Use the digital text feature to complete the explanation: The 24th Amendment states that citizens of the United States will not be stopped from voting if

they are sick or elderly

Othey are guilty of a crime

Othey are in a political office

Othey do not pay their taxes ​

180-135=45

Step-by-step explanation:

the angles should total 360.

the opposite angle R is 135 and is equal to P

S is equal to Q so that can help

Concept :-

⠀

We have studied the law which states that the sum of all angles in a triangle is 180°, this is known as angle sum property of a triangle. We can solve this question based on that property.

Solution :-

⠀

Let us assume the missing angle to be x,

Therefore,

→ 66° + 71° + x = 180° ( Angle sum property of a triangle )

→ 137° + x = 180°

→ x = 180° - 137°

→ x = 43°

Thus, the measure of the missing angle is 43°.

Hope that helps :)

Answer:

7.6

Step-by-step explanation:

a^2 + b^2 = c^2

6.5^2 + x^2 = 10^2

42.25 + x^2 = 100

isolate x by subtracting 42.25 on both sides

x^2 = 57.75

square root of 57.75 or 7.6

Answer:

x = 15

Step-by-step explanation:

the easiest way to do this is 5 times 3 and with that we get 15 :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

answer: x = 15

explanation in picture

[tex]\mathsf\pink{♧ANSWER♧}[/tex]

[tex] \mathsf \purple{0.85 = \frac{85}{100} = \frac{17}{20} }[/tex]

85/100 = 17/20

first we write the fraction from of 0.85 which is 85/100

then for simplifying it, we divide both 85 and 100 by 5

then we get to 17/20 which is our final answer

Answer:

90 for choice 1, 112.5 is for choice 2, 180 for choice 3, and 180 for choice 4.

Step-by-step explanation:

67.50 and 22.5 is a complementary angle because it adds up to 90 degrees.

22.5 and 90 added is 112.5 which is an obtuse angle

60 and 120 added is a supplementary angle because 60 + 120 is 180

135 and 45 is also a supplementary angle because 135+45 = 180

Answer:

A. 3.    B. 20

Step-by-step explanation:

2 divided by 2/3 is 2/ 2/3 or  6/2   which is 3.

3 divided by 1/10 is  3/ 1/10 or 30.

Answer:

2880 cubic meters.

Step-by-step explanation:

To find the area of a rectangular prism, multiply the length width and height.
20*12*12=144*20=2880

The volume of the Rectangular Prism is 2880 cubic meters.

Rectangular prism can be defined as a" 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid".

According to the question,

Length of the rectangular prism = 20 meters

Height of the rectangular prism = 12 meters

Width of the rectangular prism = 12 meters

Formula for Rectangular Prism = length × breadth × height

= 20 × 12 × 12

= 2880 cubic meters.

Hence, the volume of the Rectangular Prism is 2880 cubic meters.

Learn more about Rectangular Prism here

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Answer:

D. x< -6

Step-by-step explanation:

Divide both sides by −2. Since −2 is negative, the inequality direction is changed.

x < 12/-2

Divide 12 by −2 to get −6.

x < -6

Answer:

Step-by-step explanation:

Essentially, recall what an absolute value function is.

When you plug number into an absolute value function, or make it an absolute value, you will ALWAYS get a positive version of that number.

When the question asks, what number could be the absolute value of another number, it's asking you what is a possible outcome of making a number an absolute value.

Since we know that making any number an absolute value, makes that number positive. We can get rid of all of the negative answers.

You are left with B.

Answer:

B. 1200

Step-by-step explanation:

Absolute value is the non-negative version of a number/variable. Whether the sign is negative or positive, the absolute value is always positive.

Example:

|-4|=4
|2|=2

Answer: The domain of this function is any real number. More mathematically it is put as

-∞ < x <+∞

Answer:

The domain of this function is any real number. More mathematically it is put as

-∞ < x <+∞

Step-by-step explanation:

Answer:

○ [tex]\displaystyle -\frac{3}{4}\:houses\:per\:day[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-8 + 2}{-2 + 10} = m \hookrightarrow \frac{-6}{8} = m \\ \\ \boxed{-\frac{3}{4} = m}[/tex]

I am joyous to assist you at any time.

