Find the measure of the missing angle using the exterior angle sum theorm.

Answer:

Step-by-step explanation:

Using log(x) - log(y) = log (x/y)

logx^2 - log(x+6) = 1 is equal to:

log (x^2/(x+6)) = 1

Taking inverse base 3 log on both side:

x^2/(x+6) = 3

x^2 = 3x + 18

x^2 - 3x - 18 = 0

(x-6)(x+3) = 0

x = 6 or -3

Answer:

Step-by-step explanation:

1 = base 3log3

substitute

logx^2-log(x+6) = log3

logx^2 - log(x+6) - log3 = 0

log( (x^2/(x+6))/3 ) = 0

anti-log

x^2/3(x+6) = 1

x^2 = 3(x+6)

x^2-3x-18=0

x=6 n -3

anti-log base 3 on both sides:

Answer:

441 miles

Step-by-step explanation:

Rate of the Car: 819/13 = 63mph

Miles Driven in 7 Hours: 63*7 = 441 miles

Answer:

441 miles

Step-by-step explanation:

* means multiply

819/13 = x/7

13 * x = 819 * 7

13x = 5733

x = 5733 ÷ 13

x = 441

Answer:

It might be $17 for how much he has left.

Step-by-step explanation:

$20+$5-$10+5-$3=$17

Answer:

x = (4,0)

y = (0,-4)

Step-by-step explanation:

x - y = 4

(0) - y = 4

-(-y) = -(4)

y = -4

x - (0) = 4

x = 4

x = (4,0)

y = (0,-4)

Answer:

x = 4 . 0

y = 0 . -4)

Step-by-step explanation:

Answer: x = 16°

Step-by-step explanation:

This means (x+26)° + 3x° = 90°.

Solve for x:

x + 26 + 3x = 90

x + 3x = 90 - 26

4x = 64

x = 64 ÷ 4 = 16°

Answer:

x = 16

Step-by-step explanation:

First you have to know the max degrees in this figure

Since the shape is a right triangle, then the max degrees is 180°

Now that box in the triangle indicates that the angle measures 90°

180° - 90° = 90°

so for both missing angles, we're going to create a equation that satisfy to 90°

[tex](x+26)+(3x)=90[/tex]

First subtract the 26 from both sides (on 90 and on the equation)

[tex]x+3x=64[/tex]   (We're left with this)

64 = 3x + x

64 = 3(16) + 16

64 = 48 + 16

64 = 64

x = 16

Answer:

Point A, C and D

Point B

Step-by-step explanation:

[tex]{hope it helps[/tex]

Answer:

where is the graph?

Step-by-step explanation:

I could help.

Answer:

The points lie INSIDE THE CIRCLE

hope it helps

have a nice day

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Answer:

the square of hypotenuse rs eqaul to the sum of the square of the legs

Answer:

36,000

Step-by-step explanation:

Rounding Significant Figures Rules

Rounding Rules

When rounding significant figures the standard rules of rounding numbers apply, except that non-significant digits to the left of the decimal are replaced with zeros.

Example: 356 rounded to 2 significant digits is 360

This calculator rounds down if the next digit is less than 5 and rounds up when the next digit is greater than or equal to 5.

In the table below 305.459 is rounded from 0 to 6 significant figures. For comparison the same number is rounded from 0 to 6 decimal places. You can see the difference between rounding for significant figures and rounding to decimal places.

Answer:

7 jarras costarán 14 $

Step-by-step explanation:

Si 3 cubiertos cuestan  7.20 $

1 cubierto cuesta     7.20/3  =  2.40 $

y 5 cubiertos cuestan    5* 2.40   =  12 $

que también cuestan 6 jarras  =  12 $

Luego 1 jarra cuesta  12/6  =  2  $

Por lo que 7 jarras costarán:  7 * 2  =  14 $

Answer:

RV = 18

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

RV = [tex]\frac{1}{2}[/tex] RT = [tex]\frac{1}{2}[/tex] × 36 = 18

Answer:

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]

Step-by-step explanation:

Given

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]

Required

Solve

We have:

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]

Collect like terms

[tex]1.3t^3 + 0.6t^2 + 0.4t^2 - 24t- 18t + 8[/tex]

[tex]1.3t^3 + t^2 -42t + 8[/tex]

So:

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]

Answer:

look at pic

Step-by-step explanation:

What i can see:

It seems this law isn't particularly majorly favored in either party. In a lot of cases one party will have the majority support and one will have minority support. Although it seems to be more favored amongst democrats.

