All categories

2 years ago

FGH and HGJ form a linear pair. Find the measurement of the anglesif FGH=11x and HGJ+(6x-7)

Mathematics

1 answer:

horrorfan [7]2 years ago

7 0

The angles are 121 and 59 degrees, respectively

<h3>How to determine the angles?</h3>

The given parameters are:

FGH = 11x

HGJ = 6x - 7

Linear pair angles add up to 180.

So, we have:

11x + 6x - 7 = 180

Evaluate the like terms

17x = 187

Divide both sides by 17

x = 11

Substitute x = 11 in FGH = 11x and HGJ = 6x - 7

FGH = 11 * 11=121

HGJ = 6 * 11 - 7 = 59

Hence, the angles are 121 and 59 degrees, respectively

You might be interested in

Mary stated that 2.01 x 10⁶ is less than 4.8 x 10⁴ because 2.01 is less than 4.8. what was mary's mistake ?

katrin [286]

Answer:

Step-by-step explanation:

Scientific notation is always written as a number between 1 and 9.9999999 repeating. There follows a power of 10. I'm not sure which answer would help you see it clearer but

4.8 * 10^4 the decimal is shifted 4 places the right which is 48000 where you have no numbers, you use zeros.

2.01 * 10^6 means that you shift the decimal 6 places to the right.

2010000

So 2 million is larger than 48 thousand.

The other way to do it is just to look at the power. 6 is more than 4. 6 describes the number of places you move. So does 4. 6>4 so that's the larger number.

4 0

3 years ago

Please helpppppppppp

lyudmila [28]

Answer:

Incorrect

Step-by-step explanation:

The fraction of 6/12 all squared gives 36/144 36/36 and 144/36 reduces to 1/4.

8 0

3 years ago

X-intercept and y-intercepts og y=x^2-3

Rufina [12.5K]

Answer:

Part 1) The y-intercept is the point $(0,-3)$

Part 2) The x-intercepts are the points $(-\sqrt{3},0)\ and\ (\sqrt{3},0)$

Step-by-step explanation:

we have

$y=x^{2}-3$

This is a vertical parabola open upward

step 1

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$y=(0)^{2}-3$

$y=-3$

The y-intercept is the point (0,-3)

step 2

Find the x-intercepts

we know that

The x-intercept is the value of x when the value of y is equal to zero

For y=0

$x^{2}-3=0$

solve for x

Adds 3 both sides

$x^{2}-3+3=0+3$

$x^{2}=3$

take square root both sides

$x=(+/-)\sqrt{3}$

The x-intercepts are the points $(-\sqrt{3},0)\ and\ (\sqrt{3},0)$

3 0

3 years ago

The equation of the graphed line is 2x – 3y = 12.

Viefleur [7K]

Answer:

Step-by-step explanation:

The x-intercept is the x-coordinate of the point on the line that intersects the x-axis. At the x-axis, all y-coordinates are 0. Let y = 0, and solve for x.

2x – 3y = 12

2x - 3(0) = 12

2x = 12

x = 6

6 0

3 years ago

Read 2 more answers

You randomly choose one of the following numbers shown. Find the probability the event can occur choosing a number greater than

sergey [27]

<h3>Answer: 7/11</h3>

======================================================

Explanation:

The event space is the set of outcomes we want to happen.

The event space is {5, 6, 7, 8, 9, 10, 11} which consists of getting a value greater than 4. There are 7 items in this event space. Let A = 7.

The sample space consists of all possible outcomes. The sample space is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} and there are 11 items in the sample space. Let B = 11.

Divide the values of A and B to get the answer we're after

A/B = 7/11

This is the probability of selecting a value greater than 4.

7 0

3 years ago