In AOPQ, m/O = (2x − 5)°, mZP = (3x − 8)°, and mZQ = (10x – 17)º.
-
What is the value of x?

Answers

Answer 1

Answer:

  x = 14

Step-by-step explanation:

You want the value of x in ∆OPQ, where ∠O = (2x − 5)°, ∠P = (3x − 8)°, and ∠Q = (10x – 17)º.

Angle sum theorem

The angle sum theorem tells you the sum of angles in a triangle is 180°. This means ...

  ∠O +∠P +∠Q = 180°

  (2x -5)° +(3x -8)° +(10x -17)° = 180° . . . . . use the given expressions

  15x -30 = 180 . . . . . . divide by °, collect terms

  x -2 = 12 . . . . . . . . . divide by 15

  x = 14 . . . . . . . . . . add 2

The value of x is 14.

__

Additional comment

The measures of the angles are ...

  O = 23°, P = 34°, Q = 123°


Related Questions

Please help.
Is algebra.

Answers

Answer:

say thank you please. the answer for question 1 is D and question 2 is C

Find the value of x in the following triangle​

Answers

Answer:

x = 124°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x = 180° - (32 + 24)° = 180° - 56° = 124°

3+p=8 what the answer??

Answers

Answer: 5

Step-by-step explanation:

Plz help me with this..........​

Answers

Answer: 18 also you are wellcome

18.

The median will be the average of the two middle numbers.

A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and 6 steaks. What is the experimental probability of pizza or steak?P(pizza or steak)

Answers

Answer:

To find the experimental probability you have to find the number of times the event occurred and the number of times the activity is preformed then divide the two numbers

Step-by-step explanation:

I’m not quite sure on the answer I believe it’s 1.3

have a great day!

brainliestif correct I need 4 more to rank up thanks!

What are the solutions to 4x^{2}-3x-2=0

Answers

Answer:

x = 1.175

x = -0.425

Step-by-step explanation:

Use quadratic formula (see picture)

a = 4

b = -3

c = -2

x = 1.175

x = -0.425

OR x = [tex]\frac{3 +/- \sqrt{41} }{8}[/tex]

-----------------------------

using factoring

4x^2-3x-2=0

The answer is 4x^2+3

what is the volume of the sphere is the radius is 1m

Answers

Answer:

If u consider Pi as 3.14 , the answer would be 4.18 .

Step-by-step explanation:

Hope it helps u , good luck ^.^

x + y = 8
2x2 – y = –5

Answers

Answer:

x=-2,y=10

Step-by-step explanation:

y=8-x.............equation 1

4-y=-5..........equation 2

Now,

putting the value of y in equation 2,

4-(8-x)=-5

4-8+x=-5

-3+x=-5

x=-5+3

x=-2

Then,

putting the value of x in equation 1

y=8+2

y=10

8 mm: 24 cm in its simplest form is

Answers

Answer:

1mm:3cm

Step-by-step explanation:

8mm:24cm

----------------     = 2mm:6cm

       4

2mm:6cm  divided by 2 equals 1mm: 3cm

The required simplest form of 8mm; 24cm is 1mm; 3cm.

We have to determine, the simplest form of 8 mm: 24 cm.

To obtain the simplest form of the equation calculation must be done in a single unit following all the steps given below.

The ratio is just a way to compare two quantities while the proportion is an equation that shows that two ratios are equivalent.

Here, 8 mm: 24 cm.

Therefore,

[tex]8mm \ ; 24cm[/tex]

Divided by 8 both sides,

[tex]= \dfrac{8mm}{24cm}\\\\= \dfrac{1mm}{3cm}[/tex]

Hence, The required simplest form of 8mm; 24cm is 1mm; 3cm.

To know more about the Time period click the link given below.

https://brainly.com/question/22009602

What is 2x + 10 = 2y + 5?

Answers

Answer:

x=y+-5/2

Step-by-step explanation:

Let's solve for x.

