A pair of angles is supplementary if the sum of their measures is 180 degrees. A pair of angels is complementary if the sum of their measures 90 degrees. the supplement of a given angel is 10 degrees more than twice its complement. Let 90-x equal the degree measure of its complement and 180-x equal the degree measure of its supplement. Write and solve an equation to find the measure of the given angel.

Answer:

The area of the triangle is 231 cm² to the nearest square centimeter

Step-by-step explanation:

We can find the area of a triangle has the lengths of two sides and the measure of the included angle by using the trigonometry

A = [tex]\frac{1}{2}[/tex] × s1 × s2 × sinФ, where

In ΔABC

∵ AC = 24 cm

∴ s1 = 24

∵ BC = 30 cm

∴ s2 = 30

∵ m∠C = 40°

∴ Ф = 40°

→ By using the rule of the area above

∵ A = [tex]\frac{1}{2}[/tex] × 24 × 30 × sin(40°)

∴ A = 231.4035395 cm²

→ Round it to the nearest square centimeter

∴ A = 231 cm²

∴ The area of the triangle is 231 cm² to the nearest square centimeter

Answer:

The first number is 184

Step-by-step explanation:

Hope this helps u!! :D

the answer to your problem is A or 28

Answer:

option D

Step-by-step explanation:

According to Pascal's triangle

1

1 1

1 2 1

1 3 3 1

it is clear the second term will have an integer coefficient of 3

Therefore 3(x)²(-1)¹

3x²(-1)=-3x²

Answer:

I'm sorry i can't help with all of the math, I do know that the answer for the radius is 4 though.

Step-by-step explanation:

Given:

[tex]\overline{HG}||\overline{JI},\overline{GI}\cong \overline{IK}[/tex] and [tex]\angle HIG\cong \angle JKI[/tex]

To prove:

[tex]\angle H\cong \angle J[/tex]

Solution:

In [tex]\Delta GHI[/tex] and [tex]\Delta IJK[/tex],

Statements                                               Reasons

[tex]\overline{HG}||\overline{JI},\overline{GK}[/tex] is transversal.                       (Given)

[tex]\angle HGI\cong \angle JIK[/tex]                                          (Corresponding angles)

[tex]\overline{GI}\cong \overline{IK}[/tex]                                                     (Given)

[tex]\angle HIG\cong \angle JKI[/tex]                                          (Given)

Two angles and their included side are congruent in both triangles. So,

[tex]\Delta GHI\cong \Delta IJK[/tex]                                         (ASA postulate)

[tex]\angle H\cong \angle J[/tex]                                                    (CPCTC)

Hence proved.

There’s nothing you can do about x = 1.2 = 3, because it has two equal signs. You can’t solve an equation that has two equal signs :(

Answer:

what does it say.........................

Answer:

They can make 10 smoothies

Step-by-step explanation:

15/3cups= 5

5x2=10

so 10 smoothies

Answer:

Step-by-step explanation:

The standard form of writing the linear equation of a line is expressed as;

f(x) = mx + c where;

m is the slope

c is the intercept

Given the function  f(x) = 3x − 12

x intercept occurs at f(x) = 0

0 = 3x - 12

3x = 12

x = 12/3

x = 4

Hence the x intercept is 4

y intercept occurs at x = 0

f(x) = 3(0) - 12

f(x) = -12

Hence the y intercept is at -12

Answer:

x<6

Step-by-step explanation:

You divide by 6 then change the inequality sign.

Answer:

y = ⅔x - 5

Step-by-step explanation:

The line that passes through (-3, -7) will have the same slope (m) as the line, 2x - 3y = 24. This is because if two lines that are parallel to each other would have the same slope.

Rewrite 2x - 3y = 24, in the slope-intercept form, y = mx + b.

Thus:

2x - 3y = 24, rewritten would give us y = ⅔x - 8.

The slope of the line, 2x - 3y = 24, is ⅔.

Thus, the slope of the line that is parallel to 2x - 3y = 24, is also ⅔.

To find the equation, substitute a = -3, b = -7, and m = ⅔ into y - b = m(x - a).

Thus:

y + 7 = ⅔(x + 3)

Rewrite to make the equation in slope-intercept form.

Thus:

y + 7 = ⅔(x + 3)

3(y + 7) = 2(x + 3) ---› multiplication property of equality

3y + 21 = 2x + 6 ----› distributive property

3y = 2x + 6 - 21 ----› subtraction property of equality

3y = 2x - 15

y = ⅔x - 5 (division property of equality)

Answer:

$11.55

Step-by-step explanation:

He spent 6.95 of the 13.5 which means he has 6.55 left. He then borrows 5 more dollars to buy snacks, so 6.55+5=11.55.

Answer:

$11.55

Step-by-step explanation:

hope this helped

Answer:

5

Step-by-step explanation:

Given

28.95 + 34.05b ≤ 200 ( subtract 28.95 from both sides )

34.05b ≤ 171.05 ( divide both sides by 34.05 )

b ≤ 5.02349..

