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1 year ago

Find the value of X. The diagram is not to scale. Lines F and G are parallel.

Mathematics

1 answer:

sergejj [24]1 year ago

6 0

Step-by-step explanation:

2 × (First Angle + Second Angle) = 360°

5x + 9x + 26 = 360°/2

14x + 26 = 180°

14x = 180 - 26

14x = 154

x = 154/14

x = 11°

The answer is B.

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Roll a standard number cube. Then pick a marble out of a bag.

Masja [62]

Answer:

Step-by-step explanation:

Its C because it doesn't depend on the marbles there to separate picks so neither will affect each other

7 0

3 years ago

Pleas helpppp please

vlada-n [284]

Answer:

48cm^2

Step-by-step explanation:

We are given some of the measurements of the piece of cardboard.

First, let's find the lengths of all the sides of the cardboard, as it will be easier to then find the area.

Going in clockwise order, from top to bottom, the dimensions are:

4cm, 7cm, 6cm, 2cm, 10cm, 9cm.

Now, we can easily find the area by using the formula BH=Area. Let's split the cardboard into sections that will be easier to find the area of. Say we split it in two, rather like a sneaker with the person wearing a sock showing at the ankle (I have strange explanations, I know).

To find the top part (the sock part) we can multiply 4 by 7 to get 28.

To find the shoe part, we can multiply 10 by 2 to get 20.

Finally, add these areas together to get the total area.

20 + 28 = 48

Another way to do this (if my sock and sneaker explanation was too chaotic for you) would be to imagine that the cardboard piece were an entire rectangle (ignore that chunk that has been cut out).

The area of that would be 90, from 9 by 10 as the side lengths. Then, from earlier, we know that the width and length of the chunk that has been cut out is 6 and 7, so the area that will be cut out is 42.

Subtract 42 from 90 to get 48.

8 0

3 years ago

Ben had $100 in his savings account. He adds $5.00 a week to his savings as shown in the graph below. According to this graph, h

bearhunter [10]

Answer:

Option (C)

Step-by-step explanation:

Let the relation between amount of money (m) and Time (t) is represented by the equation,

m = ct + b

Where c = Investment per week

b = Ben already had the amount before investment

From the question,

c = $5 per week

b = $100

Therefore, equation will be,

m = 5t + 100

If duration of the investment 't' = 8 weeks

Amount in the account after 8 weeks,

m = 5(8) + 100

m = $140

Option (C) is the correct option.

3 0

3 years ago

find the zeros of 2x^2 - 16x + 27 using the quadratic formula. be sure to simplify the expression. Can someone please show me ho

____ [38]

For a quadratic of the form $f(x)=ax^2+bx+c$ , we have the quadratic formula
$x=\dfrac{-b \pm \sqrt{b^2 -4ac} }{2a}$ ,
where a is the coefficient (number before the variable) of the squared term, b is the coefficient of the linear term, and c is the constant term.

So, given $2x^2-16x+27=0$ , we can get that $a=2, \ b=-16$ , and $c=27$ . We substitute these numbers into the quadratic formula above.

$x=\dfrac{-(-16) \pm \sqrt{(-16)^2 -4(2)(27)} }{2(2)}$

$x=\dfrac{16 \pm \sqrt{(256 -216)} }{4}$

$x=\dfrac{16 \pm \sqrt{40} }{4}$

$x=\dfrac{16 \pm 2\sqrt{10} }{4}$

$x=4+ \frac{\sqrt{10}}{2}, \ x=4- \frac{\sqrt{10}}{2}$

This is our final answer.

If you've never seen the quadratic formula, you can derive it by completing the square for the general form of a quadratic. Note that the $\pm$ symbol (read: plus or minus) represents the two possible distinct solutions, except for zero under the radical, which gives only one solution.

8 0

4 years ago

use the figure and the given translation vector. then draw the translation of the figure along the translation vector.

Rus_ich [418]

Answer: Here hope this helped

4 0

3 years ago