Two angles of a quadrilateral measure 210° and 20°. The other two angles are in a ratio of 6:7. What are the measures of those two angles?

Answers

Answer 1

Answer:The sum of first angle second angle =150

⇒  The ratio of third and fourth angle is 2:3

⇒  Let third angle fourth angle be 2x and 3x.

Step-by-step explanation:

150 +2x+3x=360

⇒  5x=210

⇒  x=42

⇒  Now, 2x=2×42

=84

⇒  3x=3×42

=126  

⇒  The measure of two angles are 84

 and 126

PLEASE GIVE BRAINLIEST

Answer 2

Step-by-step explanation:

Sum of angles of quadrilateral = 360 degree

so 210+20+6x+7x = 360

230+13x= 360

13x= 360-230=130

x= 130/13=10

so third angle =6x= 6*10=60 degree

and 4th angle= 7x= 7*10=70 degree


Related Questions

1) (0,-3) (-2,-4) find the slope

Answers

Therefore , the solution of the given problem of slope comes out to be  

M = 1/2.

What is a slope?

What determines a line's steepness is its slope. Gradient overflow is a mathematical expression for the gradient. The slant is the proportion of both the vertical difference (rise) over the distance between two locations to the lateral change (run) over the same distance. Hill form of an equation is used to express a straight line's equation, which is written as y = mx + b. A point on the line where the slope is m, b equals a, and the y-intercept is placed is (0, b). An illustration would be the slope and y-intercept of the formula y = 3x - 7 (0, 7). At the location of the y-intercept, the line has a slope of m, b, and c.

Here,

Given : (0,-3) and (-2,-4)

Thus,

To calculate the slope ,

We use formula:

=> M = y2 -y1 /x2-x1

=> M = -4 -(-3) / -2 - 0

=> M = -1 /-2

=> M = 1/2

Therefore , the solution of the given problem of slope comes out to be  

M = 1/2.

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Improper fraction for 4 1/5

Answers

You multiply the denominator (5) by the big number (4) to get 20 then add the numerator which is one so 20+1=21 so the answer is 21/5

Please help me ASAP!!!

Answers

graph g seems to be steeper than graph f. green is g. red is f.

please help !!!!:!:):):$:)

Answers

The correct answer is B

Answer: B. 9(−7+10x^2)

Step-by-step explanation: 9(−7+10x^2)

=(9)(−7+10x^2)

=(9)(−7)+(9)(10x^2)

=−63+90x^2

A certain library charges a late fee of $0.05 for each day that a book is
late. Last month, 158 people returned books that were 7 days late.
This month, 40 less people than last month will return books that are 7
days late. How much will the library collect in late fees this month for
returned books that are overdue by 7 days?

Answers

Answer: $41.3

Step-by-step explanation:

this month late = 158 - 40 = 118

7× $0.05 = $0.35

118 × $0.35 = $41.3

-6+(-2) pls help me.

Answers

Answer:

-8

Step-by-step explanation:

-6+(-2)

-6 - 2

= -8

-8

6+2=8

Then make it negative

Therefore the answer is -8

Mark me brainliest

what is square root
[tex]what is \: square \: root \: of \sqrt{81} [/tex]

Answers

Answer:

9 :)

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Hugo began his science experiment with 22 grams of sugar crystals. During the experiment, the change in the mass of the sugar crystals was

6 grams.
What is the final mass of the sugar crystals?

Answers

Answer:

I don't think there's enough information here to answer your question

△ABC, BD &CE are the altitude of the ide AC & AB and BD=CE. Prove that △BCD≅△CBE

Answers

We have proved that △BCD≅△CBE.

What are congruent triangles?

Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.

By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.

It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC

So, In right triangles BCD and CBE

BC=CB=common side⋯⋯[hypotenuse]

And BD=CE=given⋯⋯[sides of right triangles]

So, by RHS condition

△BCD≅△CBE.

Hence, we have proved that △BCD≅△CBE.

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We have proved that △BCD≅△CBE.

What are congruent triangles?

Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.

By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.

It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC

So, In right triangles BCD and CBE

BC=CB=common side⋯⋯[hypotenuse]

And BD=CE=given⋯⋯[sides of right triangles]

So, by RHS condition

△BCD≅△CBE.

Hence, we have proved that △BCD≅△CBE.

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PLISSSS HELP IS FOR A TEST!!!!

The vertices of quadrilateral MNPQ are M(28, 1), N(3, 4), P(7, 21), and Q(24, 24).
a. The coordinates of M' are (16,4) after a translation. State the translation rule.
b. Use GeoGebra to complete a 90° rotation around the origin

Answers

Answer:

56=78b

Step-by-step explanation:

The vertices of quadrilateral MNPQ are M(28, 1), N(3, 4), P(7, 21), and Q(24, 24).

a. The coordinates of M' are (16,4) after a translation. State the translation rule.

b. Use GeoGebra to complete a 90° rotation around the origin

Find the area. The figure is not drawn to scale. Please show work

Answers

Answer:

I believe it is 27.6

Step-by-step explanation:

I'm not really sure, I just multiplied. Hope this helps.

