ABCD is a rhombus. The diagonals intersect at point E. If angle CDB= 6x and angle ACD= 2x+10, find x.

Answers

Answer 1

Answer:

x = [tex]10^{o}[/tex]

Step-by-step explanation:

The diagonals of a rhombus are perpendicular to each other, thus the angle at point E is [tex]90^{o}[/tex]. So that ΔCED is a right triangle, and that;

<CDB = <CDE

<ACD = <ECD

<CDE + <ACD + <CED = [tex]180^{o}[/tex] (sum of angles in a triangle)

6x + (2x + 10) + [tex]90^{o}[/tex] = [tex]180^{o}[/tex]

8x + 100 = [tex]180^{o}[/tex]

8x = [tex]180^{o}[/tex] - 100

8x = 80

x = [tex]\frac{80}{8}[/tex]

  = [tex]10^{o}[/tex]

Thus, the value of x is [tex]10^{o}[/tex].


Related Questions

A random sample of Maxwell high school students that seven out of every trust students ride the bus Maxwell high school has a total of 840 students based on the sample how many students most likely ride the bus to school

Answers

Complete question :

A random sample of Maxwell High School students showed that 7 out of every 12 students ride the bus to school . Maxwell High School has a total of 840 students . Based on the sample , how many students most likely ride the bus to school ?

Answer:

490 students

Step-by-step explanation:

Proportion of students who rode bus to school :

7 / 12 = 0.5833333

Given a sample size of 840 students ;

The likely Number of students who rode bus to school will be :

Sample size * proportion

840 * 0.5833333

= 490 students

Who are some good you tubers to watch?

Answers

Answer:

Cocomelon

Their videos are pretty good!

can someone please explain this and how to do these types of problems??!?! im so confused and i dont know how to do them right

Answers

Answer:

28/53

Step-by-step explanation:

We need the cos of Q

therefore we'll use CAH (in SOH, CAH, TOA)

where CAH means

cos(angle)=adj/hyp

the side that adjacent to Q is 28

and the hypotonous (the oppsoite to the right angle) is 53

therefore cos(q)=28/53

Evaluate the following expression when x=-5 and y=7: *enter numbers only

Answers

Answer

x+y

Step-by-step explanation:

ANSWER ASAP! MARK BRAINLIEST
3.) In triangle RST, RS = 4, ST = 5, and RT = 6. Which angle is largest?
Hint draw a picture!
A) B) C) D) Cannot be determined

Answers

Answer:

So If you start with sinØ = .5

your calculator is programmed to always give the closest angle to 0, and that would be 30°

You probably used the cosine law to find the first angle. A suggestion is to always find the largest angle first. If that happens to be an obtuse angle, your calculator will find the correct angle.

Of course there can only be one obtuse angle in a triangle, so using the sine law for your second angle does not result in any problems

notice that in your solution 78 and 102 add up to 180 , and sin 78 = sin(180-78) = sin 102

I would have found angle S first, the largest angle always opposite the largest side.

7^2 = 5^2 + 4^2 - 2(5)(4)cosØ

40cosØ = -8

cosØ = -8/40 = -1/5

Ø = 101.537°

Now you can use the sine law and you will find the correct other angles.

Step-by-step explanation:

Need help ASAP. Please and thanks!:
Four of the interior angles of a hexagon measure 92°, 100°, 94°, and 140°. The remaining two angles each measure (x−32)°. What is the value of x? Justify your response.

A. The sum of all interior angle measure is 540°
, so each angle measuring (x−32)° has a measure of 123°
. Thus, (x−32)°=123°, and so x=155.

B. The sum of all interior angle measure is 720°
, so each angle measuring (x−32)° has a measure of 294°. Thus, (x−32)°=294°, and so x=326.

C. The sum of all interior angle measure is 720°
, so each angle measuring (x−32)° has a measure of 147°
. Thus, (x−32)°=147°, and so x=179.

D. The sum of all interior angle measure is 540°
, so each angle measuring (x−32)° has a measure of 246°. Thus, (x−32)°=246°, and so x=275.

Answers

Answer:

The answer is x=294 (B)

Step-by-step explanation:

Remember, all interior angles of a hexagon add to 720.

So add all the  given numbers first.

92+100+94+140+x= 720

426+x=720

-426 from both sides

x= 294

I know this is a week later since you posted the question, sorry.

For the trapezoid below, what is the correct term for RT?
R
E
1
1
TL
w
A. Leg
B. Apothem
C. Base
D. Altitude
HELPPP MEEE ASAPPPPP PLSSSS

Answers

The correct answer is a Leg (answer A).

