What is m∠P? There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.

Answers

Answer 1

Answer:

94°

Step-by-step explanation:

There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.

Sum of angles in a pentagon = 540°

Hence:

PQR + QRS + RST +STP + TPQ = 540 °

132 + (4x-10)° + (5x-11)° + 128° + (4x+2) degrees = 540°

132 + 4x - 10 + 5x - 11 + 128 + 4x + 2 = 540

132 - 10 - 11 + 128 + 2 + 4x + 5x +4x = 540°

241 +13x = 540

13x = 540 - 241

13x = 299

x = 299/13

x = 23

What is m∠P?

m∠P in Pentagon PQRST = TPQ

TPQ = 4x + 2

= 4 × 23 + 2

= 94°


Related Questions

Simplify x/4 + x/6 help please

Answers

Answer:

5/12x

Step-by-step explanation:

a person can pay 14$ for a membership to the science museum and then go to the mesum for just 1$ per visit what is the maxium number of visits a member of the science museum can make for the total cost of 43$

Answers

Answer:

I think 43 visits

Step-by-step explanation:

I hope this helps you and I hope this is right and have a wonderful day:)

Hello! I won't give you the answer but I'll show you an example to a similar question like that!

Okay, so what if: a person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. what is the maximum number of the art museum can make for a total cost of $18?

An easy way to solve this is to make an equation.

Let's call the number of times we can visit "x".

So, we pay $6 off the bat, and then pay $1 per visit after.

6+1x

That's the cost associated with visiting "x" number of times, now, we need to know how many times we can visit for 18, so we equate the expression to 18.

6+x=18

x=12

We can visit 12 times.

I hope this helps and that now you know the problem is supposed to be solved!

See ya later, pal!

A rectangular prism measures 7 & 1/2 cm by 12 cm by 15 & 1/2 cm. Calculate the number of cubes with edge length 1/2 cm that fit in this prism.

Answers

Answer: 8 cubes

Step-by-step explanation:

Volume of a rectangular prism is length × height × width

Length=7 1/2

Width= 15 1/2

Height=12

Volume of the prism is therefore:

7 1/2×12×15 1/2= 1395cm3

No of cubes with edge length 1/2 to fit into the prism will be:

Volume of cube is L*W*H

1/2*1/2*1/2= 1/8cm3

Therefore the no of cubes to fit into the Prism will be:

1395/(1/8)= 11160 cubes.

If one was stuck,the number of 1/2 edge length

cube to fit into 1cm will be:

1/(1/8)= 8 cubes

Can someone pls help me with this! I need help!!!


A ramp of 13 feet in length is constructed in front of a house that is at a height of 5 feet from the ground. What is the horizontal distance between the front door and the point where the ramp touches the ground?

Answers

If you picture it, it will be a right angled triangle. This means you can use the Pythagorean theorem.

The hypotenuse is 13ft and one side is 5ft

So....

13ft^2 - 5ft^2 = 144

Square root 144 to get 12

Therefore the distance is 12ft

Hope this helps! Any questions let me know :)

The horizontal distance between the front door and the point where the ramp touches the ground will be equal to 12 feet.

What is the Pythagoras' Theorem?

According to the Pythagoras theorem, if a triangle has a straight angle (90 degrees), the hypotenuse's square is equal to the total of its other two sides' squares.

As per the given information in the question,

Length of the ramp, h = 13 feet

Height of ramp from the ground, p = 5 feet

Let the horizontal distance is b.

Then, use the equation of Pythagoras' Theorem,

h² = p² + b²

13² = 5² + b²

b² = 169 - 25

b = √144

b = 12 feet.

To know more about Pythagoras' Theorem:

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What is .09375 as a fraction

Answers

Answer:

.09375 as a fraction is [tex]\frac{3}{32}[/tex]

0.09375 as a fraction in its lowest form is 3/32.

To convert the decimal number 0.09375 into a fraction, we can express it as the numerator over the appropriate power of 10 in the denominator.

The decimal number 0.09375 can be written as 9375/100000.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD).

In this case, the GCD of 9375 and 100000 is 3125,

So, we can divide both numbers by 3125:

= 9375 ÷ 3125 / 100000 ÷ 3125

= 3/32

Therefore, 0.09375 as a fraction in its lowest form is 3/32.

Learn more about Fraction here:

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What shortcut could you use to prove the triangles congruent?
O HL
O SAS
O ASA
SSS
OSSA
CNBD
O AAS

Answers

Answer:

AAS

Step-by-step explanation:

You can see that two angles and one side are congruent.

A chess club with 95 members is electing a new president. Tony received 57 votes. What percentage of the club members voted for Tony?