A seventh grade class and 7 adults go on a field trip. Two-thirds of the people ride on a bus.
Everyone else rides in vans. If 54 people ride on the bus, how many seventh graders go on the
field trip?

Answers

54 individuals take the bus while the remaining 74 seventh graders ride in vans for the field trip.

what is expression ?

A mathematical expression is a sentence with at least two variables or integers and one mathematical action. Addition, subtraction, multiplication, or division are all possible outcomes of this mathematical process. The following are the fundamental parts of an expression: Expression: (Math Operator, Number/Variable, Math Operator). A statement that has a least two numbers or variables, at least one mathematical operation, and is called a mathematical expression. Let's get acquainted with expressive writing. A number is 6 more than half of another number, which is known as x. This statement is written as x/2 + 6 in a mathematical expression.

given

To find P P, divide P

P by the total number of participants (students and chaperones), which is 81.

Seventh graders totaling 81 - 7 =

74 participated in the field trip.

54 individuals take the bus while the remaining 74 seventh graders ride in vans for the field trip.

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Sector of a circle has arc length 11cm and central angle. Find its radius and area.

Answers

Answer:

s = 11.cm

Θ = 2.2.radians

Step-by-step explanation:

Im a little stuck on this one yall

Answers

The pairs of alternate interior angles are <5<4 and <6<3

What is alternate interior angles ? Alternate interior angles are the pair of angles that are formed on the inner side of the two parallel lines but on the opposite side of the transversal.When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equalAlternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal. The transversal crosses through the two lines which are Coplanar at separate points.

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Help.

Cannot figure out fractions

Answers

Answer:

62 [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

A pet store has 15 puppies, 6 kittens, and 8 hamsters. Alice, Bob, and Charlie each want to buy a pet. For variety, they each want a different kind of pet. How many ways can Alice, Bob, and Charlie buy pets and leave the store satisfied

Answers

There are 24 ways for Alice, Bob, and Charlie to buy pets and leave the store satisfied. They could each buy a puppy, a kitten, and a hamster, or they could each buy a different combination of the three types of pets.

How many different pet options can Alice, Bob, and Charlie choose from before feeling satisfied?Alice, Bob, and Charlie can leave the pet store satisfied in 12 different ways.This can be shown using a combination equation, where n = the number of items (in this case, pets) and r = the number of selections (in this case, 3): C(n,r) = n! / (r! × (n - r)!). In this equation, n = 29 (15 puppies + 6 kittens + 8 hamsters) and r = 3 because Alice, Bob, and Charlie each have to select one pet.When plugging these numbers into the equation, the result is C(29,3) = 29! / (3! × (29 - 3)!) = 29! / (3! × 26!) = 8649 / 514880 = 12 different ways. Alice, Bob, and Charlie can each select a puppy, a kitten, and a hamster and leave the store satisfied in 12 different ways.Alice, Bob, and Charlie can buy pets and leave the store satisfied in 6 ways. Step 1: Alice can buy a puppy, Bob can buy a kitten, and Charlie can buy a hamster. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 2: Alice can buy a kitten, Bob can buy a hamster, and Charlie can buy a puppy. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 3: Alice can buy a hamster, Bob can buy a puppy, and Charlie can buy a kitten. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 4: Alice can buy a puppy, Bob can buy a hamster, and Charlie can buy a kitten. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 5: Alice can buy a kitten, Bob can buy a puppy, and Charlie can buy a hamster. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 6: Alice can buy a hamster, Bob can buy a kitten, and Charlie can buy a puppy. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. In sum, Alice, Bob, and Charlie can buy pets and leave the store satisfied in 6 ways. Each person can buy a different kind of pet and the store will still have the same number of pets afterwards.

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

D (4.34,3.22)

Step-by-step explanation:

Line Y (2,4), (-4,6)

**y=mx+b   slope-intercept form

  m=slope; b=y-intercept

[tex]m_Y=(6-4)/(-4-2)=2/-6=(-1/3)\\y=-1/3x+b[/tex]

plug in 1 point

[tex]4=-1/3(2)+b; b=14/3[/tex]

Line Z (8,8) (-5,9)

[tex]m_Z=(8-(-9))/(8-(-5))=17/3\\y=(17/3)x+b\\8=17/3(8)+b; b=-32/13\\[/tex]