Thus 5 black inks were purchased

Answer:

Nadia is incorrect, please check explanations for the correction to her work

Step-by-step explanation:

Here, we want to validate the wok of Nadia

Let the number be n

5 times the number is 5 * n = 5n

Difference between 5n and 3 less than twice the number

3 less than twice the number is 2n-3

So it should be 2n-3 ;

The solution is thus;

5n - (2n-3) = 18

5n - 2n + 3 = 18

3n + 3 = 18

3n = 18-3

3n = 15

n = 15/3

n = 5

Answer:

Nadia is incorrect; she did not translate the given information into an equation properly. The first equation should be 5n−(2n−3)=18.

Step-by-step explanation:

Answer:

Y=23x-43

Step-by-step explanation:

Distribute 23 to (x) and (-2) = 23x-46

The bring the -3 the other side

Y=23x-43

Answer: 48 litros.

Step-by-step explanation:

El recipiente está inicialmente lleno, definamos esta cantidad como X.

Se extrae un tercio, entonces lo que queda en el recipiente son dos tercios de la cantidad inicial, esto es:

(2/3)*X

Luego se extrae (1/4) de esta cantidad, eso quiere decir que queda (3/4) de esta cantidad, entonces lo que queda es:

(3/4)*(2/3)*X = (2/4)*X = (1/2)*X

Luego se agrega un litro, entonces tenemos:

(1/2)*X + 1 L

Sabemos que esta cantidad es igual a 25 L, entonces:

(1/2)*X + 1 L = 25 L

Resolvamos esto para X

(1/2)*X = 25 L - 1 L = 24 L

X = 2*24 L = 48 L

La cantidad que puede contener el contenedor son 48 litros.

Answer:

- 6 m/s

Step-by-step explanation:

The rate of change is a measure of the slope and can be calculated using the slope formula

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

with (x₁, y₁ ) = (2, 78) and (x₂, y₂ ) = (10, 30) ← 2 points on the line

m = [tex]\frac{30-78}{10-2}[/tex] = [tex]\frac{-48}{8}[/tex] = - 6

Rate of change is - 6 m/s

Answer:

D

x is less than or equal to -3

Step-by-step explanation:

I hope I was fast enough ^^

Answer:

Step-by-step explanation:

No problem

Answer:

(h*h)(10) is the same as h(10)*h(10). Let's find the value of h(10) first. To do this, replace every x with 10 like so

Step-by-step explanation:

h(x) = 6-x

h(10) = 6-10

h(10) = -4

So,

h(10)*h(10) = (-4)*(-4)

h(10)*h(10) = 16

The final answer is 16

Answer:

h≤6 that should be the answer

Answer:

a=7 i think

Step-by-step explanation:

Answer:

[tex]7 \sqrt{2} [/tex]

Step-by-step explanation:

given : area =98π

we know area of a circle = π r^2

hence

πr^2=98π { cancelling both π }

r^2=98

[tex]r = \sqrt{98} [/tex]

[tex]r = 7 \sqrt{2} [/tex]

hope it helps

Answer:

49 red marbles

Step-by-step explanation:

There is a bag with only red marbles and blue marbles.

We are told in the question that:

The probability of randomly choosing a blue marble is 2/9 . There are 63 marbles in total in the bag

Hence: since

P(Blue marbles) = 2/9

Hence,

The number of blue marbles = 63 ÷ 9

= 7

Hence:

2 × 7/9 × 7 = 14/63

Hence, the number of blue marbles = 14 blue marbles

The number of red marbles bus calculated as:

63 - 14 blue marbles

= 49 red marbles

Answer:

Hypothesis: If I am at least 16 years and 6 months old

Conclusion: Then I am able to get a provisional license

I hope this helps!

Answer:

The answer is  

20x + 17.5

Step-by-step explanation:

Multiply the 5 by the numbers inside the parenthesis.

5 x 4x

5 x 3.5

Answer:

7 years

Step-by-step explanation:

we need to multiply : 1/5*3/4 multiply 1 by 3 on the tops so we have 3/5*4 5*4=3/20

The [tex]\frac{1}{5} \times \frac{3}{4}[/tex] in simplest form is [tex]\frac{3}{20}[/tex].

Given that,

Based on the above information, the calculation is as follows:

[tex]= \frac{1}{5} \times \frac{3}{4}\\\\= \frac{3}{20}[/tex]

Therefore we can conclude that the [tex]\frac{1}{5} \times \frac{3}{4}[/tex] in simplest form is [tex]\frac{3}{20}[/tex].

Learn more: brainly.com/question/6201432

im not sure but maybe sorry

Answer:

18 degrees

Step-by-step explanation:

When Mr. Davidson preheated his oven, the oven's temperature rose 3 degrees in 1/ 6 of a minute. At that rate, how much will the oven heat up in 1 minute?

Solving the above question

1/6 minute = 3 degrees

1 minute = x

Cross y

1/6x = 3 × 1

x = 3 ÷ 1/6

x = 3 × 6

x = 18 degrees

The oven will heat up 18 degrees in 1 minute