Consider the quadrilateral shown below that has vertices A, B, C, and D.

Suppose we know the following measurements:
¯¯¯¯¯¯¯¯AB=5.8 cm
¯¯¯¯¯¯¯¯BC=5.4 cm
¯¯¯¯¯¯¯¯¯CD=3.3 cm
¯¯¯¯¯¯¯¯¯AD=6.2 cm
m∠A=27∘
What is the degree measure of ∠C?
m∠C=  °

Consider The Quadrilateral Shown Below That Has VerticesA,B,C, AndD.Suppose We Know The Following Measurements:AB=5.8cmBC=5.4cmCD=3.3cmAD=6.2cmmA=27What

Answers

Answer 1

Answer:

C = 25.94°

Step-by-step explanation:

By applying cosine rule in ΔABD,

BD² = AB² + AD² - 2(AB)(BD)cosA

BD² = (5.8)² + (6.2)² - 2(5.8)(6.2)(cos27°)

BD² = 33.64 + 38.44 - 64.08

BD² = 8

BD = √8

By applying cosine rule in ΔBCD,

BD² = BC² + CD²- 2(BC)(CD)cosC

(√8)² = (5.4)²+ (3.3)² - 2(5.4)(3.3)cosC

8 = 29.16 + 10.89 - 35.64cosC

35.64cosC = 32.05

cosC = 0.89927

C = [tex]\text{cos}^{-1}(0.89927)[/tex]

C = 25.94°

Answer 2

By using cosine formula of triangles we got that measure of ∠C is 25.94 °

What is a quadrilateral ?

Quadrilateral is a closed shape with 4 sides and 4 corners.

Here given that

AB=5.8 cm

BC=5.4 cm

CD=3.3 cm

AD=6.2 cm

and [tex]\angle A=27[/tex] °

in [tex]\triangle \mathrm{ABD}[/tex]

Applying cosine formula

[tex]$$\begin{aligned}&\mathrm{BD}^{2}=\mathrm{AB}^{2}+A D^{2}-2(\mathrm{AB})(\mathrm{BD}) \cos A \\\\&\mathrm{BD}^{2}=(5.8)^{2}+(6.2)^{2}-2(5.8)(6.2)\left(\cos 27^{\circ}\right) \\\\&\mathrm{BD}^{2}=33.64+38.44-64.08\\ \\&\mathrm{BD}^{2}=8 \\\\&\mathrm{BD}=\sqrt{8}\end{aligned}$$[/tex]

Now in [tex]\triangle B C D[/tex]

Applying cosine formula

[tex]$$\begin{aligned}&\mathrm{BD}^{2}=\mathrm{BC}^{2}+\mathrm{CD}^{2}-2(\mathrm{BC})(\mathrm{CD}) \cos \mathrm{C} \\\\&(\sqrt{8})^{2}=(5.4)^{2}+(3.3)^{2}-2(5.4)(3.3) \cos \mathrm{C} \\\\&8=29.16+10.89-35.64 \cos \mathrm{C}\\ \\&35.64 \cos \mathrm{C}=32.05\\ \\&\cos \mathrm{C}=0.89927 \\\\&\mathrm{C}=\cos ^{-1}(0.89927) \\&\end{aligned}$$[/tex]

C=25.94 °

By using cosine formula of triangles we got that measure of ∠C is 25.94 °

To know more about Quadrilateral visit :https://brainly.com/question/4611638


Related Questions

Solve the equation please

Answers

Answer:

y = 14

Step-by-step explanation:

| y + 3 | = 17

simplify:

y + 3 = 17

subtract 3 on both sides:

y + 3 - 3 = 17 - 3

y = 14

Please help I put a screenshot of the assignment

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Answer:

78.5ft^2

Step-by-step explanation:

calculations done on a calculator

Answer:

78.5

Step-by-step explanation:

4 x 2.5 = 10 ft

4.5 x 2.5 = 11.25

4.5 x 4 = 18

18 + 10 + 11.25 = 39.25

39.25 x 2 = 78.5

Find the distance between the points (-5,5) and (-6,-4).

Answers

Answer:

distance = 9.06 units

Step-by-step explanation:

x difference = -1

y difference = -9

using the Pythagorean theorem:

-1² + -9² = d²

d² = 1 + 81 = 82

d = 9.06

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Answer:

yes,yes,no,yes

Step-by-step explanation:

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Answers

Answer is:

a= 90-70

=20

Answer:

The missing angle is 20°

Step-by-step explanation:

The square by the vertex indicates that this is a right angle. A right angle measures 90°. So what you can do is subtract the 70° from the 90°, to get 20°.

