A quadrilateral has two angles that measure 63° and 154°. The other two angles are in a ratio of 4:9. What are the measures of those two angles?

Answers

Answer 1

Answer:

44° and 99°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Subtract the 2 given angles from 360° to find the remaining sum

360° - (63 + 154)° = 360° - 217° = 143°

The 2 angles which sum to 143° are in the ratio 4 : 9

sum the parts of the ratio, 4 + 9 = 13 parts , then

143° ÷ 13 = 11° ← value of 1 part of the ratio, so

4 parts = 4 × 11° = 44°

9 parts = 9 × 11° = 99°

The other 2 angles are 44° and 99°


Related Questions

PLS HELP Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid’s weight, Pythagoras’s weight would still be 1 4 pound less than he did in January. What is Euclid’s weight? (a) Write an equation that represents the scenario. Begin by defining your variable. (b) Solve the equation. Show your work. (c) What is Euclid’s weight? (d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined weight of the three dogs is 1 60 2 pounds. What is Riemann’s weight, and what is Pythagoras’s weight? Show your work.

Answers

Answer: (weight = w)

This is a lot to answer but. (A)  (13 x 1.2) - 14 = w

w = 1.6

Step-by-step explanation:

What is the approximate value of x?

Answers

Answer:

25

Step-by-step explanation:

Answer: The answer is 25.

Have a great Day/Night!

True or false: (log x)2 = 2logx. Explain your thinking.

Answers

False
Well we can’t put 2 log x it’s opposite it’s 2 x log

how many students are in the year group?

Answers

Answer:

372

Step-by-step explanation:

How many students attended school in recent years? In fall 2020, about 48.1 million students attended public schools in kindergarten to grade 12, ...

Missing: group ‎| Must include: group

Identify the solution set of the inequality, using the given replacement set.


x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}
{–10, –4.3, –4}

1.{–10, –4.3, –4}


2.{–4, –3.9, 2}


3.{–10, –4.3}


4.{–3.9, 2}

Answers

Step-by-step explanation:

es el número 4[-3.9,2] esta es la respuesta

Which graph is defined by the function given below?
y = (x-3)(x-3)

Answers

Answer: graph b

Step-by-step explanation:

Vertex:  ( 3 ,0 )

Focus:  ( 3 , 1 4 )

Axis of Symmetry:  x = 3

Directrix:  y = − 1 4

Geraldo and Raul are participating in a relay for charity. Geraldo rides his bike 12​ miles per hour. Raul rides his bike 10​ miles per hour. Together, they travel a total distance of 34​ miles.

Answers

We know

[tex]\\ \sf\Rrightarrow Speed=Distance/Time[/tex]

[tex]\\ \sf\Rrightarrow Distance=Time\times {Speed}[/tex]

Let hours be x

[tex]\\ \sf\Rrightarrow 12x+10x=34[/tex]

[tex]\\ \sf\Rrightarrow 22x=34[/tex]

[tex]\\ \sf\Rrightarrow x=34/22[/tex]

[tex]\\ \sf\Rrightarrow x=17/11[/tex]

[tex]\\ \sf\Rrightarrow x=1.5h[/tex]

Help me plsss pls psl​

Answers

It’s b
it’s not A because it’s not percentages it’s decimals using boxes as an example

Answer: A, B, D

it can’t be “C” because that would be equal to 40%

Ethan was simplifying 3xl(-2xl + 1)2 State and correct the error below
3xl(-2x1 + 1)
(-6x²/²+3x1²
(-6x?[2 + 3x1)(-6x12 + 3xl)
-36X414 - 18x13 – 18x13 + 9x²12
-36X*1* 36x12 + 9x212
-36x* (1) – 36x®(-1) + 9x?(-1)
36x4 + 36x°– 9x2

Answers

Answer the mathematical

If the sum of the roots of the equation 3x² + kx + 1 = 0 is 7. then what the value of k​

Answers

Answer:

The value of k is -21

Step-by-step explanation:

ax² + bx + c = 0

Sum of the roots = -b/a

3x² + kx + 1 = 0

= sum of the roots = -k/3

-k/3 = 7

Now, Multiply both side by (-3) we get,

(-3)-k/3 = 7(-3)

k = -21

Thus, The value of k is -21

-TheUnknownScientist 72

35. What is the 40th term of the arithmetic sequence
-17,-47, -77, -107...

Answers

Answer:

40th term = -1187

                 

Write an expression that represents the perimeter of the figure below. Write your answer in simplified form. P=??​

Answers

The perimeter of the figure in simplified form is expressed as: P = 2p + 2q + 2r + 4s

How to find the Perimeter of a Figure

To find the perimeter of any figure, add all the side lengths of the figure together.

Thus, the given side lengths of the figure are:

p, p, q, q, r, r, s, s, s, and s.

To find the perimeter add them together.

Perimeter of the figure = p + p + q + q + r + r + s + s + s + s

Perimeter = 2p + 2q + 2r + 4s

Therefore, the perimeter of the figure in simplified form is expressed as: P = 2p + 2q + 2r + 4s

Learn more about perimeter on:

https://brainly.com/question/24382052

What is the domain of the function?
Enter your answer in the box.
demos.

Answers

Answer: the x or the input of a function

Step-by-step explanation:

The x is domain of the function

Lincoln middle school had a canned food drive. The 6th grader brought in 5.75

Answers

So the Lincoln middle school will have +5.75 pounds or ounces of ffod

how to simplify -5 1/4 - (-7 1/2

Answers

(hopefully I read this right)

-5 1/4 - (-7 1/2)

-5 1/4 - -7 1/2

-5 1/4 - -7 2/4

-21/4 - -30/4

-21/4 - -30/4 = 9/4 = 2 1/4

Hopefully I am correct!

