MATHEMATICS HIGH SCHOOL

The difference of two numbers is 18. The sum of the two numbers is 62. Let x be the greater number,and let y be the lesser number

Answers

Answer 1
Answer:

Answer:

  • x = 40
  • y = 22

Step-by-step explanation:

We know that:

  • x - y = 18
  • x + y = 62

Work:

  • x - y = 18

       x + y = 62

  • => (x + x) + (y - y) = (18 + 62)
  • => 2x + 0 = 80
  • => 2x = 80
  • => x = 40

To find y, let's use any equation in the "we know that" section.

  • => 40 - y = 18
  • => 40 - 18 = y
  • => 22 = y

Now, let's check our work by using the second equation.

Check:

  • x + y = 62
  • => 40 + 22 = 62
  • => 62 = 62 (Proved correct)

Hoped this helped.

BrainiacUser1357

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The measures of exterior angles of a regular polygon with n numbers of sides ____ as n increases
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Mike observed that 75% of the students of a school liked skating. If 35 students of the school did not like skating, the number of students who liked skating was ______. (only put numeric values, no other symbols)

Answers


we are given that 35 students do not like skating and that 75 % of the students like skating otherwise. This means 25 % of the students dont like skating. Hence the total number of students is 35/0.25 equal to 140 students. 75 percent of 140 students is the answer equal to 105 students

A plant has two alleles for color. The red allele is recessive and is represented by q. The purple allele is dominant and is represented by p. If 30 of 100 organisms are red, what is q?p^2+2pq+q^2=1
A. 0.55
B. 0.30
C. 0.49
D. 0.70

Answers

The answer is A. - 0.55

A triangle has two sides of length 18 and 17. What is the smallest possible whole-number length for the third side?

Answers

a, b, c - sides of a triangle

a + b > c

a + c > b

b + c > a

--------------------------

We have a = 18 and b = 17. Substitute:

18 + 17 > c

35 > c → c < 35

--------------------------

18 + c > 17     subtract 18 from both sides

c > -1

--------------------------

17 + c > 18     subtract 17 from both sides

c > 1

--------------------------

c < 35 and c > -1 and c > 1.

Therefore  1 < c < 35

Answer: The smallest possible whole number length of third side is 2.

Final answer:

The smallest possible whole-number length for the third side of a triangle with the other two sides being 18 and 17 is 2, based on the rule that each side of a triangle must be less than the sum and more than the absolute difference of the other two sides.

Explanation:

In the realm of geometry, there is a rule for a triangle that states the length of any side of a triangle must be less than the sum of the lengths of the other two sides, but greater than the absolute difference of those two sides. Given a triangle with two sides of lengths 18 and 17, we apply this rule.

To find the smallest possible whole number length for the third side, we calculate the absolute difference of the existing two sides: |18 - 17| = 1.

But, since we are looking for a whole number, the smallest possible length for the third side cannot be 1, it must be more than 1. Therefore, the smallest possible whole-number length for the third side is 2.

Learn more about Triangle Side Length here:

brainly.com/question/32440372

#SPJ3

10 people meet, and each person shakes every other person's hand once. How many handshakes occurred?

Answers

Answer:

45 handshakes

Step-by-step explanation:

If there are n persons and each person shakes every other person hand once then the total number of handshakes are(n(n-1))/(2)

Now, it has been given that 10 people meet, and each person shakes every other person's hand once.

Therefore, n = 10.

Hence, from the above mentioned formula, we have

Total number of handshakes =

(n(n-1))/(2)

=(10(10-1))/(2)

=(10*9)/(2)

=5*9

=45

Hence, total 45 handshakes were occurred.
45 handshakes would take place! i've attached how i figured this out (pardon the scribbles)

What is r+(−5r) simplified?

Answers

Answer:

-4r

Step-by-step explanation:

in a triangle, the measure of the first angle is twice the measure of the second angle. the measure of the third angle is 92 degrees more than the measure of the second angle. what is the measure of the first angle?

Answers

You need an equation. x is the unknown angle or the second angle. Keep in mind that interior angles of a triangle add up to 180.

First Angle: 2x
Second Angle: x
Third Angle: x+92

2x + x + x + 92 = 180
4x + 92 = 180
     -92      -92
4x = 88
/4      /4
x = 22

First Angle: 2x = 2(22) = 44
Second Angle: x = 22
Third Angle: x+92

The answer is 44 degrees.
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