MATHEMATICS
MIDDLE SCHOOL

2.) tan-1 (1)

Answer: Answers:

1) 18° (Nearest degree)

2)45°

1) 18° (Nearest degree)

2)45°

MIDDLE SCHOOL

Find the difference in height between the top of a hill 973 feet high and a crack caused by an earthquake 79 feet below sea level.

Answer:

1052 feet

Step-by-step explanation:

973+|-79|=1052

MIDDLE SCHOOL

Triangle PQR has two known interior angles of 66° and 100°. Triangle RST has two known interior angles of 14° and 100°.

What can be determined about whether triangles PQR and RST are similar?

A. Similarity cannot be determined from the given information.

B. The triangles are similar.

C. The triangles are not similar.

D. All interior angles must be given to determine similarity.

Answer:

B. The triangles are similar.

Step-by-step explanation:

If two triangles are similar, the measures of all 3 angles of one triangle will be congruent to the measures of all 3 angles of the second triangle.

For triangle PQR, the known angles are 66° and 100°. Since the sum of the measures of the angles of a triangle is 180°, this makes the missing angle

180-(66+100) = 180-166 = 14°

For triangle RST, the known angles are 14° and 100°. This makes the missing angle

180-(14+100) = 180-114 = 66°

Since all three angles in PQR are congruent to all three angles in RST, this makes the triangles similar.

The two triangles PQR and triangle RST are congruent, therefore option b is the correct answer that the triangles are similar.

Triangle PQR has two known interior angles of 66° and 100° and Triangle RST has two known interior angles of 14° and 100°.

What are the interior angles?The interior angles are those angles that lie inside the shape. The sum of the interior angles of the triangle is always 180°.

Triangle RST has two known interior angles of 14° and 100°.

here, the third interior angle let's say x

x + 14° + 100°= 180°

x = 66°

Similarly,

Triangle PQR has two known interior angles of 66° and 100°.

the third angle let's say z

So, z + 66° + 100° =180°

z = 14°

Therefore, we can see that the three interior angles of the triangle are the same.

The two triangles are said to be congruent if the measure of all the angles of the triangle is congruent to the measure of all the angles of another triangle.

Hence, The two triangles PQR and triangle RST are congruent, the option b is the correct answer that the triangles are similar.

Learn more about the congruent triangles here:

brainly.com/question/4364353

MIDDLE SCHOOL

Solve 8/t+5 = t-3/t+5 + 1/3

Answer:

Final answer is t=7.

Step-by-step explanation:

Hence final answer is t=7.

HIGH SCHOOL

Kim and kyle are both saving money for their first cars. Their parents said they will add 10% to the amount they save. Save saves $1600 and kyle saves $200 1. How much wilk their parents give them?

Kim: Kyle:

2. What will they have after adding 10%?

Kim: Kyle:

1.

Kim get 160 added to her savings

Kyle gets 20 added to his savings

2.

Kim has 1,760 in her savings

Kyle has 220 in his savings

HIGH SCHOOL

If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by ~p → ~q?a-the original conditional statementb-the inverse of the original conditional statementc-the converse of the original conditional statementd-the contrapositive of the original conditional statement

NOT P → NOT Q is the INVERSE

Answer: B

Given a conditional statement , you have:

- The original statement is
- The inverse statement is the negation of both sides:
- The converse statement switches hypothesis and conclusion:
- The contrapositive statement is switching hypothesis and conclusion, and negating both:

So, in your case, you have the inverse statement.

MIDDLE SCHOOL

What is the MAD of the data set?

{10, 9, 16, 5, 10}

____

The mean absolute deviation is the average distance between each number, and the mean, so the answer is 2.4 Hope this helps.

2.4. is the MAD of the data set. It is quite simple, really. All you must do is add all of them together and divide by 5.

HIGH SCHOOL

When h has the value 5 calculate 6h+9

The answer is 39 because 6 times 5 is 30. 30 plus 9 is 39. :)

39. If H equals 5 you would multiply 6 by 5 and add it by 9 which equals 39.

COLLEGE

Max spent $53 and now has no money left. He had $————— before his purchase

Answer:

53 dollars

Step-by-step explanation:

If he used all 53 dollars at the beginning he now has no money

HIGH SCHOOL

Simplify: (4x2 − 8xy + 2y2) − (9x2 − 4xy − 7y2) (5 points) −5x2 + 4xy + 9y2

−5x2 − 4xy + 9y2

−5x2 + 12xy + 4y2

−5x2 − 4xy − 5y2

Answer:

Here you go

-5x2 − 4xy + 9y2

Hope this helps