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qaws [65]
2 years ago
15

Determine the value of x in the diagram. x 2x 2x

Mathematics
1 answer:
ryzh [129]2 years ago
5 0

Answer:

x = 60

Step-by-step explanation:

The sum of exterior angles in a rectangle is equal to 360

so to find the value of x we need to use all given values and write an equation:

x + 2x + x + 2x = 360 add like terms

6x = 360 divide both sides by 6

x = 60

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Tom gets a bonus of 30% of £96
Alchen [17]

Answer:

The difference between their bonus is £2.60

Step-by-step explanation:

The bonus Tom receives is 30% of £96

Tom's bonus

=  \frac{30}{100}  \times 96

= 28.8

So the bonus Tom received is £28.8

From the question, Sally gets a bonus of £31.40

We need to find the difference between the bonus Tom gets and the bonus Sally gets.

This given by:

£31.40 -£28.8=£2.60

6 0
3 years ago
What relationship is formed by a line of symmetry and the line between opposite points in the symmetry
Anettt [7]

Answer:

  • <em>A line of symmetry and the line between opposite points in the symmetry</em><em> are </em><u>perpendicular to each other. </u>

Explanation:

A line of simmetry splits the figure into two identical halves.

Suppose you have a symmetrical plane figure (like a square or a circle), the line of symmetry divides such figure in two sides: call them the left side and the right side.

The reflection of each point on the right side is a point on the left side along the perpendicular line that joins the two points and the line of symmetry.

For instance, if the line of symmetry is vertical, such as the x-axis, the line between the opposite points in the symmetry is horizontal, i.e. perpendicular to the x-axis (the line of summetry).

6 0
3 years ago
chris runs 2.3 miles every day of the week, except sunday. on sunday he only runs 2 miles. how many miles will he run in 2 weeks
Ludmilka [50]

Answer:

He will run 31.6 miles in two weeks.

Step-by-step explanation:

6 days a week = 2.3 miles

6 days · 2 weeks = 12 days total running 2.3 miles

1 day a week = 2 miles

1 day · 2 weeks = 2 days total running 2 miles

(12 · 2.3) + (2 · 2)

27.6 + 4

31.6 miles

7 0
3 years ago
What is the solution of each equation 4z=20: z=5 z=2 z=7 z=6
uysha [10]

Answer:

43/6=z

Step-by-step explanation:

6 0
3 years ago
Evaluate when x = 2<br> -X2 + 5x - 7
Rufina [12.5K]

Answer:

Step-by-step explanation:

f(x)=x²-5x+7

f(2)=2²-5.2+7=4-10+7=11-10=1

f(-1)=(-1)²-5.(-1)+7=1+5+7=13

f(1/3)=(1/3)²-5(1/3)+7=1/9-5/3+7=49/9

∴, f(2)-f(-1)+f(1/3)

=1-13+49/9

=58/9-13

=-59/9

mark be brainlest plss

6 0
3 years ago
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