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2 years ago

What is x=? I got part a but what does x=?

Mathematics

1 answer:

Oksi-84 [34.3K]2 years ago

3 0

Answer:

I think x = 44°

Step-by-step explanation:

Finding the exterior angle:

180° - 45° = 135°

We know that x is multiplied by 3 (3x) so we divide 135 by 3.

135° / 3 = 45°

We know that we have to add 3° to the product of 3x, so we know the product of 3x will be less than 135°. The product should be 135° after 3° is added to it.

Trying a few possible answers:

43° × 3 = 129°

129° + 3° = 132°

That one wasn't quite right.

44° × 3 = 132°

132° + 3° = 135°

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Work out these questions without a calculator and showing all working out

natima [27]

1) 6÷0.2 = 30

If 6/2=3 then 6/0.2=30 as the decimal place shifts one place.

2)8÷0.1 = 80

8/1=8 so shift the decimal place over once to make 80.

3)9÷0.3 = 30

9/3=3 so shift the decimal place over once to get 30.

4)4÷0.04 = 100

4/4=1 so shift the decimal place over twice to get 100.

5)7÷0.002 = 3500

7/2=3.5 so shift the decimal place over three times to get 3500

6)0.718÷0.2 = 3.59

718/2=359 so shift the decimal over three places for the 0.718 and then back over once for the 0.2

7)0.0141÷0.003 = 4.7

141/3=47 so shift the decimal over our times for the 0.0141 and then back over three times for the 0.003

8)0.24÷0.012 = 20

24/12=2 so shift the decimal point over once twice for 0.24 then back over three times for 0.012

9)1.625÷0.0013 = 1250

1625/13=125 so shift the decimal point over three times for the 1.625 and then back four times for the 0.0013

10)47.1÷0.15 = 314

471/15=31.4 so shift the decimal point over once for the 47.1 and then back over twice for the 0.15.

Hope this helps :)

3 0

2 years ago

The points (–2, 4) and (–2, –2) are vertices of a heptagon. Explain how to find the length of the segment formed by these endpoi

Scrat [10]

Answer:

The segment is 6 units long.

Step-by-step explanation:

The points (–2, 4) and (–2, –2) are vertices of a heptagon. We have to explain how to find the length of the segment formed by these endpoints.

If two points at the ends of a straight line PQ are P( $x_{1},y_{1}$ ) and Q( $x_{2},y_{2}$ ), then the length of the segment PQ will be given by the formula

$\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}$

Now, in our case the two points are (-2,4) and (-2,-2) and the length of the segment will be

$\sqrt{(- 2 - (- 2))^{2} + (4 - (- 2))^{2}} = 6$ units. (Answer)

5 0

3 years ago

Read 2 more answers

For each value of y, determine whether it is a solution to -2y+75-5.<br> Is it a solution?

ser-zykov [4K]

Answer:

• No

• Yes

• No

Step-by-step explanation:

To determine if the 4 given values of y are solutions to the inequality, start by solving the inequality. Solving an inequality is just like that of an equation, except that the direction of the sign changes when the inequality is divided by a negative number.

-2y +7≤ -5

Subtract 7 on both sides:

-2y≤ -5 -7

-2y≤ -12

Divide by -2 on both sides:

y≥ 6

This means that the solution can be 6 or greater than 6.

-10 and 3 are smaller than 6 and are not a solutions, while 7 and 6 satisfies the inequality and are therefore solutions.

_______

Alternatively, we can also substitute each value of y into the inequality and check if the value is less than or equal to -5.

Here's an example to check if -10 is a solution.

-2y +7≤ -5

When y= -10,

-2y +7

= -2(-10) +7

= 20 +7

= 27

Since 27 is greater than 5, it is <u>not</u> a solution to the inequality.

3 0

2 years ago

In triangle ABC above, AD is perpendicular to CB. If the lengths of AD and CB were both increased by 50%, how would the area of

astra-53 [7]

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene triangle, equilateral triangle, isosceles triangle.

The area of a triangle is given as:

A = (1/2) * b * h

where b = base of triangle, h = height of triangle , A = area

Let BC = base = x, and AD = height = y, hence:

A = (1/2) * x * y = 0.5xy

If the lengths of AD and CB were both increased by 50%, hence:

new AD = y + 0.5y = 1.5y, new CB = x + 0.5x = 1.5x

The new area= (1/2) * 1.5y * 1.5x = 1.125xy

Increased area / area = 1.125xy / 0.5xy = 2.25

If the lengths are increased by 50%, the area would also increase and the new area would be 2.25 times

3 0

2 years ago

Solve 765/14 and write your answer in terms of a mixed number (please use this format: 75 3/5). *

polet [3.4K]

Answer:

The answer is 54 9/14

Step-by-step explanation:

what u do is this

#1. 765 divided by 14 which equals 54.64285714. Don't worry about the numbers after the decimal.

Then u do 65-54= 9 so u have 54 9/14

to check yourself just do 14 times 54= 756 + 9 = 765

6 0

2 years ago