What is m∠PTQ???????????

What Is MPTQ???????????

Answers

Answer 1

Answer:

m∠PTQ = 40°

Step-by-step explanation:

From the picture attached,

Two lines PS and RQ are intersecting each other at a point T.

Vertical angles formed at the point of intersection T will be equal in measure.

m∠PTQ = m∠STR and m∠PTR = m∠QTS

Therefore, (x + 28)° = (2x + 16)°

28 - 16 = 2x - x

12 = x

m∠PTQ = (x + 28)°                            

             = 12 + 28

             = 40°

Therefore, measure of angle PTQ is 40°.


Related Questions

find the measure of the angle marked with a? Using the inverse trig functions. Round your answer to the nearest degree.​

Answers

Answer:   52°

Step-by-step explanation:

[tex]\sin \theta=\dfrac{\text{side OPPOSITE of angle}}{\text{HYPOTENUSE}}\\\\\\\sin \theta =\dfrac{23}{29}\\\\\\.\quad \theta=\sin ^{-1}\bigg(\dfrac{23}{29}\bigg)\\\\\\.\quad \theta =52.47^o[/tex]

Rounded to the nearest degree: Ф = 52°

Step-by-step explanation:

Hey there!

Here;

The figure given is a Right angled triangle.

Let the unknown angle be a refrence angle.

Now,

p = 23

h = 29

In ratio of sin there is 'p' and 'h'. So, using sin ratio.

[tex] \sin( \alpha ) = \frac{p}{h} [/tex]

[tex] \sin( \alpha ) = \frac{23}{29} [/tex]

[tex] \alpha = { \sin}^{ - 1} (0.7931034)[/tex]

[tex] \alpha = 52.47°[/tex]

Therefore the the angle is 52°.

Hope it helps..

solve the equation 8x-2(x+1)=2(3x-1)

Answers

Answer:

All that equals 0.

(Both sides are equal)

I need help with this problem

Answers

Answer:

w= 12

Step-by-step explanation:

2w=24

divide both sides by 2

2w÷2. 24÷2

2w÷2 cancels each other so solve 24÷2

w= 12

3 people
9 granola bars
2
3 granola bars

Answers

Hi I need help with my work can you help me please

Answer:

U need to copy and paste more of the question

Step-by-step explanation:

Start copy at the top go all the way to the bottem of the question and paste into brainly.

use ctrl c for copy and crtl v for paste

x^3 = 125/27 simplify. a. 25/9 b. +- 25/9 c. 5/3 d+- 5/3​

Answers

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

x/3=125/27

x=125×1/27×3

Which choices are equivalent?

Answers

it would be B. D. and F.

Answer:

Solution:

Given expression is .

Option A:

     

     

Hence is equivalent expression of .

Option B:

     

     

Hence is not equivalent expression of .

Option C:

           

                (proved in option A)

Hence is equivalent expression of .

Option D:

         

Hence is not equivalent expression of .

Option E: 75

75 is a whole number.

Hence 75 is not equivalent expression of .

Option F:

           

                (proved in option A)

Hence is equivalent expression of .

Therefore, are all equivalent expressions of .

Step-by-step explanation:

RS = 5x, ST = 3x, and RT = 48

What is RS?

Answers

Answer:

draw line and name it as R, S and T

then,

RS= 5x

ST=3x.... label it

now,

5x+3x=48

8x=48

x=6

RS=5x6=30

Step-by-step explanation:

RS Means is a division of Reed Business Information that provides cost information to the construction industry so contractors in the industry can provide accurate estimates and projections for their project costs.

The length of RS is 6 units.

It is required to find the length of RS.

What is line?

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

RS= 5x

ST=3x

RT = 48

now,

RS+ST=RT

Substitute the value we get,

5x+3x=48

8x=48

x=6

RS=5x6

RS=30

Therefore, the length of RS is 6 units.

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Ken predicts that the average temperature will be −5°C in December. If he predicts the temperature will rise 6°C in January and fall 3°C in February, which of the following equations can he use to find the sum of the temperatures for those months? Check all that apply. [6 + 3] + 5 = 14 (–5) + [3 + 6] = –4 [(–5) + (–3)] + 6 = –2 5 + [(–6) + (–3)] = –4 [6 + (–5)] + (–3) = –2 [(–5) + 6 ] + (–3) = 4

Answers

Answer:

The equations [(-5) + (-3)] + 6 = -2 and [6 + (-5)] + (-3) = -2  he can use to find the sum of the temperatures for those months ⇒ 3rd , 5th

Step-by-step explanation:

i took the assignment

Answer:

C E

Step-by-step explanation:

I need help with this
1. 12 -

Answers

16 - 17/12m is the answer

Complete the equation.
(-1)^39=?

