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Sophie [7]
2 years ago
11

In the figure below angle y and angle x form vertical angles.Angle y forms a straight line with 60° angle and 70° angle right an

d solve an equation determine the measure of angle X

Mathematics
1 answer:
xxMikexx [17]2 years ago
3 0

Answer:

x = 50

Step-by-step explanation:

The angles 70, 60, and y are supplementary, meaning that the sum of them is 180.  Therefore,

70 + 60 + y = 180 and

y = 50

That means that x = 50 as well, since vertical angles are congruent

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What constant do you need to add to each quadratic to complete the square? 1. x2 - 4x = 0 4 2. x2 - 8x = 6 9 3. 3x2 + 18x = 24 1
Radda [10]
1) You must add 4 to each side to complete the square.
2) You must add 16 to each side to complete the square.
3) You must add 27 to each side to complete the square.

Explanation:
1) x²-4x=0
To find the number that we add to both sides, we look at b, the cofficient of x.  It is -4. We divide it by 2 and square it; -4/2 = -2; (-2)² = 4.  This is the value that we add to both sides.

2) x²-8x=6
-8/2 = -4; (-4)²=16
We add 16 to each side to complete the square.

3) 3x²+18x=24
First we can factor a 3 out of the left side:
3(x²+6x) = 24
Our b value is now 6.  6/2 = 3; 3²=9.  The 9 would, however, go in the parentheses, so it would be multiplied by 3, which makes 27; this means we would add 27 to both sides.
6 0
2 years ago
How do I solve this algebra equation X+7=2x-8
ale4655 [162]
You know that we have to simplify the algebra equation, so first you have to combine x and 2x. X + 2x equals to 3x. Now that we combined x and 2x which makes 3x, we have to do 7 and -8. 7 + -8 which equals to -1. Therefore, the answer to this algebra equation is 3x + -1.
5 0
3 years ago
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Hi its my birthday was i correct ? if not please help
s344n2d4d5 [400]
ANSWER: The answer is c) -5 and a very happy birthday to you
7 0
2 years ago
For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp
Scilla [17]

Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

\frac{1}{365}

a) Probability that  exactly 3 people have same birthday = \frac{1}{365^3}

Each day is independent of the other

And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = \frac{1}{365^3}

Expected value of days = np = \frac{1}{365^2}

b) Distinct birthdays is binomail with p =1/365 and n = 365

Hence

expected value = np =1

4 0
3 years ago
A rectangle has a height of 3 cm and width of 5cm. A proportional rectangle has a height of 12cm. What would be the width?
Schach [20]

The ratio will be same

  • Let width be x

\\ \sf\longmapsto \dfrac{3}{5}=\dfrac{12}{x}

\\ \sf\longmapsto 3x=5(12)

\\ \sf\longmapsto 3x=60

\\ \sf\longmapsto x=\dfrac{60}{3}

\\ \sf\longmapsto x=20cm

5 0
2 years ago
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