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IrinaK [193]
2 years ago
9

Points A, B and C are collinear. Point B is between A and C. Find x if AC=20, BC=x-19 and AB=x+17.

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
4 0

Answer:

11

Step-by-step explanation:

20-[(x-19)+(x+17)]

=20-2x+2

=22-2x

As AB+BC=AC, 22-2x=0.

Thus 2x=22

x=11

it should be right

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Which statements are true about the place values in the number 88.888?
KIM [24]
I believe A and B are the ones. As for explaining? hmm. I would honestly say that any number to the right of a number is a tenth of the place above it. But then again, it's optional to explain ;P
3 0
2 years ago
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A $525 speaker now sells for $393.75. Find the percent of change.
antiseptic1488 [7]

Answer: 25%

Step-by-step explanation:

595 - 393.75 = 131.25

131.25 (amount of change)/ 525 (original amount) x 100%

= 25%

8 0
3 years ago
The perimeter of a rectangular field is 84 yards. The ratio of the length to the width is 2:1. What are the length, width and ar
Ivenika [448]

Given:

  • the perimeter of a rectangular field is 84 yards
  • the ratio of the length to the width is 2:1

To find:

  • the length
  • the width
  • the area

Answer:

Let's assume that the length is 2x and the width is 1x.

We know that the formula to find the perimeter of a rectangle is as follows:

Perimeter = 2 × (Length + Width)

Substituting the values that we have, into the formula above,

84 = 2 × (2x + 1x)

84 = 2 × 3x

84/2 = 3x

42 = 3x

x = 42/3

x = 14

Since we know the value of 'x', let's use it to find the length and the width.

Length = 2x = 2 × 14 = 28

Width = 1x = 1 × 14 = 14

Since we now know the length and the width, let's find the area of the rectangle.

The formula to find the area of a rectangle:

Area = Length × Width

Substituting the values we have into the formula,

Area = 28 × 14

Area = 392

Therefore, the area of the rectangle is 392 square yards.

Hope it helps. :)

4 0
3 years ago
A right rectangular prism is 5 1/4 in. wide, 12 1 2 in. long, and 4 in. tall.
lozanna [386]

Answer: V = 262\frac{1}{2} cm^{3}

Step-by-step explanation:

V = LWH

V = 5\frac{1}{4} X 12\frac{1}{2} X 4

V = \frac{21}{4} X \frac{25}{2} X \frac{4}{1}

V = \frac{525}{2}

V = 262\frac{1}{2} cm^{3}

7 0
3 years ago
Trapezia ABCD and PQRS are similar.<br> Find the area shaded in green.
avanturin [10]

The area shaded in green is 864 cm²

<h3>Similar figures</h3>

Similar figures, corresponding angles are congruent and the sides are ratio of each other. Therefore,

AB / PQ = CD / RS

30 / 10 = 24 / RS

30RS = 240

RS = 240 / 30

RS = 8 cm

let find the height of trapezium PQRS.

AB / PQ  = 36 / h

30 / 10 = 36 / h

30h = 360

h = 360 / 30

h = 12 cm

Therefore,

area of the green portion = area of ABCD - area of PQRS

<h3>Area of a trapezium</h3>
  • area = 1 / 2(a + b)h

Therefore,

area of ABCD = 1 / 2(24 + 30)36 =  1 / 2 (54)36 = 1944 / 2 = 972 cm²

area of PQRS = 1 / 2(10 + 8)12 = 1 / 2(18)12 = 216 / 2 = 108 cm²

Area of the green portion = 972 - 108 = 864 cm²

learn more on trapezium here: brainly.com/question/11961445

6 0
2 years ago
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