Answer:
1/2
Step-by-step explanation:
Answer:
By exterior angle theorem, we have;
∠DBE = ∠H + ∠HEB = ∠ECD = ∠H + ∠HDC
∴ ∠H + ∠HEB = ∠H + ∠HDC
By addition property of equality, we have
∠HEB = ∠HDC
∠H = ∠H by reflexive property
∴ ΔHCD ~ ΔHEB by Angle Angle AA similarity postulate
∴ HE/HD = EB/DC, by the definition of similarity
Therefore, by cross multiplication, we have;
HE × DC = EB × HD
Therefore, by commutative property of multiplication, we have;
HE × DC = HD × EB
Step-by-step explanation:
The perimeter p of the rectangle with length l and width w is:
p = 2l + 2w
that is, two times its length and two times its width, lets solve for the width w and substitute known data:
<span>p = 2l + 2w
</span>2w = p - 2l
w = (<span>p - 2l</span>)/2
w = (56 - (2*12))/2
w = (56 - 24)/2
w = 32/2
w = 16
therefore the width of the rectangle is 16 in
Option C:
5, 1, 7
Solution:
Given equation:
y = |3x + 1|
In the chart, x values are given as –2, 0, 2.
To find the value of y for the corresponding x given.
Substitute x = –2 in the equation of y.
y = |3(–2) + 1|
= |–6 + 1|
= |–5| (Absolute value of a negative number is positive)
y = 5
Substitute x = 0 in the equation of y.
y = |3(0) + 1|
= |0 + 1|
= |1|
y = 1
Substitute x = 2 in the equation of y.
y = |3(2) + 1|
= |6 + 1|
= |7| (Absolute value of a negative number is positive)
y = 7
Option C is the correct answer.
The values of y are 5, 1, 7.
The answer image of the table is attached below.