2x+10=2y+5

Step 1: Add -10 to both sides.

2x+10+−10=2y+5+−10

2x=2y−5

Step 2: Divide both sides by 2.

2x

2

=

2y−5

2

x=y+

−5

2

Using the same spinner and die from the problem above, what is the probability of not spinning a blue, and then not rolling a five?

Answers

This is the answer to your question


Miguel will spend at most $30 on gifts. So far, he has spent $12. What are the possible additional amounts he will spend?

Answers

Answer:

everything that adds up to 18

Step-by-step explanation:

Answer:

I believe the answer is $18. He will spend at most $30 and he has already spent $12. The possible additional amounts he can spend is $18 since:

30 - 12 = 18

Step-by-step explanation:

(Maybe I got confused with the question, so im not confident that its correct.

I hope it helps!)

Can someone please help with this?

Answers

Answer:

Distance over Speed (Option 2)

Step-by-step explanation:

Clculating how long it takes to travel from one place to another requires the formula T= d/s

please give a detailed explanation, im genuinely trying in this class​

Answers

Answer:

C) [tex]\frac{\sqrt{6} }{14}[/tex]

Step-by-step explanation:

We multiply the conjugate (7 √2) with the denominator and numerator:

[tex]\frac{\sqrt{3} }{7\sqrt{2} } *\frac{-7\sqrt{2}}{-7\sqrt{2}} \\\\\frac{\sqrt{6} }{14}[/tex]

I also just used my calculator and it gave me this

Ryan says that a rectangle is a square because it has 4 right angles. Addy says that a rhombus is a square because it has 4 equal sides. Part A Who is correct? A. Only Addy B. Only Ryan C. Both Ryan and Addy D. Neither Ryan nor Addy Part B How are rectangles and squares related? Use the drop-down menus to complete the explanation. All Choose... are Choose... , but only Choose... with 4 equal sides are Choose...

Answers

Answer:

D. Neither Ryan nor Addy

Step-by-step explanation:

Square:

A square is a quadrilateral that has equal sides and all angles equal to 90 degrees.

Rectangle:

A rectangles is a quadrilateral that has equal or unequal  sides and all angles equal to 90 degrees. All rectangles are not squares.

Rhombus:

A rhombus is a quadrilateral that has equal sides and all angles may or may not be  equal to 90 degrees. All squares are rhombus. But all rhombus are not squares.

As both Ryan and Addy have missed out one property of square therefore both of them are incorrect.

let f(x) = x-4 and g(x) = (x-4)^3
find the sum of the area enclosed by the graphs
Of F and g between x=3 and x=5

Answers

X=3 x 4 = 57 is the answer

Solve.
Pls Need Help

Answers

Answer:

3/8

Step-by-step explanation:

Since the greatest is 3 1/2 and the least it 3 1/8

3 1/2 - 3 1/8 = 3/8

i cant solve this help –8x + 15 < 71

Answers

Answer:

x > -7

Step-by-step explanation:

Isolate the variable, x. Treat the < sign like an equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

First, subtract 15 from both sides:

-8x + 15 (-15) < 71 (-15)

-8x < 71 - 15

-8x < 56

Next, divide -8 from both sides of the equation. Note that when you divide by a negative number, you must flip the sign:

(-8x)/-8 < (56)/-8

x < (56)/-8

x > -7

x > -7 is your answer.

~

Answer:

Any number greater than but excluding -7.

Step-by-step explanation:

-8x + 15 < 71

-8x < 71 - 15

-8x < 56

56 divided by -8 = -7

So, that means anything greater than -7 would result in a lower number than 71.

Hope with a question

Answers

Answer:

(3,7)

Step-by-step explanation:

which is a proper number ?

A. 2/3
B. 3/2
C. 1 2/3
D. 3/3

Answers

Answer:

try a if not d

Step-by-step explanation:

A poster is 3 feet long and 30 inches wide. What is the area, in feet, of the painting?

