most of the mathematical symbols were not invented until 16th century, before that how equations were written?

Supplementary means that the angles together equal 180°

So we simply do 180 - 28 = 152°

Hope this helps!

Answer:

See image

Step-by-step explanation:

On line 3, the reason is filled in that "All right angles are congruent" so kind of working backwards, the statement must say that two right angles are congruent. Use the angles in the previous two statements. Line 4 has the statement completely filled in, the reason is bc it is given in the list of given statements beside the diagram. Line 5 says that RT is congruent to itself. That is reflexive property, like a reflection in a mirror. Same ~= same.

You can see from the markings on the image that you have Angle-Side-Angle, which is one of several ways that we can show that triangles are congruent. ASA is what is shown in statements 1-5. See image.

Answer:

-13

Step-by-step explanation:

Answer:

Second and fourth

Step-by-step explanation:

A line is in point-slope form when you write down as [tex]y-y_0=m(x-x_0)[/tex] - do not be distracted by the signs, +1 and +5 can both be written as -(-1) or -(-5) rispectively.

Step-by-step explanation:

A quadrilateral has (four) sides and (four) angles

A pentagon has (five) sides and (five) angles

A cube (six) faces

hope this helps you.

Answer: 160

Step-by-step explanation: The questions says that there are 144 which make up 90% of the total group.

What is the other 10%? To figure this out, we can set up a proportion which we can do in the following way:

144/t = 90/100

From here, you can cross multiply 144 x 100 = 14,400

90t = 14,400

t= 160

You can always check by plugging 160 into t to make sure the proportion is equal. I picked t as my varriable of choice which stands for team members. But you can pick an varriable (letter) to find an unknown.

In practice, is best that your child uses a calculator because in the real world, its a practical handy tool and one doesn't have time to memorize every detail by doing that long division. Once your child gets the hang of practicing setting up proportions, your child can solve a variety of problems without going back in circles.

Hope this explanation helps. Best of luck to you and your child.

Answer:

no

yes

no

yes

Step-by-step explanation:

thats the answer

Answer:

2x³ + 4x² cub. inches

3x³ + 36x² + 105x cub. inches

x³ + 32x² + 105x cub. inches

Step-by-step explanation:

Volume of the small box = x × 2x × (x + 2)

= 2x²(x + 2)

= 2x³ + 4x² cubic inches

Volume of the large box = (x + 5)(x + 7) × 3x

= (x² + 12x + 35) × 3x

= 3x³ + 36x² + 105x cubic inches

Difference between Volume of large box and small box = 3x³ + 36x² + 105x - (2x³ + 4x²)

3x³ + 36x² + 105x - 2x³ - 4x²

x³ + 32x² + 105x cubic inches

Step-by-step explanation:

you know, a single side cannot be longer than the other 2 sides combined.

otherwise, the triangle cannot "close".

so, it starts with 12 cannot be longer than 5 + n.

therefore, n must be at least 7.

and n cannot be longer than 5+12 = 17

7 and 17 I would normally rule out a well, because in these cases the triangle would just be a flat line, when the 3rd side is as long as the other 2 combined.

so, in reality for a real, visible triangle, the range of valid values is 8 .. 16.

that is 9 positive integer values.

f we plot the provided points, we'd end up with something like the picture below, which is a line, mind you a declining line from left to right, so we can pretty see it has a negative slope, to get the slope we can just pick any two given points and check what it might be as well as get its equation, hmmm let's use the points of (4,-8) and (2,8)[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}}\implies \cfrac{8+8}{-2}\implies \cfrac{16}{-2}\implies -8 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{-8}(x-\stackrel{x_1}{4})\implies y =-8x+24[/tex]

so is linear because it has a slope (common difference) of -8,

Answer: 2/3 time 3/7 it would be 6/21

Step-by-step explanation: because you would multiply bot the numerator and denominater.

Answer:

so you just use the equation to get the formula and extract the common denominator

Step-by-step explanation:

because i said so

Answer:

C = -1 1/9° or -1.11°

Step-by-step explanation:

Use the formula given, and input 30 for F

[tex]C = 5/9(F - 32)\\\\C = 5/9(30 - 32)\\\\C = 5/9(-2)\\\\C = -10/9 = -1 \frac{1}9 = -1.11[/tex]

30°F ≈ -1.11°C

-Chetan K

This value is approximate.

==================================================

Explanation:

You're given a temperature of 30 degrees F and your teacher wants to know the Celsius version of this temperature. Plug in F = 30 and simplify.

[tex]C = \frac{5}{9}(F-32)\\\\C = \frac{5}{9}(30-32)\\\\C = \frac{5}{9}(-2)\\\\C \approx 0.5555*(-2)\\\\C \approx -1.111\\\\[/tex]

The temperature 30 degrees F converts to approximately -1.111 degrees C. Fahrenheit temperatures below 32 degrees are below 0 when converted over to Celsius.

