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TEA [102]
4 years ago
15

What is the value of x PLEASE HELP

Mathematics
1 answer:
Sindrei [870]4 years ago
5 0

Answer: X= 30

Step-by-step explanation: So I must admit that is a really weird place to put that line, but if this is a complementary angle and the first angle is 30 degrees, then the other angle should be 60 degrees. 60/2 is 30, so therefore x=30

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Two geometry questions in the attached photos - If I have a line, do I have a plane? & If I have three points, do I always h
Radda [10]

Answer:

18) A: only if you have an additional point not on the line.

19) D: No, because all the points may be on the same line.

Step-by-step explanation:

There are basically 4 ways we can determine a plane and they are;

- When we have three non - collinear points: What this means is that if we have three points that are not on one line, then it means that only one particular plane can pass through those points.

- When we have a line and a point that's not on the line

- When we have two lines that intersect each other.

- When we have two lines that are parallel to each other.

From the four conditions above, we can now answer the question;

18) You can only have a plane if there is an additional point not on the line.

Option A

19) Having just three points may not always be sufficient to have a plane because it's possible that the three points may be on the same line which is not a condition for a plane. Thus, option D is correct.

4 0
3 years ago
Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p
nekit [7.7K]

Answer:

Required inequality is 4800+183x>8000.

Step-by-step explanation:

Given that Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a policy she sells is $6,100. Write an inequality to find how many policies Mrs. Robinson must sell to make an annual income of at least $8,000.

Calculation is given by:

Salary per year = $4,800

Average price of a policy = $6,100.

commission on her sales = 3%

Then commission on $6,100 = 3% of $6,100 = 0.03 ($6,100) = $183

Let number of policies Mrs. Robinson must sell to make an annual income of at least $8,000 = x

then total commission on x policies = 183x

Total income using x policies = 4800+183x

Since she wants to make an annual income of at least $8,000. so we can write inequality as:

4800+183x>8000

Hence required inequality is 4800+183x>8000.

5 0
3 years ago
How do I do this? I dont know how to work out his problem
mrs_skeptik [129]

The mom is 36

The twins are 11

1. 58-25= 33

2. 33/3= 11 <----The twins age

3. 11+25= 36 <----The moms age

8 0
3 years ago
No link! Just pls answer
spin [16.1K]

✧・゚: *✧・゚:*  Answer:  *:・゚✧*:・゚✧

✅ A. 120cm ^3

I WOULD APPRICIATE BRAINLIEST!

~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

~

5 0
3 years ago
Read 2 more answers
Determine whether the three points are the vertices of a right triangle. (6, -6), (9, -6), (9, 1)
lisabon 2012 [21]

Answer:

The three given points are the vertices of a right triangle.

Step-by-step explanation:

To determine that the three points are the vertices of a right triangle let us find the distance between each two points

The formula of the distance is d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }

∵ x_{1} = 6 and y_{1} = -6

∵ x_{2} = 9 and y_{2} = -6

∴ d_{1} = \sqrt{(9-6)^{2}+(-6--6)^{2}}=\sqrt{9+0}

∴ d_{1} = 3

∵ x_{1} = 6 and y_{1} = -6

∵ x_{2} = 9 and y_{2} = 1

∴ d_{2} = \sqrt{(9-6)^{2}+(1--6)^{2}}=\sqrt{9+49}

∴ d_{2} = \sqrt{58}

∵ x_{1} = 9 and y_{1} = 1

∵ x_{2} = 9 and y_{2} = -6

∴ d_{3} = \sqrt{(9-9)^{2}+(-6-1)^{2}}=\sqrt{0+49}

∴ d_{3} = 7

<em>Let us use the fact that if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle at the vertex which opposite to the longest side</em>

∵ The longest side is \sqrt{58}

∵ The other two sides are 3 and 7

∵ ( \sqrt{58} )² = 58

∵ (3)² + (7)² = 9 + 49 = 58

∴  ( \sqrt{58} )² = (3)² + (7)²

- By using the fact above

∴ The triangle is a right triangle

The three given points are the vertices of a right triangle.

8 0
4 years ago
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