 = 180
s = 30
Sorry for the way it came out but the Answer:
2
x
+
5
=
43
∘
3
x
−
10
=
47
∘
Explanation:
A complementary angles means angles that add up to
90
degrees. The two angles given in the question are complementary angles.
So
Our first angle
(
2
x
+
5
)
plus the second angle
(
3
x
−
10
)
is equal to
90
degrees
(
2
x
+
5
)
+
(
3
x
−
10
)
=
90
Now we solve for
x
, first we add up the like terms
2
x
+
3
x
+
5
−
10
=
90
5
x
−
5
=
90
Add
5
to both sides
5
x
=
95
Divide both sides by
5
we get
x
=
19
Now and after we find
x
we substitute it to get our two angles
2
x
+
5
=
2
(
19
)
+
5
=
43
∘
3
x
−
10
=
3
(
19
)
−
10
=
47
∘
Hope it helps :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
- V(x) = x³ - 8x² + 19x - 12
<u>The two of the dimensions given</u>
<u>and the third one is</u>
<u>Multiply the three dimensions to get the volume:</u>
- (x - 1)(x - 3)(x + a) =
- (x² - 4x + 3)(x + a) =
- x³ - 4x² + 3x + ax² - 4ax + 3a =
- x³ - (4 - a)x² + (3 - 4a)x + 3a
Comparing with the given function, we get a = - 4
<u>So the missing dimension is:</u>