Answer:

Alex = No B.

Step-by-step explanation:

1) Use Quotient Rule: [tex]\frac{x^{a} }{x^{b} } =x^{a-b}[/tex]

[tex]n^{1-3}[/tex]

2) Simplify 1 - 3 = 2

[tex]n^{-2}[/tex]

3) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex]

[tex]\frac{1}{n^{2} }[/tex]

[tex]4x^2+12x=32\\\\\implies x^2+3x=8\\\\\implies x^2 +2 \cdot \dfrac 32 \cdot x+\left(\dfrac 32 \right)^2 - \left(\dfrac 32\right)^2 =8\\ \\\implies \left(x+\dfrac 32 \right)^2 = 8 + \dfrac 94 = \dfrac{41}4\\\\\implies x+\dfrac 32 = \pm\dfrac{\sqrt{41}}2\\\\\implies x = \pm \dfrac{\sqrt {41}}2 - \dfrac 32\\\\\text{The roots are}~ x = -\dfrac 32-\dfrac{\sqrt{41}}2~ \text{and}~~ x = -\dfrac 32+\dfrac{\sqrt{41}}2[/tex]

Answer:

x = 44.5 due to the Triangle Angle Sum Theorem

Step-by-step explanation:

This is the Triangular Angle Sum Theorem.

This rule states that every angle inside the triangle has to equal 180.

This is a solve for x situation

2x + x + x + 2 = 180

Add all the x's first

3x + x + 2 = 180

4x + 2 = 180

Now subtract 2 both sides

4x = 180 -2

4x = 178

Divide 178 by 4

x = 44.5

You could verify by plugging 44.5 into the x's

2(44.5) + 44.5 + 44.5 + 2 = 180

89 + 44.5 + 46.5 = 180

Answer:

x = 44.5

Step-by-step explanation:

2x + x + (x+2) = 180

4x + 2 = 180

4x = 178

x = 44.5

Just saw your last comment :)

Let me know if you have any questions!

Answer: See below

Step-by-step explanation:

The function of the seat’s height from the ground level is given as,

[tex]h(t)=-1.1 \cos \left(\frac{2 \pi}{3} t\right)+3.1[/tex]

Here, t denotes the time.

(a) The height will be maximum or minimum when the derivative of the function of height is equal to zero.

[tex]\begin{aligned}h^{\prime}(t) &=0 \\\frac{d}{d t}\left(-1.1 \cos \left(\frac{2 \pi}{3} t\right)+3.1\right) &=0 \\-1.1 \times \frac{2 \pi}{3}\left(-\sin \left(\frac{2 \pi}{3} t\right)\right) &=0 \\t &=0,1.5\end{aligned}[/tex]

The height of the seat at time t = 0 s can be determined as,

[tex]\begin{aligned}h(0) &=-1.1 \cos \left(\frac{2 \pi}{3}(0)\right)+3.1 \\&=2 \mathrm{ft}\end{aligned}[/tex]

Therefore, the maximum height of the swing is 4.2 ft and the minimum height of the swing is 2 ft.

(b) The height of the swing is given as,

[tex]\begin{aligned}h &=3 \mathrm{ft} \\-1.1 \cos \left(\frac{2 \pi}{3} t\right)+3.1 &=3 \\t &=0.7 \mathrm{~s}\end{aligned}[/tex]

Therefore, the first time after t = 0 s that the swing’s height of 3 ft is 0.7 s.

(c) The height of the swing is given as,

[tex]\begin{aligned}h &=3 \mathrm{ft} \\-1.1 \cos \left(\frac{2 \pi}{3} t\right)+3.1 &=3 \\\frac{2 \pi}{3} t &=1.47976+2 \pi \\t &=3.7 \mathrm{~s}\end{aligned}[/tex]

Therefore, the second time after t = 0 s that the swing’s height of 3 ft is 3.7 s.

