2. 1. POINT A HAS COORDINATES (4,6) AND POINT O IS AT THE ORIGIN. FIND THE DISTANCE FROM O TO A. A 6​

Answer/Step-by-step explanation:

When twi straight lines intersect, they form 2 pairs of opposite vertical angles that are congruent.

In the diagram given, the following pairs of vertical angles are formed:

<c and 40°

<b and <d

<c = 40° (vertical angles are congruent)

<b and 40° are linear pairs. They are both supplementary. Therefore:

<b = 180° - 40

<b = 140°

<d = <b (vertical angles)

<d = 140° (substitution)

Answer:

Negative

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edge2020

Answer:

Unit Rate = (4/9)/(3/5) = (4/9)(5/3) = 20/27 pages per minute

Report 01/07/18

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

From the figure, its clear that the compass drew arcs like below:

With A as centre, and more than half of the length of AB as radius, one arc is drawn.

With the same radius, with B as centre, another arc is drawn.

The points of intersections of the arcs are X and Y.

Clearly, this is the construction of a perpendicular bisector of the line segment AB.

Hence, if we draw a line segment through XY, it will be a perpendicular bisector of AB.

Step-by-step explanation:

Answer:

1.05 × 10^-3

Step-by-step explanation:

The decimal number 0.00105 in scientific notation is  [tex]1.05 \times 10^{-3}.[/tex]

Scientific notation is a way to represent numbers that are either very large or very small.

It consists of two parts: the coefficient and the exponent.

The coefficient is a decimal number between 1 and 10, and the exponent indicates the power of 10 by which the coefficient is multiplied.

In the case of 0.00105, we can express it in scientific notation as [tex]1.05 \times 10^{-3}.[/tex]

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Answer:

1

Step-by-step explanation:

[tex]x + 85 + x + 64 + 45 = 180°[/tex]

[tex](x + x) + (85 + 64 + 45)= 180[/tex]

[tex]2x + 194= 180[/tex]

[tex]2x = 180 - 194[/tex]

[tex]2x = - 14[/tex]

[tex]x = \frac{ - 14}{ \: \: \: \: 2} [/tex]

[tex]x = - 7[/tex]

[tex]∴ \: the \: value \: of \: x \: = - 7[/tex]

Answer:

no you can not make 1 into a triangle

Step-by-step explanation:

16 cm, 30 cm, 45 cm

if you want to draw a triangle with these sides you would add

16 + 30 = 46

the longest side would have to be greater then the other 2 sides

Answer:

A) -2x + y = 3

Step-by-step explanation:

The equation of the line that is perpendicular to the given line and passes through its y-intercept is -2x + y = 3.

We are given that;

The equation= 2x + 4y - 12

Now,

The given line is 2x + 4y - 12 = 0.

To find the slope of a line perpendicular to this line, we need to find the slope of the given line first.

Rewrite the equation in slope-intercept form which is given by:

y = mx + b

where m is the slope and b is the y-intercept.

2x + 4y - 12 = 0

4y = -2x + 12

y = (-1/2)x + 3

Hence, the slope of the given line is -1/2.

The slope of a line perpendicular to this line is the negative reciprocal of this slope which is given by:

[tex]m(perpendicular)[/tex] = -1/m = -1/(-1/2) = 2

To find an equation of a line that passes through the y-intercept of the given line and has a slope of 2.

The y-intercept of the given line can be found by setting x = 0:

2(0) + 4y - 12 = 0

y = 3

Hence, the y-intercept of the given line is 3.

The equation of a line with a slope of 2 and passing through (0,3) can be found using point-slope form which is given by:

y - y1 = m(x - x1)

where (x1,y1) = (0,3) and m = 2.

Substituting these values we get:

y - 3 = 2(x - 0)

y - 3 = 2x

y = 2x + 3

Therefore, by the equation answer will be -2x + y = 3.

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Answer:

C.

