which correctly describes how to determine the measure of angle 1?

Given:

One endpoint of a line segment = (-7,-9)

Midpoint of the segment = (-2,-16)

To find:

The other endpoint of the given line segment.

Solution:

Let (a,b) be the other endpoint of the given line segment.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using this formula, we get

[tex](-2,-16)=\left(\dfrac{-7+a}{2},\dfrac{-9+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{-7+a}{2}=-2[/tex]

[tex]-7+a=-4[/tex]

[tex]a=-4+7[/tex]

[tex]a=3[/tex]

And,

[tex]\dfrac{-9+b}{2}=-16[/tex]

[tex]-9+b=-32[/tex]

[tex]b=-32+9[/tex]

[tex]b=-23[/tex]

Therefore, the coordinates of other endpoint are (3,-23).

Answer:2y+7x

5y−7x

​

=−5

=12

​

We notice that the first equation has a 7x7x7, x term and the second equation has a -7x−7xminus, 7, x term. These terms will cancel if we add the equations together—that is, we'll eliminate the xxx terms:

\begin{aligned} 2y+\redD{7x} &= -5 \\ +~5y\redD{-7x}&=12\\ \hline\\ 7y+0 &=7 \end{aligned}

2y+7x

+ 5y−7x

7y+0

​

=−5

=12

=7

​

​

Solving for yyy, we get:

\begin{aligned} 7y+0 &=7\\\\ 7y &=7\\\\ y &=\goldD{1} \end{aligned}

7y+0

7y

y

​

=7

=7

=1

​

Plugging this value back into our first equation, we solve for the other variable:

\begin{aligned} 2y+7x &= -5\\\\ 2\cdot \goldD{1}+7x &= -5\\\\ 2+7x&=-5\\\\ 7x&=-7\\\\ x&=\blueD{-1} \end{aligned}

2y+7x

2⋅1+7x

2+7x

7x

x

​

=−5

=−5

=−5

=−7

=−1

​

The solution to the system is x=\blueD{-1}x=−1x, equals, start color #11accd, minus, 1, end color #11accd, y=\goldD{1}y=1y, equals, start color #e07d10, 1, end color #e07d10.

We can check our solution by plugging these values back into the original equations. Let's try the second equation:

\begin{aligned} 5y-7x &= 12\\\\ 5\cdot\goldD{1}-7(\blueD{-1}) &\stackrel ?= 12\\\\ 5+7 &= 12 \end{aligned}

5y−7x

5⋅1−7(−1)

5+7

​

=12

=

?

12

=12

​

Step-by-step explanation:

Answer:

m=-1/2

hope this helps

Answer:

-1/2

Step-by-step explanation:

9+3=12 and -1-5=-6

-6/12=-1/2

Answer:

−5^2x2+8x−15

Step-by-step explanation:

Hope it helps!

680 grams.

So, it's telling us to calculate the weight, in grams, of the other rock.

So firstly,

6 of the rocks EACH have a weight of 720 grams.

So, 6 x 720 = 4320

Now save 4320 for later.

Next, we need to convert the 5 kilograms into grams.

So, 5 x 1000 = 5000

now do, 5000 - 4320 = 680.

Your final answer would then be = 680g

I hope this helped.

We round up to 97 and the divide to the point it can to be divided anymore

Answer:

the answer would be 3/40

Answer:

3/40

Step-by-step explanation:

Scale factor = 9/10*12 = 3/40

Answer:

1/2x + 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 more will be 7+

half of a number, let number be x, that will be x/2

1/2 x+7

Answer: True

Step-by-step explanation:

The inequality is always True

Answer:the answer is 150

Step-by-step explanation:multiply 10 and 15 and you get 150

Answer:

[tex] 189.25 \: {cm}^{2} [/tex]

Step-by-step explanation:

Area of the shape = Area of rectangle + Area of semicircle.

For rectangle:

Length = 15 cm

Width = 10 cm

For semicircle:

Diameter = 10 cm

Radius = 10/2 = 5 cm

Area of the shape

[tex] = lb + \frac{1}{2} \pi {r}^{2} \\ \\ = 15 \times 10 + \frac{1}{2} \times 3.14 \times {(5)}^{2} \\ \\ = 150 + \frac{1}{2} \times 3.14 \times 25 \\ \\ = 150 + 39.25 \\ \\ = 189.25 \: {cm}^{2} [/tex]

Answer:

x = 12

Step-by-step explanation:

In similarity triangles angles are congruent.