Hope this helps! Have a great day! :)

A school needs to buy new notebook
and desktop computers for its
computer lab. The notebook
computers cost $400 each, and the
laptop
computers cost $150 each. How
much would it cost to buy 13
notebooks and 19 desktop
computers? How much would it cost
to buy
n notebooks and d desktop
computers?
Total cost, 13 notebooks and 19
desktop computers:
Total cost, n notebooks and d desktop
computers:

Answers

Answer:

so if they need 400 nc and they need 13 you need to multiply which is 5200 alr now same thing with the other 150 and they need 19 you get 2850 now all together you get that's 8050 hope this helped

In UVW, the measure of ZW = 90°, UV = 96 feet, and VW = 58 feet. Find the
measure of V to the nearest degree.

Answers

Answer:

V=52.831≈ 53

Step-by-step explanation:

cosV=

hypotenuse

adjacent

=

96

58

\cos V = \frac{58}{96}

cosV=

96

58

V=\cos^{-1}(\frac{58}{96})

V=cos

−1

(

96

58

)

V=52.831\approx 53^{\circ}

V=52.831≈53

The temperature was very cold.
Then the temperature tripled.
Then the temperature dropped by 14 degrees.
Then the temperature increased by 32 degrees.
The temperature is now 51 degrees.
What was the starting temperature?
Do NOT write degrees.

Answers

Answer:

51-32+14=33

33÷3=11

answer is 11

solve for X


please answer will give brainliest!!!

Answers

x = 9.25
This is because you have to subtract 3.5 from both sides of the equal sign in order for x to be by itself on the left side. 12.75 minus 3.5 equals 9.25

What is the distance, in a radical form, between the points (5,-6) and (2,5).

Answers

Answer:

L²=(x1-x2)²+(y1-y2)²

L2=(5-2)²+(-6-5)²

L²=3²+(-11)²

L²=9+121

L²=130

L=✔130

Write the fraction 28 in its simplest form.
70​

Answers

Answer: 2/5

Step-by-step explanation: 28/70 ÷ 12/12 = 2/5

The simplest form of the given fraction is 2 / 5

What is a fraction?

A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.

Given is a fraction, 28 / 70, we have to convert it into its simplest form,

28 / 70

= 2(14) / 5(14)

= 2 / 5

Hence, the simplest form of the given fraction is 2 / 5

For more references on fractions, click;

https://brainly.com/question/10354322

#SPJ2

3 4/7 minus 2 1/5 by rounding to the nearest half

Answers

Answer:

[tex]1 \frac{13}{35}[/tex]

Step-by-step explanation:

[tex]3 \frac{4}{7} - 2 \frac{1}{5}[/tex]

you can solve for the fractions first, but you have to give them a common denominator

[tex]\frac{20}{35}- \frac{7}{35}[/tex]

[tex]= \frac{13}{35}[/tex] which is in simplest form

then solve for the whole numbers

3-2=1

therefore, the answer is [tex]1 \frac{13}{35}[/tex]

Find the slope of the graph

Answers

Hi there! Your answer is -1/9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments!:)

Step-by-step explanation:

[tex] \large \boxed{ m = \frac{y_2-y_1}{x_2-x_1} }[/tex]

The formula above is slope formula. We will be using this to find a slope of a line.

From the graph, there are two points which are (4,0) and (-5,1).

You can either let (4,0) = (x1, y1) or (x2, y2) but I will be letting (-5,1) =(x2, y2)

Substitute the coordinate points in.

[tex] \large{m = \frac{1 - 0}{ - 5 - 4} } \\ \large{m = \frac{1}{ - 9} } \\ \large{m = - \frac{1}{9} }[/tex]

Hence, the slope is - 1/9. If you are curious where m-term comes from, it comes from y = mx+b where m = slope and b = y-intercept.

A closing is March 5 for a rental property with an annual tax bill of $2800. Calculate and show the debit and credits for the tax proration between the buyer and seller using the 365 day method, the day of closing belongs to the buyer.

Answers

Answer:

The debit and credits for the tax proration will be as follows:

Debit seller for $483.29; and Credit buyer for $483.29.

Step-by-step explanation:

The assignment of how much is owed to the responsible party is the major reason of a proration.

For the days owned by the seller, the buyer needs money from the seller since the buyer will pay the taxes at end of the year.

