MATHEMATICS
HIGH SCHOOL

With the compass point halfway between points G and H, open the compass until the pencil point is halfway to G and draw a circle.

With the compass point halfway between points G and H, open the compass until the pencil point is on G and draw a circle.

With the compass point on G, open the compass until the pencil point is on H and draw a circle.

With the compass point on G, open the compass until the pencil point is on the segment, closer to point H than to point G, and draw a circle.

Answer: With the compass point on G, open the compass until the pencil point is on H and draw a circle. Since Lisa is wanting an equilateral triangle, she's going to want draw 2 circles who's radius is the distance between points G and H. The center of one circle will be at G and the other at H. Then she simply needs to draw a line from G to an intersection of the two previously drawn circles and another line from H to the same intersection. With the above description in mind, let's look at the options and see if anything matches. With the compass point halfway between points G and H, open the compass until the pencil point is halfway to G and draw a circle. * This option involves a lot of guess work that can't be accomplished. How does she know a "point halfway between points G and H"? Then how does she open the compass to "halfway to G". So this is a bad choice. With the compass point halfway between points G and H, open the compass until the pencil point is on G and draw a circle. * Move guesswork involved here. So it's a bad choice. With the compass point on G, open the compass until the pencil point is on H and draw a circle. * Nice precise instructions that use known specified points. And it happens to match the drawing of the circles mentioned above in my description. So this is the correct choice. With the compass point on G, open the compass until the pencil point is on the segment, closer to point H than to point G, and draw a circle. * More fuzzy guesswork. So this is a bad choice.

Answer:

Answer: With the compass point on G, open the compass until the pencil point is on H and draw a circle.

Step-by-step explanation:

Given: Lisa is constructing an equilateral triangle. She used a straightedge to draw a segment and labeled the endpoints of the segment G and H.

We know that the equilateral triangle has all the interior angles and sides are equal.

Thus, to construct equilateral triangle from the end point G she need to take measure of the the line segment GH and then make a circle.

Similarly from point H she need to make a circle with the same measurement.

At last join the intersection point of the two circles with G and H.

Hence, the equilateral triangle is formed.

HIGH SCHOOL

At the beginning of the week the balance in your bank account was $298.72. During the week you made a deposit of $425.69. You also made purchases of $29.72, $135.47, and $208.28. When you checked your balance, you saw that the bank deducted a $5.00 service charge from your account. How much is left in your account at the end of the week? A. $52.22 B. $345.94 C. $47.22 D. $350.94

Previous balance = $298.72

Add: deposit = $425.69

= $724.41

Less:

Expences = $29.72

$135.47

$208.28

= $(373.47)

= $350.94

Less: Bank charge = $5.00

Balance: = $345.94

Add: deposit = $425.69

= $724.41

Less:

Expences = $29.72

$135.47

$208.28

= $(373.47)

= $350.94

Less: Bank charge = $5.00

Balance: = $345.94

HIGH SCHOOL

If you were solving a system of equations and you came to a statement like 4 = 4, what do you know about the solution to the system? (1 point) The solution is (4, 4) The solution is x = 4 and y = 4 There is no solution There are infinitely many solutions

Answer:

There are infinitely many solutions.

Step-by-step explanation:

While solving a system of equations, if we get a true statement like 1=1, then there will be "infinitely many solutions" and if we get a false statement like 1=2, then there will be "no solution".

Here the statement is 4=4, which is a true statement.

So, there are infinitely many solutions.

There are infinitely many solutions

MIDDLE SCHOOL

What is y equals 9 x - 5 in standard form

Answer:

-9x+y=-5

Step-by-step explanation:

The orginial problem is written is in y=mx+b form y=9x-5

STANDARD FORM=Ax + By = c

To write it in standard form we need to move the -9x to the left side and the equation would be in standard form.

So, -9x+1y =-5

-9x+1y=-5 is same as -9x+y=-5

MIDDLE SCHOOL

A survey showed that 75% of middle school students have at least one sibling. If Mrs.McCall has a total of 72 students, how many would you expect to have at least one sibling?

54 people have at least one sibling.

steps;

1) figure out what it would be in if a decimal ex; 0.75 (75%) is in the hundredths place.

2) divide 75 by 100.

3) times 0.75 by 72.