Triangle ABC has angle measrures as shown




(a) what is the value of x? show your work.
(b) what is the measures of the angle C? Show your work

Answer:

20

Step-by-step explanation:

Let us represent the number as x. In a similar sense, half the number would be [tex]\frac{x}{2}[/tex]. We know that their sum is 30, so we can write the following equation:

[tex]x+\frac{x}{2} =30\\2x+x=60\\3x=60\\\fbox{x=20}[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

rational

Step-by-step explanation:

that is literally the definition of a rational number, just change the part where it says function to number and polynomial functions to number as well.

Answer:

x = -5

Step-by-step explanation:

25 - 3x = 40

3x = -15

x = - 5

Answer:

x = -5

Step-by-step explanation:

25 − 3x = 40

-3x = 15

x = -5

Answer:

63 is the range of the following test scores.

Step-by-step explanation:

1. The largest number is 95.

2. The smallest number is 32.

3. The range is the difference between the largest and the smallest number.

4. Subtract 95 - 32 which equals 63.

5. 63 is the range of the following test scores.

Answer:

A, C, E, F

Step-by-step explanation:

...............

C= 0.25x + 200 represents the rental cost of renting a car with rental fees of $200 and additional fees per 'x' mile as $ 0.25.

" Equation is defined as the representation the relation of variables with the sign of equality."

According to the question,

'x' represents the number of miles

'C' represents the rental cost

Rental fees of a car = $200

Additional fees per 'x' miles = $0.25

As per the condition given we have,

C = 0.25x +200

The given model states that total cost of the car is equals to the rental fees of the car is $200 and the additional fees per 'x' miles is $0.25.

Hence, Option(C), Option(E) and Option(F) are the correct answer.

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Answer:

Step-by-step explanation:

x^2+4x+3

we need to factorise this

So (x+1)(x+3)

X=-1 x=-3

Hope that helps.

Answer:

The answer is Option A

Step-by-step explanation:

Start by dividing 54 by 6 which will give you 9

then divide b² by b^5 which will give you b³ at the denominator

then a^8÷a^-4

using indices...

=a^8-(-4)

=a^12

at the numerator

put everything together and you'll have...

9a^12/b³

A. [tex] \frac{9 \: {a}^{12} }{ {b}^{3} }[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]54 {a}^{8} {b}^{2} \div 6 {a}^{ - 4} {b}^{5} [/tex]

To solve the expression in a simpler way, single out the like terms.

Now, we have

[tex] \frac{54}{6} . \frac{ {a}^{8} }{ {a}^{ - 4} } . \frac{ {b}^{2} }{ {b}^{5} } \\ \\ = 9 \: {a}^{8 - ( - 4)} {b}^{2 - 5} \\ \\ (∵ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} ) \\ \\ = 9 \: {a}^{8 + 4} {b}^{ - 3} \\ \\ = 9 \: {a}^{12} {b}^{ - 3} \\ \\ ( \: or \: ) \\ \\ = \frac{9 \: {a}^{12} }{ {b}^{3} } \\ \\ (∵ {a}^{ - m} = \frac{1}{ {a}^{m} } )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

<1

Step-by-step explanation:

Answer:

Vase volume is 452.16 in³

Step-by-step explanation:

The question asks for the volume of a cylinder of radius r and height h.  The relevant formula is V = (pi)(r)^2*h

With h = 9 in and r = 4 in, that max volume (of water) is

V = (3.14)(4 in)^2*(9 in) = 452.`16 in³

Answer:

15,000 mm^3

Step-by-step explanation:

volume of the 2 stacked granola bars = volume of one granola bar x 2

volume of one granola bar = Volume of a prism = base area x height

5 x 55 x 30 x 2 = 15,000

Answer:

Find the volume of this prism.

Answer:

258.3 sq inches

Step-by-step explanation:

Use the sphere surface area formula, SA = 4[tex]\pi[/tex]r²

The diameter is 9.07 inches, so the radius is 4.535 inches.

Plug in 3.14 as pi and 4.535 as r, and solve:

SA = 4[tex]\pi[/tex]r²

SA = 4(3.14)(4.535)²

SA = 258.3

So, the surface area is approximately 258.3 sq inches

Answer:

[tex]=7[/tex]

Step-by-step explanation:

18 - 18 ÷ 3 - 5 =

Divide 18 ÷ 3 first because you have to divide before subtracting.

18 - 6 - 5 =

12 - 5 =

= 7

Hope this helps

Answer:

7

Step-by-step explanation:

thanks for the pts

✌️❤️✌️

Answer:

Answer Expert Verified

Given; prove; statements; and reasons. Explanation: The given is important information we are given at the beginning of the proof that we will use in constructing the proof. The "prove" is the statement we are trying to prove

Answer:

Sample Response: Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.