I need a answer as soon as possible

Answers

Answer:

67

Step-by-step explanation:

Because 180-113 is 67.

Answer:

67°

Step-by-step explanation:

A line is 180° so subtract the 113°

180 - 113 = 67°

hope that helps and have a great day :D


f(x) = -x - 14
Find x if f(x) = -2

Answers

Answer:

x = -12

Step-by-step explanation:

First, you want to plug in f(x)'s value into the equation.

-2 = -x-14

Then solve for x:

x=-14+2

x=-12

What part of 28 is 17?

Answers

17 is 60.7% percentage of the number 28.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

We have to find what is 17 in 28.

To find this we have to multiply x with 100 and divide it by hundred which is equal to seventeen

x/100×28=17

0.28x=17

Zero point two eight times of x equal to seventeen

Divide both sides by 0.28

x=17/0.28

We get sixty point seven one percentage

x=60.71%

Hence,17 is 60.7% percentage of the number 28.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ2

HELP PLEASE..........

Answers

Answer:

19.47

Step-by-step explanation:

Use the law of sines.

sin(90)/6 = sin(x)/2

Multiply both sides by 2

2 * sin(90)/6 = sin(x)

Use a calculator

0.33333 = sin(x)

sin^-1 0.3333 = 19.47

Please answer this question Step by Step method.

If it is correct you will get a thank you and 5 stars from me.

Answers

Answer:

see explanation

Step-by-step explanation:

The perimeter P is the sum of the 4 sides of the rectangle.

The opposite sides of the rectangle are congruent , then

P = 2x + 1 + 2x + 1 + x + x ← collect like terms

P = 6x + 2

can someone help me with this

Answers

Answer:

b

Step-by-step explanation:

Which correlation coefficient best matches the graph?

Answers

Answer:

The correlation coefficient r measures the direction and strength of a linear relationship. Calculating r is pretty complex, so we usually rely on technology for the computations. We focus on understanding what r says about a scatterplot.


You roll a six sided die. You are given $8 if a 6 comes up, $2 if a 3, 4, 5 comes up, and
nothing otherwise. Find the expected value of the entries.
Expected Value Table for rolling a six-sided die

Answers

We want to get the expected value for the given experiment. We will see that the expected value is $2.33

For an experiment with outcomes {x₁, ..., xₙ} each one with probability {p₁, ..., pₙ} the expected value is defined as:

EV = x₁*p₁ + ... + xₙ*pₙ

Here we have 3 outcomes:

x₁ = winning $8x₂ = winning $2x₃ = winning $0.

For x₁ we need to roll a 6, this is a probability of 1 out of 6, then:

p₁ = 1/6

For x₂ we need to roll a 3, 4, or 5 (3 out of 6), then:

p₂ = 3/6

For x₃ we need to roll a 1 or a 2 (2 out of 6) so the probability is:

p₃ = 2/6

Then the expected value is:

EV = $8*(1/6) + $2*(3/6) + $0*(2/6) = $2.33

If you want to learn more about expected values, you can read:

https://brainly.com/question/15858152

Is -9 a real or imaginary number?

Answers

A real number is a number that can represent any continuous quantity.It includes both rational and irrational numbers.Since, -9 is a rational number, then it is a real number.

Answer:

-9 is a real number.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Elissa got a manicure and pedicure for $40. If she wants to give a 20% tip, how much would the tip be?​

Answers

Answer:

$8.01

Step-by-step explanation:

you multiply 40 with 0.20, and then add the answer of that (8) to the original price (40). so then the answer would be 48!

Describe the possible length of the third side of the triangle given that the links of the other two sides of 5 inches and 12 inches

___in.

Answers

Answer:

60

Step-by-step explanation:

your welcome

To attend a class field trip, each student will have to pay 3$ for a theater ticket and $2.50 for transportation. If there are 200nstudents in the class, how much money will be collected for the field trip?​

Answers

Answer:

1100

Step-by-step explanation:

because everyone will be giving 5.5 dollars and if you multiply that with 200 you get 1100

Answer:

1,100

Step-by-step explanation:

answer for this question plz

Answers

Step-by-step explanation:

in that case we can imagine a diagonal line DB that splits the quadrilateral into 2 right-angled triangles: ADB and CDB.

the area of the quadrilateral is then the sum of the areas of the 2 triangles.

the area of a right-angled triangle is

leg1 × leg2 / 2

with the legs being the sides that enclose the 90 degree angle.

so, for ADB we get

AD × AB / 2 = 3 × 11 / 2 = 33/2 = 16.5

for CDB we get

BC × CD / 2 = 7 × 9 / 2 = 63/2 = 31.5

so, in total for the area of the quadrilateral we get

16.5 + 31.5 = 48

Job bakes 48 cupcakes and 60 cookies. What is the biggest number of cupcakes and cookies that can be placed in boxes if these are of the same number? 

pls answer it i really need it now
bonus big pts
if nonsense I'll report you​

Answers

Answer:

12

Step-by-step explanation:

You need the GCF of 48 and 60

48 = 2 x 2 x 2 x 2 x 3

60 = 2 x 2 x 3 x 5

Both have 2 x 2 x 3, so the answer is 12

800 students were surveyed to find out their favorite subject. 35% chose Math. How many students chose Math?

Answers

Answer:

35% of 800 = 280

...........

35 divided 100 of 800. Or
35% by 800 = 280
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