angles and triangles

Step-by-step explanation:

[tex]{ \huge {\underline {\underline {\mathtt {\red{♡Answer}}}}}}[/tex]

=> X - 2 = -8

=> X=(-6) - 2

=> -8

Answer:

x = -6

Step-by-step explanation:

x - 2 = -8

Add 2 to both sides to isolate the variable, x.

x - 2 + 2 = -8 + 2

-2+2 = 0

-8+2 = -6

Therefore,

x = -6

Check:

-6 -2 = -8

Hope this helps

Answer:

5

Step-by-step explanation:

15+5=20

Answer:

700

Step-by-step explanation:

35 m = 3500 cm

3500 cm ÷ 5 cm = 700

Answer:

the percentage change in the volume of the oil is -3.22%

Step-by-step explanation:

The computation of the percentage change in the volume of the oil is given below:

= -(6,000 - 0) ÷ (186,000)

=  -3.22%

This negative sign represents the decrease in the volume

Hence, the percentage change in the volume of the oil is -3.22%

Answer:

-7.96

Step-by-step explanation:

I used a calculator

Answer:

1.918

Step-by-step explanation:

1 then do 459/500 x 2 to make 918/1000 then add and convert

Answer:

We want to rewrite:

sin^4(x)

in a way that only involves the first power of the cosine function.

We know that:

sin^2(x) = 1 - cos^2(x)

Then:

sin^4(x) = sin^2(x)*sin^2(x) = sin^2(x)*(1 - cos^2(x))

Now we know that:

cos(2x) = cos^2(x) - sin^2(x)

then

cos(2x) + sin^2(x) = cos^2(x)

We can replace that in our equation to get:

sin^2(x)*(1 - cos^2(x)) =  sin^2(x)*(1 - cos(2x) - sin^2(x) )

sin^2(x)*(1 - cos(2x) - sin^2(x) ) = sin^2(x) - sin^2(x)*cos(2x) - sin^4(x)

then:

sin^4(x) =  sin^2(x) - sin^2(x)*cos(2x) - sin^4(x)

sin^4(x) + sin^4(x) =   sin^2(x) - sin^2(x)*cos(2x)

2*sin^4(x) =  sin^2(x) - sin^2(x)*cos(2x)  = sin^2(x)*(1 - cos(2x))

sin^4(x) = sin^2(x)*(1 - cos(2x))/2

So we rewrite the equation in such a way that we only have the first power of the cosine function.

Answer:

y=6x+31

Step-by-step explanation:

Answer:

[tex]y-1=6(x+5)[/tex]

Step-by-step explanation:

The given point is (-5, 1) and the slope is 6.

Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

We will let (-5, 1) be (x₁, y₁) and we will substitute 6 for m. Therefore:

[tex]y-(1)=6(x-(-5))[/tex]

Simplify:

[tex]y-1=6(x+5)[/tex]

Answer:

x = 25

Step-by-step explanation:

Since ∠ A = ∠ B then the triangle is isosceles and AC = BC , that is

4x - 30 = 2x + 20 ( subtract 2x from both sides )

2x - 30 = 20 ( add 30 to both sides )

2x = 50 ( divide both sides by 2 )

x = 25

Step-by-step explanation:

x=11

hope it helps.

comment me if im correct then i will post step by step

and sorry, if im incorrect.

Answer:

(-2, -1, 0, 3,3)

Step-by-step explanation:

The domain simply refers to the possible x-values the function can take

so by listing out all the x-values of the individual points, we have all the domains

That will be ;

(-2, -1, 0, 3,3)

Answer:

Infinitely many solutions.

Step-by-step explanation:

Multiply the second equation by -2, then add the equations together

(20x+2y=18)

−2(10x+y=9)  

20x+2y=18

−20x−2y=−18

Add these equations to eliminate x

0=0

Infinitely many solutions.

Answer:

4×3+3=15

so the answer must be 15

Answer:

$36.38

Step-by-step explanation:

If the sales tax rate is 7% in New York, then how much sales tax would you pay in New York for a $34 pair of pants?

Given data

Tax= 7%

Cost = $34

Let us solve for the amount of tax

=7/100*34

=0.07*34

=2.38

Hence the total is =2.38+34

=$36.38

Answer:

-35

Step-by-step explanation:

X's cancel out each other

-10+-25

Answer:

The GCF of 40x and 25 is 5.

Step-by-step explanation:

5 goes into both 40 and 25.