Answer:

2 × 6 × 4

Step-by-step explanation:

This can also be written like this.

Answer:

I think its 86

Step-by-step explanation:

As the two lines going in the same direction are parallel and angles within parallel lines add to 180.

so 180-94=86

Answer:

If the die is 6 sided then the likely is none (0)

Step-by-step explanation:

Hope this helps!:)

Answer: A. Vertical angles

Step-by-step explanation:

They are vertically opposite angles.

Correct me if I am incorrect.

no why? cause the guy bought 2 shirts for 19 dollors each where was he at nikes?  on average a shirt cost 15 bucks but 19? yeah no

Answer:

Step-by-step explanation:

no why? cause the guy bought 2 shirts for 19 dollors each where was he at nikes?  on average a shirt cost 15 bucks but 19? yeah no

Answer:

9 is the answer.

Step-by-step explanation:

5(x − 4)2 = 4x + 14

=> 10x - 40 = 4x + 14

=> 6x = 54

=> x = 9

Therefore, 9 is the answer.

Hoped this helped.

The value of the x after solving the equation 5 (x - 4) 2 = 4x + 14 is x = 9.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Given linear equation,

5 (x - 4) 2 = 4x + 14

5 × 2 (x - 4) = 4x + 14

10 (x - 4) = 4x + 14

By distributive property, p (q + r) = p q + p r

10x - (10 × 4) = 4x + 14

10x - 40 = 4x + 14

10x - 4x = 14 + 40

6x = 54

x = 54 / 6

x = 9

Hence the value of x is 9.

To learn more about Linear Equations, click on the link given below :

https://brainly.com/question/11897796

#SPJ2

Divide 140 by 7 and you get 20, so Monica spent 20$ in order to pay a 1.40 sales tax

Answer:

at the vertex x = 4.5

Step-by-step explanation:

hope this helps! :)

Answer:

at the vertex x = 4.5

Step-by-step explanation:

Answer:

sqr75=sqr25*sqr3=5*sqr3

88(5*sqr3)

decimal = 762.10235533

Answer:

Step-by-step explanation:

Given:

Solution:

Rewrite the expression as:

Multiply 88 into 5:

Answer:

$1.20 for one pound of rice

Step-by-step explanation:

$9.60 ÷ 8 = $1.20

I hope this helps!

Answer:

14

Step-by-step explanation:

3+3+4+4 = 14

Answer:

=[tex]\frac{256}{81}[/tex]

(Decimal: 3.160494)

Step-by-step explanation:

[tex](\frac{3}{4} )^-4[/tex]

[tex](\frac{4}{3} )^4[/tex]

[tex]\frac{4^4}{3^4}[/tex]

=[tex]\frac{256}{81}[/tex]

(Decimal: 3.160494)

:)

I hope this helps

Answer:

Refer to link below:

Step-by-step explanation:

https://brainly.com/question/25868816?referrer=searchResults

The homogeneous equation

y'' + y = 0

has characteristic equation

r² + 1 = 0

with roots at r = ± √(-1) = ± i, and so the characteristic solution is

y = C₁ cos(x) + C₂ sin(x)

Using the method of undetermined coefficients, suppose

y = a x cos(x) + b x sin(x)

(we would normally consider y = a cos(x) + b sin(x), but cos(x) and sin(x) are already part of the characteristic solution)

The derivatives are

y' = a cos(x) - a x sin(x) + b sin(x) + b x cos(x)

y' = (b - a x) sin(x) + (a + b x) cos(x)

and

y'' = -a sin(x) + (b - a x) cos(x) + b cos(x) - (a + b x) sin(x)

y'' = (-2a - b x) sin(x) + (2b - a x) cos(x)

Then

y'' + y = (-2a - b x) sin(x) + (2b - a x) cos(x) + a x cos(x) + b x sin(x)

7 sin(x) = -2a sin(x) + 2b cos(x)

and it follows that a = -7/2 and b = 0.

So, the general solution to the DE is

y = C₁ cos(x) + C₂ sin(x) - 7/2 x cos(x)

which means the only valid solutions from the given choices are

y = 7 sin(x)

y = 7 cos(x)

Answer:

correct answer explained above

Step-by-step explanation:

x³ + 3x² - 19  ÷ x - 2 = x² + 5x + 10 rem 1

x³ -  2x²

      5x² - 19

      5x² - 10x

               10x - 19

               10x - 20

                         1

Answer:

quickly:

x-2=0 x^3+3x^2-19

x=0+2 = 2^3+3(2)^2-19

x=2 = 8+6^2-19

=8+36-19

=42-19

=23

The remainder is 23