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Anvisha [2.4K]
3 years ago
15

Two lines intersect parallel lines m and n as shown. What is the value of x? A)24 B) 48 C)60 D) 66

Mathematics
1 answer:
Fiesta28 [93]3 years ago
4 0

Answer:

C. 60

Step-by-step explanation:

48+72=120

x=180-120

x=60

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Sanji has a square room with a perimeter of 42.5 feet. If she wants to hang a curtain along one full side of the room, how long
Alexeev081 [22]

Answer:

The length of the curtain is 10.625 feet

Step-by-step explanation:

The length of the curtain to cover one side of the room depends on the shape of the room

Given a room shape of a square, we have;

Perimeter = 4 × Side length of the room

Length of the curtain = Side length of the room

Therefore;

Perimeter = 4 × Length of the curtain

42.5 feet = 4 × Length of the curtain

Length of the curtain = (42.5 feet)/4 = 10.625 feet

The length of the curtain = 10.625 feet.

8 0
3 years ago
(5 - 7i)(8 + i)
docker41 [41]

Answer:

(5 - 7i)(8 + i)

F) 40 - 561

H) 37 - 371

K) -16 - 2i

G) -33 - 61i

J) 47 - 51i

- 9 below

Step-by-step explanation:

7 0
2 years ago
What is “ f(x) = 2x^2- 32x” in standard form if it has one?
kap26 [50]
Most textbooks interpret standard form of a quadratic function to be as follows:

f(x) = a x^{2}  + bx + c

In the function f(x) = 2 x^{2}  - 32x , notice we do not have a value for "c". Just place a "0" in for the c and you have standard form.

the criteria for standard form:
1. All like terms are combined
2. Degree must drop from left to right
3. The leading coefficient cannot be equal to zero.
6 0
3 years ago
I am confused about how to do this problem and I don't think it should be hard, but I just don't know how to approach it, so if
solniwko [45]

Answer:

a) (0.555, 0) and (6, 0)

b) r = -3 and r = 1.8

c) (0.875, 0.676)

d) (0, 1.235)

Step-by-step explanation:

Set each term in the numerator and denominator equal to 0 and find r.

In the numerator:

r = 7/8, 5/9, or 6

In the denominator:

r = 9/5, 7/8, or -3

Zeros in the numerator that aren't in the denominator are r-intercepts.

Zeros in the denominator that aren't in the numerator are vertical asymptotes.

Zeros in both the numerator and the denominator are holes.

a) (0.555, 0) and (6, 0)

b) r = -3 and r = 1.8

c) Evaluate m(r) at r = 7/8.  To do that, first divide out the common term (-8r + 7) from the numerator and denominator.

m(r) = (-9r+5)² (r−6)² / ( (-5r+9)² (r+3)² )

m(⅞) = (-9×⅞+5)² (⅞−6)² / ( (-5×⅞+9)² (⅞+3)² )

m(⅞) = (-23/8)² (-41/8)² / ( (37/8)² (31/8)² )

m(⅞) = (-23)² (-41)² / ( (37)² (31)² )

m(⅞) = 0.676

The hole is at (0.875, 0.676).

d) Evaluate m(r) at r = 0.

m(0) = (-9×0+5)² (0−6)² / ( (-5×0+9)² (0+3)² )

m(0) = (5)² (-6)² / ( (9)² (3)² )

m(0) = 1.235

The m(r)-intercept is (0, 1.235).

5 0
3 years ago
What is the Axis of Symmetry in Parabolas?
Gnesinka [82]
The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y = ax 2 + bx + c, the axis of symmetry is a vertical line.
3 0
3 years ago
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