Answers

Answer:

  -1

Step-by-step explanation:

The total number of minus signs is odd, so the product is negative.

  (-1)^39 = -(1^39) = -1

Answer:

See below

Step-by-step explanation:

So for this one we can estimate

-1^1=-1

-1^2=1

-1^3=-1

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

And so on

The pattern shown here is that if it is odd then the answer is -1 and the answer is 1 if it is even

So think..

Is 39 odd or even?

39 is odd so the answer is -1

Also you can calculator it

uh- i'm having quite a bit of trouble solving this one. "If Bella's total is $82, and she spends $56.70 on confetti for a party, (i know, wack stuff there.)-- and $24.40 on food for the party, how much will she have left over for deserts?"

Answers

Answer:

.9

Step-by-step explanation:

just subtract 56.7 from 82 and that difference by 24.4

Answer:

$0.90

Step-by-step explanation:

She starts with $82 and you subtract the $56.70 spent on confetti, and subtract $24.40 she spent on food.

$82.00 - $56.70 - $24.40 = $.90

She only has 90cents ($.90) to spend on deserts

Write the equation of the line that passes through the point (-2, 4) and has a slope of -1.

Answers

y = -1x + 2

Put the points in the slope equation to find (-1 as m, -2 as x, and 4 as y)

y = mx + b

4 = -1(-2) + b

4 = 2 + b

4 - 2 = b

2 = b

Final equation: y = -1x + 2

ANSWER: Y=1x+2

EXPLANATION: the other guy said that was the answer

4n − m + 3p + 2m − n − p

Answers

Answer:

=4n−m+3p+2m−n−p

=4n-n-m+2m+3p-p

=3n+1m+2p is the answer

Step-by-step explanation:

hope it help ^_^

Find the unit rate.

64 ounces in 4 cans

Answers

Answer:

16 ounces per can

Step-by-step explanation:

64/4 oz = 4/4 cans

16 oz = 1 can

The unit rate is 0.16 ounces per can.

What is the value of the expression 5X minus Y when X equals three and Y equals one is it 14,10,7,0,

Answers

Answer:

14

Step-by-step explanation:

When x = 3 and y = 1,

5x - y works out to 5(3) - 1 = 14

PLEASE HELP ME OUT M

Answers

Answer:

what?

Step-by-step explanation:

Y=x^4 function or not a function?

Answers

Answer:

y=x^4 is a function

Explanation:

A function is defined as given an equation, there should be only one corresponding, y value for any x value. In the table from the picture you attached, it is shown as for each x value, there is one corresponding y value. Therefore, x^4 is a function.

The given expression y = x⁴ is a function.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

A function is defined as given an equation, there should be only one corresponding, y value for any x value. In the table from the picture you attached, it is shown as for each x value, there is one corresponding y value.

Therefore, the given expression y = x⁴ is a function.

To know more about a function follow

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Give the equation of the line through the point (14,6) with a slope of -9/7 in slope-intercept form

Answers

Answer:

Step-by-step explanation:

y - 6 = -9/7(x - 14)

y - 6 = -9/7x + 18

y = -9/7x + 24

1. Find the length of the missing side. Round your answer to the nearest
tenth if needed. *
x
12
9

Answers

Answer:

x = 15

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

a² = b² + c²

where

a is the hypotenuse

b and c are the other two sides

So we have

[tex] {x}^{2} = {12}^{2} + {9}^{2} \\ {x} = \sqrt{ {12}^{2} + {9}^{2} } \\ x = \sqrt{144 + 81} \\ x = \sqrt{225} [/tex]

We have the final answer as

x = 15

Hope this helps you

DIRECTIONS: EACH NUMBER IF 4 less than 3 TIMES THE PREVIOUS NUMBER.

Starting with the number 1, build a sequence of 5 numbers

Answers

Answer:

1, -1, -7, -25, -79

Step-by-step explanation:

n * 3 - 4

Since negative numbers multiplied with positive numbers make negative numbers, it decreases this time.

The sequence of 5 numbers for the given rule and inital number will be {1, -1, - 7, -25, -79}

What is arithmetic sequence?

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is

T_n = a + (n-1)d

(for all positive integer values of n)

Now we will use this formula to build the sequence;

A). Starting with the number 1, build a sequence of 5 numbers

n₂ = 3*(1) - 4 = -1

The third number will be:

n₃ = 3*(-1) - 4 = -3 - 4 = -7

The fourth number will be:

n₄ = 3*(-7) - 4 = -21 - 4 = -25

The fifth number will be:

n₅ = 3*(-25) - 4 = -79

Therefore, The sequence of 5 numbers for the given rule and inital number will be {1, -1, - 7, -25, -79}    

Learn more about arithmetic sequence here:

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Caitlin started with 18 stuffed animals and gave away x stuffed animals. Allie started with 30 stuffed animals and gave away three times as many stuffed animals as Caitlin did. How many stuffed animals did Caitlin give away, given they had the same number of stuffed animals left? 2 stuff animals 6 stuff animals 12 stuff animals 16 stuff animals

Answers

Answer:

6 stuffed animals

Step-by-step explanation:

If Caitlin gave away 6 stuffed animals, she is left with 12.