Answer: 14.1

Step-by-step explanation:

Answer:

side= 6400/4

       =1600

therefore the area= 1600*1600

                                2560000

cost of reaping 100sq.m.=35

cost of reaping 1sq.m= 0.35

cost of reaping 2560000m sq=  2560000*0.35

                                                    = 906000

Answer:

Alternate Interior ∠s: 3 & 5, 4 & 6.

Corresponding ∠s: 1 & 5, 2 & 6, 3 & 8, 4 & 7.

Alternate Exterior ∠s: 1 & 8, 2 & 7.

Consecutive ∠s: 3 & 6, 4 & 5.

Step-by-step explanation:

Alternate interior angles must both be in between the parallel lines, it is almost like you are flipping the angle over the line, then moving it down, if that makes any sense.

Corresponding angles correspond, which means that they are the same (of course), but it is like you go directly down to the similar angle. You can visually see that angles are the same, an example is 1 & 5.

Alternate exterior angles are similar to alternate exterior angles, but they must be on the exterior of the parallel lines. Once again, it is like you are flipping the angle of the line, then turning it downwards, if it makes any sense that way to you.

Consecutive angles are always in between the two parallel lines on the same side. They add up to 180. So 4 & 5 is a good example.

Good luck.

Answer:

4/5

Step-by-step explanation:

Multiply 4/1 and 5/1

Answer:

4/5

Step-by-step explanation:

Answer: I am pretty sure it is 2/1

Step-by-step explanation: rise/run

Answer:

Step-by-step explanation:y=4  x=3

Answer:

[tex]\vec v = 2\cdot \vec a = \langle -4,6 \rangle[/tex]

Step-by-step explanation:

Let [tex]\vec a = \langle -2, 3 \rangle[/tex], we need to determine [tex]\vec v = 2\cdot \vec a[/tex], which can be found by applying the following property:

[tex]\alpha \cdot \langle x,y \rangle = \langle \alpha \cdot x, \alpha \cdot y\rangle[/tex], [tex]\forall \,\alpha,x,y\in \mathbb{R}[/tex] (1)

Then,

[tex]\vec v = 2\cdot \langle -2,3 \rangle[/tex]

[tex]\vec v = \langle -4,6 \rangle[/tex]

Answer:

-1/36

Step-by-step explanation:

18=-1/(2k)

2k=-1/18

k=(-1/18)/2

k=(-1/18)(1/2)

k=-1/36

Answer:

27.2 ft

Step-by-step explanation:

Since 1 in on the drawing = 8 ft, we should find out how much ft is 3.4 in.

So, to get from 1 to 8, we multiply by 8.

And since we multiply by 8, we also have to do it to the other part as well.

So we would do:

8 x 3.4 = 27.2

Hope this helps! :)

Answer:

Step-by-step explanation:

1035-15% of 1035= cost price

=1035-15/100x1035

=1035-155.25

=879.75

Answer:

5.5

Step-by-step explanation:

2x -3 = 8

then

2x = 8 + 3 = 11

means

2x = 11

then

x = 11 ÷ 2

x = 5.5

___________________

we change the sign (- or +)

then take the number to the other side of the equal (with the changed sign)

leaving the x alone so that we can answer the equation..

_____________

to make sure

2×5.5 -3 = .....

it will be 8

Answer:

Sorry dude I don't know the answer.

Answer:

See the distances bellow

Step-by-step explanation:

Given data

D(-5, -6), E(5, 2)

substitute into the expression for the distance

[tex]d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((5+5)^2 + (2+6)^2)\\\\d= \sqrt((10)^2 + (8)^2)\\\\d= \sqrt(100 +64)\\\\d= \sqrt((164)\\\\d= 12.80[/tex]

E(5, 2), F(4, -4)

[tex]d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((4-5)^2 + (-4-2)^2)\\\\d= \sqrt((-1)^2 + (-6)^2)\\\\d= \sqrt(1+36)\\\\d= \sqrt((37)\\\\d= 6.08[/tex]

F(4, -4), G(-6, -12)

[tex]d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((-6-4)^2 + (-12+4)^2)\\\\d= \sqrt((-10)^2 + (-8)^2)\\\\d= \sqrt(100+64)\\\\d= \sqrt((164)\\\\d= 12.80[/tex]

G(-6, -12),  D(-5, -6)

[tex]d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((-6+5)^2 + (-12+6)^2)\\\\d= \sqrt((-1)^2 + (-6)^2)\\\\d= \sqrt(1+36)\\\\d= \sqrt((37)\\\\d= 6.08[/tex]