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Afina-wow [57]
2 years ago
10

Find the value of x, y and z. Write reasons

Mathematics
2 answers:
WARRIOR [948]2 years ago
7 0

Answer:

z= 115 (vertically opposite angles)

x= 65 (straight angle) 180-115=65

y=65 (vertically opposite angle)

Step-by-step explanation:

Nataliya [291]2 years ago
4 0

Answer:

z = 115

x = 65

y = 65

Step-by-step explanation:

z = 115 (vertically opposite angles)

to find the values of x and y

x = y (vertically opposite angles

115 + x = 180 (linear pair)

x = 180 - 115

x = 65

y = 65

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A large rectangle is made by joining three identical small rectangles as shown.
vampirchik [111]

Answer: 35 cm

Step-by-step explanation:

As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,

The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:

2(length + width) = Perimeter

2(2x + x) = 21

2(3x) = 21

6x = 21

x = 21/6 = 3.5 cm

x = 3.5 cm

From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:

2(length + width) = Perimeter

2(3x + 2x) = Perimeter

Perimeter = 2(5x)

Perimeter = 10x

Perimeter = 10(3.5)

Perimeter = 35 cm

Step-by-step explanation:

3 0
2 years ago
On a coordinate plane, a line is drawn from point K to point J. Point K is at (160, 120) and point J is at (negative 40, 80). Wh
emmainna [20.7K]

The x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J is  (85, 105).

Given

On a coordinate plane, a line is drawn from point K to point J. Point K is at (160, 120) and point J is at (negative 40, 80).

<h3>Coordinates</h3>

The coordinates point any point can be found by using the following formula.

\rm X=\dfrac{m}{m+n}(x_2-x_1)+x_1\\\\ Y=\dfrac{m}{m+n}(y_2-y_1)+y_1

The x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J is;

\rm X=\dfrac{m}{m+n}(x_2-x_1)+x_1\\\\ X = \dfrac{3}{3+5}(-40-160)+160\\\\ X = 3 \times (-25)+160\\\\\X = -75+160\\\\ X = 85\\\\\ Y=\dfrac{m}{m+n}(y_2-y_1)+y_1\\\\ Y=\dfrac{3}{3+5}(80-120)+120\\\\Y =- 3\times 5 +`120\\\\Y=-15+120\\\\Y=105

Hence, the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J is  (85, 105).

To know more about co-ordinates click the link given below.

brainly.com/question/13847533

5 0
2 years ago
HIGHEST COMMON FACTOR OF 102 AND 153 NEED HELP EXPLAIN FOR AN EXTRA 10 POINTS
Lynna [10]

Answer:

The highest common factor for both 102 and 153 is

GCF- 51

Step-by-step explanation:

51*3= 153

51*2=102

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Your answer is d Its on the fourth quadrant! that Is really easy!
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