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3 years ago

Which statement is true about angles 3 and 6?

Mathematics

2 answers:

Marrrta [24]3 years ago

6 0

Answer: Vertical angles.

Step-by-step explanation:

Rzqust [24]3 years ago

4 0

Answer:

The correct option is 4. The angle 3 and 6 are vertical angles.

Step-by-step explanation:

Two angles are called adjacent angles if they have a common side.

Two angles are called complementary angles if their sum is 90 degree.

Two angles are called supplementary angles if their sum is 180 degree.

If two lines intersect each other, then their opposite angles are known as vertical angles and vertical angles are always congruent.

From the given figure it is noticed that angle 3 and 6 are vertical angles because these are opposite angles of intersection of two lines. Therefore option 4 is correct.

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can anyone help me with these? I'm having a lot of trouble and I'm extremely behind... I need to catch up badly!!! i have been a

TiliK225 [7]

Answer:

Step-by-step explanation:

5 and 6 are the same, so I will do one of those and you can use the example to do the other one.

Slope-intercept form is y = mx + b. If we have 2 points and nothing else, we can use those 2 points in the slope formula to find the slope (the m value in the equation) and then plug that in with either one of the points to get the equation. The slope formula is:

$m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

Using our points in question 5: (2, 4) (5, 4)

$m=\frac{4-4}{5-2} =\frac{0}{3}=0$ So m = 0. Now pick a point and use it in the equation along with the m value to solve for b. I will use (2, 4):

4 = 0(2)+b and

4 = 0 + b so

b = 4.

Now we have m = 0 and b = 4 so we fill in the equation with that info:

y = 0x + 4 or simplifying,

y = 4

For question 7 they want the line parallel to y = 3x + 6 that goes through (-10, 2.5). For a line to be parallel to another line, their slopes have to be identical. The slope in y = 3x + 6 is 3. So the slope of the "new" line is going to be 3 as well. Now we will use that slope and the given point to solve for b, just like in #5:

2.5 = 3(-10) + b and

2.5 = -30 + b so

b = 32.5

Now we will fill in:

y = 3x + 32.5

For question 8 they want the line perpendicular to y = -4x - 2 that goes through (-16, -11). For a line to be perpendicular to another line, their slopes have to be opposite reciprocals. Opposite meaning the sign is opposite (positive becomes negative and negative becomes positive), and reciprocal meaning the fraction is flipped upside down. The slope in our line is -4. That means that the perpendicular slope is positive 1/4. Using that along with our point, we will again solve for b:

$-11=\frac{1}{4}(-16)+b$ which simplifies to

-11 = -4 + b so

b = -7

Now we fill in:

$y=\frac{1}{4}x-7$

For question 8, in order to find the line parallel to the given line, you need to know the slope. In the form it is currently in, we do not know the slope. We need to put it into slope-intercept form to find the slope, then we will proceeed as above. If

x + 4y = 6, then

4y = -x + 6 and, dividing by 4,

$y=-\frac{1}{4}x+\frac{3}{2}$

(The 3/2 is reduced from 6/4)

Now we can see the slope is -1/4. We use that along with the point (-8, 5) to solve for b:

$5=(-\frac{1}{4})(-8)+b$ which simplifies to

5 = 2 + b so

b = 3

Now we fill in, keeping in mind that lines are parallel when they have the exact same slope:

$y=-\frac{1}{4}x+3$

6 0

3 years ago

The diameter of a circle is 6 centimeters. What is the circle's area?<br><br> Use 3.14 for pi

Lynna [10]

Step-by-step explanation:

diameter=

$2 \times\pi \times r = 6 \\ r = \frac{6}{2 \times 3.14} = 0.955 \\ area = \pi \times {r}^{2} = 3.14 \times {0.955}^{2} \\ = 2.87\: {cm}^{2}$

7 0

3 years ago

Read 2 more answers

A crate of pears that usually costs $50 is on sale for 10% off. What is the sale price for the crate of pears?

lorasvet [3.4K]

Answer:5
Explaining:
10% of 50
= 10%=10/100 = 0.1
= 0.1 (x) times 50
= 5

3 0

2 years ago

Find two positive integers such that the sum of the first number and four times the second number is 1000, and the product of th

vladimir2022 [97]

Answer:

The two numbers are:

x = 500

y = 125

Step-by-step explanation:

We want to find two numbers x and y, such that:

x + 4*y = 1000

f(x, y) = x*y is maximum.

From the first equation, we can isolate one of the variables to get

x = 1000 - 4y

now we can replace it in f(x, y):

x*y = (1000 - 4*y)*y = 1000*y - 4*y^2

So now we want to maximize the function:

f(y) =- 4*y^2 + 1000*y

where y must be an integer.

Notice that this is a quadratic equation with a negative leading coefficient (so the arms of the graph will open downwards), thus, the maximum will be at the vertex.

Remember that for a general quadratic equation:

y = a*x^2 + bx + c

the x-value of the vertex is:

x = -b/(2*a)

so, in the case of:

f(y) =- 4*y^2 + 1000*y

the y-value of the vertex will be:

y = -1000/(2*-4) = 1000/8 = 125

So we found the value of y.

now we can use the equation:

x = 1000 - 4*y

x = 1000 - 4*125 = 1000 - 500 = 500

x = 500

Then the two numbers are:

x =500

y = 125

6 0

2 years ago

Help me please , Thanks

quester [9]

3,500 m so 3 km and 500 m

8 0

3 years ago