Step-by-step explanation:

Have the day you deserve :)

Answer:

[tex]A(w) = (40 - w) * w[/tex]

Step-by-step explanation:

Given

[tex]P = 80[/tex] ---- perimeter

Required

Write the area as a function of width

The perimeter of a rectangle is:

[tex]P =2(l + w)[/tex]

Where

[tex]l \to length\\ w \to width[/tex]

So, we have:

[tex]80 = 2*(l+w)[/tex]

Divide by 2

[tex]40 = l + w[/tex]

Make l the subject

[tex]l =40 - w[/tex]

The area of a rectangle is:

[tex]A = l * w[/tex]

Substitute: [tex]l =40 - w[/tex]

[tex]A = (40 - w) * w[/tex]

Hence, the function is:

[tex]A(w) = (40 - w) * w[/tex]

Answer:

48. option C : Substitution

49. Option D :  ( 3, 6)

Step-by-step explanation:

3x + y = 15       ------------- ( 1 )

      y = 2x  ------------------- ( 2 )

Substitute ( 2 ) in ( 1 ) :

3x + y = 15

3x + 2x = 15

5x = 15

[tex]x = \frac{15}{5} = 3[/tex]

Substitute x in ( 2 ) :

y = 2x

y = 2 × 3 = 6

The solution to the system of equation is ( 3 , 6 )  

Answer:

C and (3, 6 )

Step-by-step explanation:

(48)

Since given y = 2x the best method of solving is by substitution C

(49)

Given the 2 equations

3x + y = 15 → (1)

y = 2x → (2)

Substitute y = 2x into (1)

3x + 2x = 15

5x = 15 ( divide both sides by 5 )

x = 3

Substitute x = 3 into (2) and evaluate for y

y = 2x = 2 × 3 = 6

solution is (3, 6 )

Answer:

y = -7/3x -24

Step-by-step explanation:

I don't find this in the list of options. did you type everything correctly?

Answer:

Perimeter = 6s + 9 units

Step-by-step explanation:

Perimeter = 2s + 4 + 4s + 2 + 3

                = 2s + 4s + 4 +  2 + 3

                = 6s + 9 units

Answer:

Hi, there the answer is -1

Step-by-step explanation:

Answer: -1/9

Step by step explanation:

The common difference of an arithmetic sequence can be found by picking 2 consecutive terms, and subtracting the second from the first. For example, if I chose the terms 2 and 1 8/9, I would find the common difference by:

1 8/9 - 2, which is equal to -1/9.

You can confirm this by picking another pair of consecutive terms. Let's pick 1 7/9 and 1 2/3:

1 2/3 - 1 7/9 = -1/9, as 1 2/3 = 1 6/9, so 1 6/9 - 1 7/9 = -1/9

Answer: [tex]17,649[/tex]

Step-by-step explanation:

Given

The radius of the cycle is [tex]r=63\ cm[/tex]

Distance traveled by Paul is [tex]68.89\ km[/tex]

Distance traveled by one complete revolution of wheel is equivalent to circumference of wheel i.e.

[tex]\Rightarrow 2\pi r\\\\\Rightarrow 2\times \dfrac{22}{7}\times 63\\\\\Rightarrow 396\ cm\ \text{or}\ \text{3.96}\ m[/tex]

No of revolution made by wheel

[tex]\Rightarrow n=\dfrac{69.89\times 1000}{3.96}\\\\\Rightarrow n=17,648.9899\approx 17,649[/tex]

Using the Pythagorean Theorem, it is found that the length of the ladder needed to reach the window is given by:

a. 17.0 ft.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In this problem, the length of the ladder in feet is the hypotenuse, considering legs [tex]l_1 = 8, l_2 = 15[/tex].

Hence:

[tex]h^2 = 8^2 + 15^2[/tex]

[tex]h = \sqrt{8^2 + 15^2}[/tex]

h = 17.0 ft.

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Answer:

Animism

Step-by-step explanation:

Animism is often a major idea or thought which is developed in a child preooperational stage according to paiget's theory of cognitive development where a child's learning is driven and derived from by symbols. At this stage, a child often relates with their toys, and other inanimate objects they come across as though they were real, manipulating and transforming them to form different things including relating with these manipulated objects like they were living. This is because at this stage, a child cannot use cognitive or logic to make distinctions.

Answer:

a=70 vertically opp angles

b=80  linear pair

c=100   corresponding angles

d= 80 linear pair with c

e=  180 -a-d

=180-70-80

=30