Like "insert law here" may be more favored by republicans or align more to their usual values.

Another thing is that it seems that it is controversial and a large portion either supports or doesnt support this law in both parties.

Im no master politician ofc but i am interested in politics so, yeah :)

Answer:

Among Democrats, a larger percentage do not support the law than support the law.

For both parties, more members do not support the law than support the law.

Step-by-step explanation:

just finish the test

Answer:

15

Step-by-step explanation:

Answer: -3, 4

Step-by-step explanation:

x · y = -12

x + y = 1 ⇒ y = 1 - x

Bring the y-value(1 - x) into x · y = -12:

[tex]x(1 - x) = -12 \\x-x^{2}=-12\\-x^{2}+x+12=0\\-(x^{2}-x-12)=0\\(x+3)(x-4)=0\\x=-3,x=4[/tex]

Bring the x-values into y = 1 - x and see if the values multiply to -12:

x = -3 ⇒ 1 - (-3) = 4 ⇒ 4 * -3 = -12

x = 4 ⇒ 1 -4 = -3 ⇒ -3 * 4 = -12

Solution to the question:

Number of blocks stacked: 30

Height of tower: 64 inches

Height of each block: ?

To find the height of each block, we divide the total height of the tower with the number of blocks stacked

Therefore,

Height of each block: 64/30 = 2.13 inches

So, the height of each block is 2.13 inches.

Answer:

The answer is 3x-y-2=0

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = [tex]\frac{4-1}{2-1}[/tex] = 3

The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = 3x - 2 ← in slope- intercept form

subtract y from both sides

0 = 3x - y - 2 , that is

3x - y - 2 = 0 ← in general form

Answer:

C. non collinear and coplanar

Option (C) non-collinear and co planar is the correct answer about the points R, L, and S.

A set of points in space are co planar, if there exists a geometric plane that contains them all.

Non-collinear points are points that do not lie on one straight line. The points are not collinear, when they are joined with each other, they form a triangle, which is a three-sided polygon.

For the given situation,

The diagram shows the plane M and the triangle.

In the diagram, all the points are lie on the same plane but the points are not lie on the same line.

Three points are always co planar, and if the points are distinct and non-collinear, the plane they determine is unique.

Hence we can conclude that option (C) non-collinear and co planar is the correct answer about the points R, L, and S.

Learn more about co planar and non-collinear here

https://brainly.com/question/24250339

#SPJ2

Step-by-step explanation:

here is the answer. Hope that helps.

Answer:

The number of non empty proper subsets of a set with 3 elements is =23−2=8−2=6.

Answer: In the end, she has $5400 in total, so she must gain $400 on her investment.

Step-by-step explanation:

8% is 0.08 >>> add 1 to it = 1.08

5000*1.08 = 5400

or the other way to do this is 5000*0.08 = 400 and then 5000+400=5400

Hope this helps!

Answer:

5. B

6. B

7. D

8. D

< means a filled in circle.

Hope this helps!

Answer:

(A)

Step-by-step explanation:

The bottom arrow goes to 5 1/2, and then because adding -3 is the same as subtracting 3, the top arrow correctly goes back 3, resulting in an answer of 2 1/2.

Hope it helps (●'◡'●)

Answer: £18693.96

Step-by-step explanation:

16470.45 + 16470.45(0.135)

= 16470.45(1 + 0.135)

= 16470.45(1.135)

≈ 18693.96

Answer:

Ewan ko lng po when you find someone ma mas better less sa kanya

Hi there!

[tex]\large\boxed{h = 8in}[/tex]

Area of a triangle:

A = 1/2(bh)

Plug in given values:

60 = 1/2(15h)

Solve for h. Multiply both sides by 2:

120 = 15h

Divide both sides by 15:

120/15 = h

h = 8 in

Answer:

8 inches

Step-by-step explanation:

Area of a triangle: [tex]\frac{1}{2}BH[/tex]

[tex]\frac{1}{2}(8)(15)=\frac{1}{2} (120)=60[/tex] CORRECT

8 inches

Hope this helped! Please mark brainliest :)

Answer: 60°

Step-by-step explanation:

If two angles are supplementary, that means they add up to 180°.

Therefore, if one angle is 120°, the other missing angle can be calculated by:

180° - 120° = 60°