Answers

Answer:

40%

Step-by-step explanation:

Tony received a total of 57 votes. There are 95 members. 95 is 100%, 47.5 is 50%. From this we have go on and play with percentage number. Since I don't remember the exact rule or explanation rn. Hope this helped :)

Answer:

60%

Step-by-step explanation:

95x0.6=57

Percentage=60%

what was the price of 1 mug before the sale

Answers

tip

I need the hold thing to know the question like or the picture

Which gives the prices in order, from least to greatest

Answers

Answer:

is there a picture to go with the problem?

The question and possible answer are in the picture thank you!

Answers

Answer:

pretty sure its the first one

Step-by-step explanation:

Answer: m^8

Explanation:

➥ The base of a parallelogram is thrice its height. If the area is 897 sq.cm. Find the base and height of the parallelogram.

Answers

Answer:

The height of parallelogram is 51.87 cm

Step-by-step explanation:

Let The height of a parallelogram = a cm

Then

The base of a parallelogram = 3a cm

So by the given condition

3a×a = 897

3a^2 = 897

a^2 = 897/3

a^2 = 299

a = 17.29

So the height of parallelogram = 3×17.29= 51.87 cm

Please answer for brainliest and 10 points !!

Answers

Answer:

4 1/2 or -1 1/2

Step-by-step explanation:

1 1/3-3= -1 1/2

1 1/2+3=4 1/2

6.4n-10=4.4n+6 solve for n

Answers

Answer: n=8

Step-by-step explanation:

1. Subtract 4.4n on both sides:

2n-10=6

2. Add 10 on both sides:

2n=16

3. Divide both sides by 2:

n=8

Have a nice day :D

Can all arithmetic sequences be modeled by a linear function?

Answers

Answer:

yes

Step-by-step explanation:

"We can think of an arithmetic sequence as a function on the domain of the natural numbers; it is a linear function because it has a constant rate of change."

I WILL MARK BRAINLIEST
World Without Engines: Explain what todays world without engines would be like? How would it change your life? The world? The way we do things? Please write in paragraph format and include introduction, body, and conclusion.

Answers

A world without engines is certainly an appealing idea. Although engines are a vital transportation source that allow us to move around and travel much faster and efficiently, passenger vehicles are a major pollution contributor. they produce large amounts of carbon monoxide, nitrogen oxides, and other forms of pollution. Removing all engines would definitely have downsides, but the significant amount of help it would provide towards lowering pollution rates would be extremely impactful towards our environment and earth. Engines are important parts of human life, and getting things done faster is much more efficient, without engines humans would have to do many things by hand and it would slow production of many things that are necessities. There are also many situations regarding human lives that require the fastest transportation possible, and without engines many things wouldn't get done fast enough. In conclusion, a world without engines would have many benefits towards the environment, however, we've grown to be too dependent on these machines and without them production of many things would start to slow and many trips around the world would be near impossible or extremely delayed.

sorry about it being one big block, wasnt sure how u wanted it to be spaced. hope this helps atleast a little, gl

f(x) = x2 + 8, g(x) = 5x - 2.

Answers

Answer:

Step-by-step explanation:z

8 ounce 17.98 per pounds

Answers

Answer:

8 ounces, which is 0.5 pounds

Step-by-step explanation:

mark me brainlest if im correct

1. Evaluate
2

for x = 1
2
and y = 3


2. Nick is renting a car while his car is in the shop being repaired. His budget for the rental is at most
$120. If the cost to rent the car is $25 plus $.75 per mile how many mile can he drive it? Write and
solve an inequality

Answers

Answer:

Step-by-step explanation:

Help & explain answer pls

Answers

The solution is (-2,4) she right both have the same solution because if you solve both of them you will get (-2,4)


Solve for x.
And solve for Z

Answers

From Tales theorem:      [tex]\dfrac{8x-2}{2x+1}=\dfrac{3z+z+22}{3z}[/tex]

Solving for x:

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\12xz-3z=2x(2z+11)+1(2z+11)\\\\12xz-2x(2z+11)=3z+2z+11\\\\x(12z-4z-22)=5z+11\\\\x(8z-22)=5z+11\qquad\qquad\{divide\ both\ sides\ by\ (8z-22)\}\\\\x=\dfrac{5z+11}{8z-22}[/tex]

Solving for z:

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\(12x-3)(z)=(2x+1)(2z)+(2x+1)(1)\\\\(12x-3)(z)-(4x+2)(z)=(2x+1)\\\\\ [(12x-3)-(4x+2)](z)=(2x+1)\\\\(12x-3-4x-2)(z)=(2x+1)\\\\(8x-5)(z)=(2x+1)\qquad\qquad\{divide\ both\ sides\ by\ (8x-5)\}\\\\z=\dfrac{2x+1}{8x-5}[/tex]

Find the roots for y = (2x-3)(x+5) (The x values)

Answers

Answer:

x = [tex]\frac{3}{2} , -5[/tex]

Step-by-step explanation:

We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.