Answer:

No No No No No No No No No No No No No

Answer:

  see attached

Step-by-step explanation:

The values are plotted on the number line attached.

__

Each value is represented on the list both as a fraction and as a decimal. Equal values map to the same point on the number line.

  0.27 = 27/100

  0.49 = 49/100

  0.75 = 75/100

The location on the number line is found by effectively dividing the distance between 0 and 1 into 100 parts, then locating the point on the corresponding division. The attached number line shows the interval divided into 50 parts, so the given values will lie halfway between the grid marks on this number line.

Answer:

$1225

$33,775

Step-by-step explanation:

Given:

To find a percentage of an amount, convert the percentage into a decimal and multiply it by the amount:

3.5% = 3.5/100 = 0.035

⇒ Decrease in price = 0.035 × 35000 = $1225

Price of next model = price of current model - decrease in price

                                 = 35000 - 1225

                                 = $33,775

Decrease amount:-

So

New price:-

Answer:

30

Step-by-step explanation:

When solving the perimeter you add up all the numbers on the outside of the shape

Answer:

v = length x width x hight

Based on the outside angles theorem, the value of x is: 42°

The outside angles theorem states that the measure of the angle that is formed outside a circle when two tangents or secants intersect is half the measure of the diffrence of the intercepted arcs.

Given the following:

Therefore, based on the outside angles theorem, we would have the following:

x = 1/2(222 - 138)

x = 42°

Learn morea about outside angles theorem on:

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Answer:

Choice A.  (10, -1)
Choice B.  (-8, 9)
Choice D.  (6, -3)

Step-by-step explanation:

If we plug the coordinates of point A into the inequality, then we get,
x+y > -2

10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers.
Choices B and D are also answers for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
Which is false.
You should find that choice E is false as well.

If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.

Answer:

7 nights

Step-by-step explanation:

If he does 1/3 every night then you must turn 2 1/3 into a mixed fraction.

7/3

Then divide.

7/3 by 1/3

your answer is 7/1 or just 7 nights

Just divide

No of nights

He need 7 nights

Answer:

28?

Step-by-step explanation:

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    [tex]?^2+6^2 = 10^2\\?^2 + 36 = 100\\?^2 = 64\\? = 8[/tex]

Thus the missing side length is 8 cm

Hope that helps!

Answer:

[tex] \displaystyle{ \sqrt{ \frac{1 + cos \: {30}^{ \circ} }{1 - cos \: {30}^{ \circ} } } = sec \: {60}^{ \circ} + tan \: {60}^{ \circ} }[/tex]

[tex]LHS = \displaystyle{ \sqrt{ \frac{1 + cos \: {30}^{ \circ} }{1 - cos \: {30}^{ \circ} } } }[/tex]

[tex] \displaystyle{ \sqrt{ \frac{1 + \frac{ \sqrt{3} }{2} }{1 - \frac{ \sqrt{3} }{2} } } }[/tex]

[tex] \displaystyle{ \sqrt{ \frac{ \frac{2 + \sqrt{3} }{2} }{ \frac{2 - \sqrt{3} }{2} } } }[/tex]

[tex] \displaystyle{ \sqrt{ \frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } } }[/tex]

[tex] \displaystyle{ \sqrt{ \frac{(2 + \sqrt{3} {)}^{2} }{4 - 3} } }[/tex]

[tex] \displaystyle{2 + \sqrt{3} }[/tex]

[tex]RHS = sec \: {60}^{ \circ} + tan \: {60}^{ \circ} [/tex]

[tex] = 2 + \sqrt{3} [/tex]

[tex] \rm\therefore{LHS=RHS,proved. }[/tex]

Answer:

Step-by-step explanation:

Answer:

x > 8

Step-by-step explanation:

5x > 40

40/5 = 8

x> 8

subtract 14

divide by 5