∠D = ∠A

x² - 8x = 48

x² - 8x  - 48 = 0

x² + 4x  - 12x - 48 = 0

x(x + 4) - 12(x + 4) = 0

(x +4)(x - 12) = 0

x - 12 = 0     {Ignore x + 4 = 0, as measurements won't have negative values}

x = 12

Answer:

Step-by-step explanation:the answer to your question is 3/28

Answer:

3/28 or [tex]\frac{3}{28}[/tex]

Step-by-step explanation:

[tex]\frac{2}7}[/tex]÷[tex]\frac{8}{3}[/tex]

to divide fractions, flip the second one and multiply them.

[tex]\frac{2}{7}*\frac{3}{8}[/tex]

2 * 3 = 6

7 * 8 = 56

[tex]\frac{6}{56}[/tex]

simplify by dividing both sides by 2

[tex]\frac{3}{28}[/tex]

Answer:

try 2+2 that should work

6(-3x+8)=-3(5x +4)

Distributive property:

-18x + 48 =  -15x -12

Add 15x to both sides:

-3x + 48 = -12

Subtract 48 from both sides:

-3x = -60

Divide both sides by -3:

x = -60 / -3

x = 20

Answer:

first one is perpendicular

second one is neither

third one is parallel

Step-by-step explanation:

Answer:

8, 640

Step-by-step explanation:

It just is :) hope it helps

Answer:

A skateboarder travels down 2 meters a second

Step-by-step explanation:

The slope is 4 / 2 = 2

5 star, thank, and brainliest if helpful!

Answer:

Step-by-step explanation:

Rate of change = (2-3.6)/(5-(-3)) = -1.6/8 = 0.2

Answer:

Step-by-step explanation:

Plug in 16 for x. (4-16) then the answer is -12

Answer:

65 teddy bears

Step-by-step explanation:

Total stuffed animal = 104

Teddy bear : cats = 5 : 3

Total parts = 5+3 = 8

Number of teddy bears = [tex]\frac{5}{8}*104[/tex]

                                       = 5 * 13

                                      = 65

Answer:

she has 65 teddy bears

Step-by-step explanation:

if she has 104 stuffed animals and the ratio is 5/3 then to get the awnser you need 5/8

5/8*104

you get 65

Answer:

suppose

x+122=180

x=180-122

x=58

then

x+w+33=180

58+w+33=180

w=180-91

w=89

Answer:

Asiatic Registration Bill of 1906.

Step-by-step explanation:

The first passive resistance campaign was started in Johannesburg in 1907 with, and for, the wealthy South African Indian merchants whom he had so long represented.’ Gandhi’s first passive resistance campaign began as a protest against the Asiatic Registration Bill of 1906.

answer: 15

there is 15 left.

Answer:

147,000N

Step-by-step explanation:

A1= 2m^2

A2= 0.2m^2

F2= 14,700N

Required

F1, the applied force

Applying the formula

F1/A1= F2/A2

substute

F1/2=14700/0.2

2*14700= F1*0.2

29400= F1*0.2

F1= 29400/0.2

F1=147,000N

Hence, the applied force is 147,000N

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

g(x) = f(x +4) = 10^x+4

So the graph of the function g is the graph of function 4 units to the right

B is the answer

Answer:

10

Step-by-step explanation:

Answer:

Yes, you can

Step-by-step explanation:

As a point of reference, assume the equation is:

[tex]y = 5x[/tex]

Where

[tex]y = total\ cost[/tex]

and

[tex]x = pounds[/tex]

In standard unit of conversion:

[tex]1\ pound = 0.4793\ quart[/tex]

So:

[tex]x\ pounds = 0.4793x\ quart[/tex]

Substitute 0.4793x for x in [tex]y = 5x[/tex]

[tex]y = 5 * 0.4793x[/tex]

[tex]y = 2.3965x[/tex]

The above equation is the equivalent of [tex]y = 5x[/tex] in quarts

So, irrespective of what the equation is, you can always substitute quarts into the equation.

Answer:

11 in

Step-by-step explanation:

1 in=270 ft

2970/270=11