Answer:
18.8 feet
Step-by-step explanation:
\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{5.4}
tanM=
adjacent
opposite
=
5.4
x
\tan 74=\frac{x}{5.4}
tan74=
5.4
x
5.4\tan 74=x
5.4tan74=x
Cross multiply.
x=18.832\approx \mathbf{18.8}\text{ feet}
x=18.832≈18.8 feet
Type into calculator and roundto the nearest tenth of a foot.
M
N
O
5.4
18.8
(adjacent to ∠M)
(opp. of ∠M)
(hypotenuse)
74°
Answer:
x=3
y=-1
Step-by-step explanation:
x=4+y
by substitution it in equation 1
weget
(4+y)+y=2
4+2y=2
y=-1
x=3
Answer:C
Step-by-step explanation:
A.B.C+A.B'.C+A'.B.C+A.B.C'
By distributive law : A.B.C+A.B.C' = A.B(C+C')
By complement law: C+C'=1, so
A.B(C+C')=A.B
Therefore the answer will be A.B'.C+A'.B.C+A.B
The correct answer is number three, or number C however you like to state it
Answer:
The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21
Step-by-step explanation:
- In the parallelogram, every two opposite sides are equal in lengths
In the given figure
If DEFG is a parallelogram, then DE = GF and DG = EF
∵ DE = GF
∵ DE = 6x - 12 and GF = 2x + 36
→ Equate them
∴ 6x - 12 = 2x + 36
→ Subtract 2x from both sides
∵ 6x - 2x - 12 = 2x - 2x + 36
∴ 4x - 12 = 36
→ Add 12 to both sides
∵ 4x - 12 + 12 = 36 + 12
∴ 4x = 48
→ Divide both sides by 4
∴ x = 12
∵ DG = EF
∵ DG = 6y - 42 and EF = 4y
→ Equate them
∴ 6y - 42 = 4y
→ Add 42 to both sides
∵ 6y - 42 + 42 = 4y + 42
∴ 6y = 4y + 42
→ Subtract 4y from both sides
∵ 6y - 4y = 4y - 4y + 42
∴ 2y = 42
→ Divide both sides by 2
∴ y = 21
∴ The values of x and y that make the quadrilateral is a parallelogram are
x = 12 and y = 21