Substitution

[tex]-\frac{1}{3} x +\frac{14}{3}=\frac{17}{13}x-\frac{32}{13} : x=139/32\\y=-\frac{1}{3}(\frac{139}{32})+\frac{14}{3}\\ : y=103/32[/tex]

factor the trinomial 2xsquared + 5x -42

Answers

Basic quadratic expression:

[tex]ax^2+bx+c[/tex]

[tex]2x^2+5x-42[/tex]

Factoring a quadratic expression when a ≠ 0

1.  Multiply a and c values (ac=k)

[tex]2(-42) = -84[/tex]

2. Find a factor pair whose sum adds to b and has the product of k

[tex]-7,12[/tex]  

[tex]-7(12)=-84[/tex]           [tex]-7+12=+5[/tex]

3. Replace the middle term (bx) with newfound values

[tex]2x^2 +12x-7x-42[/tex]

4. Factor by grouping

[tex]2x(x+6) -7(x+6)[/tex]

if done correctly the expression in the parentheses will be the same

5. Perform the last factorization

[tex](2x-7)(x+6)[/tex]

you can verify your answer by expanding the factors to get the same expression in the beginning

Write 4.35^5 in Standard Form

please answer. i need help, i will your you brainliest !!

Answers

Answer:

21.75

Step-by-step explanation:

This is only 4.35 because it’s the right one

please help lollllllllllllllll

Answers

Answer:

AB=6

Step-by-step explanation:

Answer:

AB = 6

Step-by-step explanation:

12 / 2 = 6

A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (−5,−3). What is the vertex of the function defined as g(x)=−f(x)+3?

Answers

Answer:

(-5 , 6)

Step-by-step explanation:

f(x) = (x - (-5))² - 3     ... vertex (h , k) : (-5 , -3)     y = (x-h)² + k

g(x) = -f(x) + 3 = -((x+5)² - 3) + 3 = -(x + 5)² + 6

vertex of g(x) is : (-5 , 6)

Show Your Work Find the area of the sector

Answers

Answer:

look at the picture I sent

Hi! I need some help with this (:

Answers

Answer:

the answer is 5 lists

hope this helps

The axis of symmetry for the graph of a quadratic function is x=4. The x-intercepts for the graph are (-6,0) and (?,0).



Find the value of ?

Answers

Answer:

I'll set it up and you can finish

Step-by-step explanation:

the axis of symmetry goes through th x-axis at x=4.

This point will be equidistant from both points that are at the x-intercepts. The distance from (-6,0) to (4,0) is

4 - (-6) = 10.

so I now you can find ? which will be in the first quadrant of the graph

Gene starts from home and travels 3 miles north to the
The largest angle formed during his trip IS
shopping mall From the shopping mall, he travels 2
miles west to the library. Then, from the library, he
at his home
travels about 3.6 miles to return home. The entire trip
at the mall
forms a triangle.
between the mall and the library
Library
Mall
( between his home and the library
Home

Answers

Answer:

B. at the mall

Step-by-step explanation:

The largest angle formed during his trip is at the mall.

please help i need it by tomarrow

Answers

Answer:

2-6

3-9

5-15

6-18

2-6

4-12

5-15

8-24

Step-by-step explanation:

Multiply by 3

Please help:)

The table summarizes data about the median debt for graduating students from a sample of universities in California and New York.




median debt less than $9,000


median debt at least $9,000


total


California universities


130


445


575


New York universities


72


271


343


total


202


716


918


Is there an association between the state and the amount of median debt for graduates? Explain your reasoning

Answers

Yes, there is an association between the state and the amount of median debt for graduates.

What is median debt?

Median debt is the midpoint of a range of debt levels for a specific group of people or organizations. This debt is usually reported as the sum of all loans and credit card balances owed by the group, divided by the total number of people or organizations in the group. Median debt is different from average debt, as it is not affected by extreme values. Median debt is a good measure of the financial health of a group because it provides an indication of the typical amount of debt held by an individual or organization.

In California, the median debt for graduates is significantly lower than in New York, with 130 graduates having median debt less than $9,000 and 445 graduates having median debt at least $9,000. In New York, 72 graduates have median debt less than $9,000 and 271 graduates have median debt at least $9,000. This indicates that graduates from California universities are more likely to have lower median debt than graduates from New York universities.

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find the difference between point A (3,2) & point B (5,9) , then round the answer to re nearest tenth please help asap

Answers

Answer:

The answer is the square root of 53, or about 7.28.

Step-by-step explanation:

To find the distance between two points, you use the formula [tex]\frac{y_{2} -x_{2}}{y_{1} -x_{1} }[/tex]. When we insert the coordinates given, you get the square root of 53, or 7.28.

im 12 and struggling help me please i need my grades up

Answers

Answer:

you would multiply 17% by  228,000

Step-by-step explanation:

you would get 177840

Please help!! 10 minutes left!!

Answers

I can’t really see the end
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