Step-by-step explanation:

got it right on edge :)

The given trig function consist of trig values of common angles;

The values that represent the solution to [tex]\mathbf{cos \left(\dfrac{\pi}{4} - x\right)} = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex], x ∈ [0, 2·π) are;

[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]

Reason:

The given function is presented as follows;

[tex]cos \left(\dfrac{\pi}{4} - x\right) = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]

Where;

x ∈ [0, 2·π)

We have;

cos(A - B) = cos(A)·cos(B) - sin(A)·sin(B)

[tex]cos \left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}, \ sin\left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}[/tex]

Which gives

[tex]cos \left(\dfrac{\pi}{4} - x\right) =\dfrac{\sqrt{2} }{2} \cdot cos \, x + \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]

Therefore, we get;

[tex]\dfrac{\sqrt{2} }{2} \cdot cos \, x = \dfrac{\sqrt{2} }{2} \cdot sin \, x - \dfrac{\sqrt{2} }{2} \cdot sin \, x = 0[/tex]

cos x = 0

Therefore;

Where;

n = 1, 3, 5, ...

x ∈ [0, 2·π)

We get;

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Answer:

I believe the answer is D.25

Step-by-step explanation:

Hope this helps!!

Step-by-step explanation:

E3, E6, E11, E7: no solution

E1, E12 : 1 solution

E2, E8, E10 : infinite solutions

Answer:

See attached

Step-by-step explanation:

The answer is attached

Infinitely many solutions

One solution

No solution

Answer:

x =-4

Step-by-step explanation:

3x − 7 = −19

Add 7 to each side

3x − 7+7 = −19+7

3x = -12

Divide by 3

3x/3 = -12/3

x =-4

Answer:

A

Step-by-step explanation:

i just know :)

Answer:

Step-by-step explanation:

First part:

Second part:

I hope this helps!

Answer:

33.75 ounces

hope this helps

Answer:

I think the answer may be 30....But that's only a random guess

Plsss lemme know the real answer in the comments

Step-by-step explanation:

Answer:The teller gave him 14 five-dollar bills and 10 ten-dollar bills.

Step-by-step explanation:The bank teller gave him 24 dollar bills worth $170 so 14 five-dollar bills plus 10 ten-dollar bills will give you 24 dollar bills.

Answer:

[tex]x=\frac{-3c-v}{a-3};\quad \:a\ne \:3[/tex]

Step-by-step explanation:

--expand--

ax+v=3x-3c

--subtract v from each side--

ax+v-v=3x-3c-v

--simplfy--

ax=3x-3c-v

--subtract 3x from both side--

ax-3x=3x-3c-v-3x

--simplfiy--

--factor--(factor out the x from ax-3)

[tex]x\left(a-3\right)=-3c-v[/tex]

[tex]\frac{x\left(a-3\right)}{a-3}=-\frac{3c}{a-3}-\frac{v}{a-3};\quad \:a\ne \:3[/tex]

[tex]x=\frac{-3c-v}{a-3};\quad \:a\ne \:3[/tex]

<3

Red

Answer:

umm hey

Step-by-step explanation:

Answer:

munny

Step-by-step explanation:

Step-by-step explanation:

Hey there!

Here; The coordinates are ; H(-4,-2), G(-5,3), F(-2,1)

The translation P(x,y) = P'(X+7,y)

Use same formula.

H(-4,-2) -------> P'(3,-2)

G(-5,3)-----------> G'(2,3)

F(-2,1)------------> F'(5,1)

Therefore, the answer is Option C.

Hope it helps..

Answer:

Step-by-step explanation:

6.8

7.4

8.3

6.7

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Given:

[tex]DG = 10[/tex]

See attachment for complete question.

From the attachment, we can conclude that:

[tex]x + 1 + 2x - 15 = DG[/tex]

Substitute 10 for DG

[tex]x + 1 + 2x - 15 = 10[/tex]

Collect Like Terms

[tex]x + 2x = 10 + 15 - 1[/tex]

[tex]3x = 24[/tex]

Solve for x

[tex]x = 24/3[/tex]

[tex]x = 8[/tex]

Answer:

2√

Step-by-step explanation:

Answer:

2√

Step-by-step explanation:

Answer:

68°F is 20°C

Step-by-step explanation:

C = (5/9)(F - 32)

C = (5/9)(68 - 32)

C = (5/9)(36)

C = 5 * 4

C = 20

Answer: 68°F is 20°C

Answer:

The sum of 20 and a number,m = 20+m

Answer: C

The line crosses 1 on the y-axis which mean the equation is y = 0.3x + 1