The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.

1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:

[tex]2x-3 = 0\\2x = 3\\x = \frac{3}{2}[/tex]

Therefore, [tex]\frac{3}{2}[/tex] is one of the roots.

2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:

[tex]x+5 = 0\\x = -5[/tex]

Therefore, -5 is a root as well.

The roots of the equation would be [tex]\frac{3}{2}[/tex] and -5.

Can somebody help me on this thanks

Answers

Answer:

Add 3/4 to both sides (the last option)

Step-by-step explanation:

Since you want to isolate f and the expression on one side is f - 3/4, you have to add 3/4 so that the -3/4 cancels out. When you do that, you also have to add 3/4 to the other side so that the equation stays balanced.

WEEEEEEEEEEEEEEEEEEEEEEE
PLEASE HELP

Answers

answer: 5b

the exponents basically cancel themselves out. :)

It is an EMERGENCY I NEED HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!

Answers

Question :

The sales tax rate in New Mexico is 5.125%. Select all the equations that represent the sales tax, t, you

would pay in New Mexico for an item of cost c?

A. t = 5.125c

B. t = 0.5125c

C. t = 0.05125c

D. t = c = 0.05125

(E. t = 5.025 c

 Answer:

C. t = 0.05125c

Step-by-step explanation:

First we have to understand the meaning of % sign. It is called percent or percentage. Where cent means 100. Now all we know that 100 cents make one dollar, that is why these 100 smaller units are called as cents.

Now if sales tax is 5.125 percent, remember that if there is $100 capital amount, it will be $5.125 tax.

Now how much would it be for $1?

simply, it will be $0.05125

Now for equation in option C

t = 0.05125 x 1

t = 0.05125

here you can see that the equation is satisfied.

So from this we can establish the equation that for any cost, the relation between tax and cost will be:

t = 0.05125c

Which ratio is equivalent to 8/6?

A. 3/24
B. 24/32
C. 32/24
D. 24/3

Answers

Answer:

C.

Step-by-step explanation:

Answer:

Answer: C. 32/24

Step-by-step explanation:

8 x 4 and 6 x 4

guys please help this is a math question

Answers

Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4[tex]y^{2}[/tex] = 6[tex]y^{2}[/tex] - 40

add 40 to both sides and subtract 4[tex]y^{2}[/tex] from both sides: 40 = 2[tex]y^{2}[/tex]

you get: 20 = [tex]y^{2}[/tex]

root square on both sides: [tex]\sqrt{20}[/tex] = [tex]\sqrt{y^{2} }[/tex]

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6[tex]y^{2}[/tex] -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5

three-fifth of the men in chemistry class have beards and two-third of the women have long hair.if there are 120 men in the class and 46 are not in the above groups, how many men and how many women are there in the class​

Answers

Answer:

30

Step-by-step explanation:

94. Juan is practicing archery using a simple circular target with a radius of 18 inches. The target's a bullseye has a circumference of 18pi inches. What is the area of the portion of the target that is not part of the bullseye?

Answers

Answer: 763.02 in^2

Step-by-step explanation:

For a circle of radius R, we know that:

The area is:

A = pi*R^2

the circumference is:

C = 2*pi*R

where pi = 3.14

We know that the circumference of the bullseye is 18*pi, then the radius of this circle is:

2*pi*R = 18*pi

2*R = 18

R = 18/2 = 9

The radius of the bullseye is 9 inches.

Now, the area of the target that is not part of the bullseye is equal to the difference between the area of a circle of radius 18in (the total target area) and a circle of radius 9in (the bullseye area)

This is:

A = pi*(18in)^2 - pi*(9in)^2 = 3.14*( (18in)^2 - (9in)^2) = 763.02 in^2

What is the area of the parallelogram?



36 m 2
18 m 2
24 m 2
72 m 2

Answers

Answer:

36m^2

Step-by-step explanation:

A=bh

=6m*6m

=36m^2

Divide £128 in the ratio 1:3​

Answers

Answer:

£32 : £96

Step-by-step explanation:

add the parts of the ratio, 1 + 3 = 4 parts

Divide the amount by 4 to find the value of one part of the ratio

£128 ÷ 4 = £32 ← value of 1 part of the ratio, then

3 parts = 3 × £32 = £96

£128 in the ratio 1 : 3 is £32 : £96

The amount, £128 when divided in the ratio 1:3 is; £32: £96.

Ratios

We are required to divide in the ratio 1:3;

Therefore, we must divide the total by (1+3); so that we have;

128/4

= 32.

Therefore, each unit is £32 and 3× £32 = £96.

The amount, £128 when divided in the ratio 1:3 is therefore; £32: £96.

Read more on Ratios;

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