Amount per day = Annual tax bill / 365 = $2800 / 365 = $7.67

Total number of days from January 1 to a day before March 5 = Number of days in January + Number of days in February + Number of days from March 1 to March 4 = 31 + 28 + 4 = 63

Amount the seller owes for the time he owned = Amount per day * Total number of days from January 1 to a day before March 5 = $7.67 * 63 = $483.29

Therefore, the debit and credits for the tax proration will be as follows:

Debit seller for $483.29; and Credit buyer for $483.29.

what does 4n+3(n-5)+2 equal

Answers

4n+3n-15+2,
7n-13 is what it equals

Answer:

7n-13

Step-by-step explanation:

Simplify

4n+3(n-5)+2

4n+3n-15+2

Add The Numbers

4n+3n-15+2

4n+3n-13

Combine Like Terms

4n+3n-13

7n-13        Solution 7n-13

weeeeeeeeeeeeeee3seeeeeeehehejdurut

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Answer:

huh....is there a problem

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Answers

Answer:

6 and 19

Step-by-step explanation:

x+y=25

2x+7=y

x+2x+7

3x+7=25

3x=18

x=6.

25-6=19.

y=19

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Answers

Answer:

B

Step-by-step explanation:

Answer:

put the numbers in order, cross off low/high pairs, add the leftover numbers, divide the sum by two

Step-by-step explanation:

The solids are similar. Find the missing dimension.

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Answer:

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Step-by-step explanation:

To find the missing measure of similar solids, set up a proportion of corresponding dimensions. Then, cross multiply and divide. To find the surface are of similar solids, set up a ratio of surface area equal to the squared ratio of given linear measures. Then cross multiply and divide.

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I think it’s FOIL not fs tho...

Answer:

you would be undoing the FOIL process

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Answer:

either the first or second but id go with the second one!

Step-by-step explanation:

It’s the second one :-)

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Answer:

x = 12

Step-by-step explanation:

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Answer:

B 53

Step-by-step explanation:

it cost $5.25 for a bottle of 150 vitamins. if the cost varies directly with the number of vitamins in the bottle, what should a bottle of 250 vitamins cost?

Could you please give me the equation and show me how you got it please so I could understand... thanks.

Answers

Answer:

8.75

Step-by-step explanation:

if a bottle of 150 vitamins is 5.28...then that of 250 vitamins

x is the value of a single vitamin, therefore

5.25- 150

x- 1

150x divide by 5.25=0.035

therefore 250*0.035= 8.75

6 out of 13 of your
friends are on the
basketball team. What
percent of your friends
are on the basketball
team? Round to the
tenths place.

Answers

Answer:

46.2%

Step-by-step explanation:

6/13 x 100% = 46.1538461538% (rounded to the nearest tenth: 46.2%)

Hope that helps!

Answer:

(A) Theoretical

Step-by-step explanation:

bec this is the real answer

what is the value expression 26+22÷12 pls help me​

Answers

The answer is 23 .833333

Answer:

As a decimal : 27.833

As a fraction : 167/6

Step-by-step explanation:

26 + 22/12

=

26/1 + 22/12

=

26/1 + 11/6

=

156/6  + 11/6

156 + 11 / 6

=

167/6

or as a decimal 27.833

Hope this helps!

si se opta por la primera modalidad cuanto de dinero se abra pagado al sexto mes

Answers

Answer:Los contratos de opciones se pueden tasar utilizando modelos matemáticos como los modelos de precios Black-Scholes o Binomial. El precio de una opción se compone principalmente de dos partes distintas: su valor intrínseco y su valor temporal. ... El valor temporal se basa en la volatilidad esperada del activo subyacente y el tiempo hasta el vencimiento de la opción.

Step-by-step explanation:¡espero que esto ayude!

Btw's I speak english too!

what is the opposite of –|−8|?

Answers

Answer:

it should be |8| or just 8 because there can not be a negative in the absolute value sign. pretty sure but not 100%

Answer:

|8|

Step-by-step explanation:

that is your answer :D

The bar graph shows the number of each kind of pet owned in Critter City. How many more cats are pets in Critter City than fish?
A)
5
B)
10
15
D)
30

Answers

Answer:

i need the photo to answer

Step-by-step explanation:

lan makes 60 cakes.
He gives à of the cakes to Helen.
He gives 20% of the 60 cakes to Sue.
What fraction of the 60 cakes does he have left?

Answers

Answer:

4/5

Step-by-step explanation:

there are 5 20s in 100 so 20 % is equal 1/5 so take 1/5 away and you get 4/5

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