Answers

Answer:

90 feet

Step-by-step explanation:

30x3=90

Answer:

7.5 feet

Step-by-step explanation:

Convert inches to feet

30 inches as feet would be 2.5 feet

Multiply

3×2.5=7.5

In addition to tuition, what other costs should you plan for when considering what college to attend?

Answers

Answer:

the college application, housing expenses if you're on campus, food and groceries, extra money if you need textbooks, there's so much more too

Please help me I can’t figure it out NO LINKS
LINKS=REPORT

Answers

Answer:

x = 3

y = 8

Step-by-step explanation:

ok we will substitute

y = x + 5

into the second equation

4x + y = 20

4x + (x + 5) = 20

5x + 5 = 20

5x = 15

x = 3

y = x + 5 = 3 + 5 = 8

Answer:

4(3)+y=20

Step-by-step explanation:

4*3=12

Y= 3+5

3+5=8

12+8=20

Kelly and Brandon have a combined age of 32.
They have an age difference of 6 (Kelly is older).
Write a system of equations to find out how old Kelly is
and how old Brandon is.

Answers

Answer:

Kelly is 19; Brandon is 13

Step-by-step explanation:

k + b = 32.  Also:  k = b + 6.

Substituting b + 6 for k in the first equation, we get b + 6 + b = 32, or

2b = 26.  Then b must be 13, and k must be 13 + 6, or 19.

Kelly is 19; Brandon is 13.

Answer:

Brandon is 13, Kelly is 19.

Step-by-step explanation:

Let's set up our equations.

Kelly and Brandon have a combined age of 32.

K + B = 32

They have an age difference of 6. Kelly is older.

K - B = 6

Let's shift the equation around a little.

K - B = 6

Add B to both sides.

K = B + 6

Now let's plug K into our first equation.

K + B = 32

(B + 6) + B = 32

Combine like terms.

2B + 6 = 32

2B = 26

Divide both sides by 2.

B = 13

Now that we know Brandon is 13, we can find Kelly's age.

K + B = 32

K + 13 = 32

K = 19

Kelly is 19.

Hope this helps!

Find the area, use 3.14 for pi

Answers

Answer:

113.04

Step-by-step explanation:

The formula for the area of a circle is A=(pie)r²

So the equation is 3.14 x 6² = 113.04

What would be different if you started your day with a feeling of being in control?

Answers

it would make me feel like i’m somebody and i have power(for good use)

Answer:

I would feel like I have a lot of power and I would use that to try to help people.

Can I get some help pls and no links pls i'm getting tired of getting links

Answers

53.2

40%=.4
.4 times 38 = 15.2
15.2+38=53.2

Thank me later

hii!! please help!!

Answers

don't use link u will get a virus

Answer:

im not sure try use calculater

Step-by-step explanation:

Rhianna took a total of 10 pages of notes during 2 hours of class. In all, how many hours will Rhianna have to spend in class before she will have a total of 15 pages of notes in her notebook? Assume the relationship is directly proportional.

Answers

Answer:

Step-by-step explanation:

if 10 pgs = 120 mins

then 15 pgs = 15 × 120÷10

                 =1800÷10

                = 180 mins

if 60 min = 1 hr

then 180 min = 180×1÷60

                      = 3 hrs

thus it will take her 3hours

10 pages 2 hrs
15 pages x hrs
x=15•2/10
x=3 hrs

A rectangle and a triangle have the same area.
The dimensions of the rectangle are 3 cm and 10 cm. The base of the triangle is 6 cm.
What is the height of the triangle? How do you know?

Answers

Answer:

Height of the triangle = 10 cm

Step-by-step explanation:

Given:

Dimensions of rectangle = 3 cm , 10 cm

Base of triangle = 6 cm

Find:

Height of the triangle

Computation:

Given that area of rectangle is equal to area of triangle

So,

(l x b) = (1/2)(b)(h)

(3 x 10) = (1/2)(6)(h)

30 = 3(h)

h = 10

Height of the triangle = 10 cm

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