If Allie gave away three times as many as Caitlin, which would be 18, would leave her with 12.

The number of stuffed animals Caitlin gives away will be 6. Then the correct option is B.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Caitlin started with 18 stuffed animals and gave away x stuffed animals. Allie started with 30 stuffed animals and gave away three times as many stuffed animals as Caitlin did. Then the equations will be

y = 18 - x         ...1

y = 30 - 3x     ...2

From equations 1 and 2, then the value of x will be

18 - x = 30 - 3x

3x - x = 30 - 18

2x = 12

x = 6

The number of stuffed animals Caitlin gives away will be 6. Then the correct option is B.

More about the solution of the equation link is given below.

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When 40% of a number is added to the number, the result is 196.
What is the number?

Answers

Hey there! I'm happy to help!

Let's call this number n. We can now set up the following equation.

0.4n+n=196

We combine like terms.

1.4n=196

Divide both sides by 1.4

n=140.

Have a wonderful day! :D

How many gallons of a 60% antifreeze solution must be mixed with 70 gallons of 20% antifreeze to get a misture that is 50% antifreeze? Use the she-step method

Answers

Answer:

210 gaL 60 % Antifreeze II

Step-by-step explanation:

In the problem, there are two types of antifreeze

antifreeze I and

antifreeze II

antifreeeze I 20 ----70 gal

Antifreeze II 60 ----- x gal

Total 50 ---------------- (70 + x ) gal

20*70+60*x=50(70+x)

1400+60x=3500+50x

60x-50x=3500-1400

10x=2100

x= 210

x=210 gaL 60 % Antifreeze II

88,352 rounded to the nearest ten​

Answers

ANSWER:
88,352

EXPLANATION,
Remember your rounding rules 5 or above it goes up, anything below rounds down. Since we are talking about the tens we are looking at the 5 in this equation. 52 rounds down to 50

Type the correct answer in the box. Use numerals instead of words. Consider this expression. Vas – 7+ 161 When a = 2 and b = -4, the value of the expression is​

Answers

Correct Question:

Type the correct answer in the box. Use numerals instead of words. Consider this expression. [tex]\sqrt{a^2} - 7 + |b|[/tex] When a = 2 and b = -4, the value of the expression is​

Answer:

[tex]\sqrt{a^2} - 7 + |b| = -1[/tex]

Step-by-step explanation:

Given

[tex]a=2[/tex]

[tex]b = -4[/tex]

Required

Determine [tex]\sqrt{a^2} - 7 + |b|[/tex]

To solve this, we simply substitute the values of a in the given expression

[tex]\sqrt{a^2} - 7 + |b|[/tex]

[tex]\sqrt{a^2} - 7 + |b| = \sqrt{2^2} - 7 + |-4|[/tex]

Express 2² as 4

[tex]\sqrt{a^2} - 7 + |b| = \sqrt{4} - 7 + |-4|[/tex]

Express square root of 4 as 2

[tex]\sqrt{a^2} - 7 + |b| = 2 - 7 + |-4|[/tex]

[tex]|-4| = 4[/tex]

So, we have

[tex]\sqrt{a^2} - 7 + |b| = 2 - 7 + 4[/tex]

[tex]\sqrt{a^2} - 7 + |b| = -1[/tex]

Hence, the result of the expression is -1

A dekameter is best suited for measuring which distance?

Answers

Answer:

ten metres (please mark brainliest)

Step-by-step explanation:

A decametre (International spelling as used by the International Bureau of Weights and Measures), with American spelling dekameter or decameter,), symbol dam ("da" for the SI prefix deca-, "m" for the SI unit metre), is a unit of length in the International (metric) System of Units equal to ten metres.

What is the value of the expression below when z=8 and w = 8
2z+7w

Answers

Answer:

72

Step-by-step explanation:

2(8) + 7(8)

16 + 56

72

jenny solved the equation 1-(2x+4)=-4x+5 what her error

Answers

Step-by-step explanation:

1-(2x+4)= 1-2x-4= -2x-3

To write the polynomial 5x^4 + 8x^5 – 2x + 3 in standard form, which term is the leading term?

Answers

Answer:8x^5 is the leading term

Step-by-step explanation:

is 7 < sqrt(65) < 8 true or false

Answers

Answer:

false

Step-by-step explanation:

sqrt(65) ≈ 8.06

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