An apothem would be a segment a segment formed formed from the center of a regular polygon that intersects one of its sides at 90°. In a trapezoid, the sides adjacent to the bases (because there’s two bases) are called legs.

PLS HELP WILL MAKE MOST BRAINILIST
y = x - 8
y= 1

Answers

Answer:

X = 7

Step-by-step explanation:

if y is one and and x is getting subtracted by 8 what’s 8 minus 1

Find the next 2 numbers in the sequence: 12,-1, -14, -27, -40.....

Answers

Answer:

12, -1, -14, -27, -40, -53, -66

Step-by-step explanation:

The pattern rule here is,

Start at 12, and minus 13 everytime.

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

Have a good day :)

Step-by-step explanation:

Given :

12 , -1 , -14 ....

And we need to find the next two terms of the sequence. Firstly let's find out the common difference.

[tex]:\implies[/tex] CD = -12-1 = -13

Next two terms :-

[tex]:\implies[/tex] Next terms = -53 , -66

Hence the next terms are -53 & -66 .

pleasee help mee
....

Answers

Answer:

x = 4.5

Step-by-step explanation:

a^2 + b^2= = c^2

4^2 + 2^ = c^2

16 + 4 = c^2

20 = c^2 --> find square root of 20 and round to nearest tenth*

4.47 = c

round up to 4.5

Of the clients who had their hair cut at Tanner's salon last month, 4 clients had black hair and
12 clients had hair in other colors. Considering this data, how many of the next 12 clients to
get haircuts should you expect to have black hair?

Answers

Answer: 3

Step-by-step explanation:

The number of getting the black hair color clients will be 4.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of samples

Given the of the clients who had their hair cut at Tanner's salon last month, 4 clients had black hair and 12 clients had hair in other colors.

The probability is:-

P = 4 / 12

The number of clients having black color hair is calculated as:-

Number = ( 4 / 12 ) x 12

Number =  4

Therefore, there will be 4 people getting black hair colors.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ6

Paul, Colin and Brain are waiters. One night the restaurant earns tips totalling £78.40. They share the tips in the ratio 2:1:5. How much more roes Brian get over Colin?

Answers

Answer:

Step-by-step explanation:2+1+5=8

78.40/8=9.80

B=5x9.80=49

C=1x9.80=9.80

So B-C=39.20 more

The figure shows a large triangle divided into two smaller triangles what is the value of x in the figure

Answers

Answer:

40

Step-by-step explanation:

Find the other missing angle, which is supplementary to 100 first.

Supplementary angels are a sum of 180

The missing angle is 180-100 = 80

Now use that to find missing angle x

All angles in the triangle have a sum of 180

180 = 60+80+x

180-60-80=x

40 = x

Please help :') Estimate 15 divided by 2.57

Answers

Answer:

5.83

Step-by-step explanation:

15 ÷ 2.57 = 5.8

mark as brainllest

the answer is 5.83

hope it's help

Find 100% of 188:
Find 50% of 188:
Find 25% of 188:
Il
Find 75% of 188: 14

Answers

Answer:

100% = 188

50% = 94

25% = 47

add 50% value and 25% value 141 or you can multiply 188 by .75

Step-by-step explanation:

hat is pretty simple first think 188 is the 100 percent

the 50 percentage is dividing by 2 the number or multiplying by 0.50 that is 50% so it's 94

to get 25 porcent you can't multiply by .25 or divide by 4

to get 75 porcent add the values of 50 and 25 percent or multiply 188 by .75

Please help explain to me!

Answers

We are dealing with numbers 10^6 and 10^14. With this format, the number in the top right is basically how many zeros the numbers has. So 10^14 / 10^6 equals 10^8, which is 10,000,000!

√2/3 -√1/6 how do you do this

Answers

Hopes this helps

I used this app called Cymath.

Answer:

Answer:

1/√6 or √6 /6

Step-by-step explanation:

√2/3 -√1/6 =√4/6 - √1/6

= (√4-√1)/√6

= (2-1)/√6

=1/√6 or √6 /6

F. The area of a trapezoid is 253 square centimeters. The longer base of the trapezoid is 14
centimeters. The shorter base of the trapezoid is 8 centimeters.
8 centimeters
X centimeters
14 centimeters
What is the height of the trapezoid?

A:13 centimeters

B:11.5 centimeters

C:23 centimeters

D:5.75 centimeters

Answers

Answer:

C: 23 centimeters

Step-by-step explanation:

Formula for the Area of a trapezoid is top base + bottom base divide by 2 then multiply the height.

8+14 is 22 divide that by 2 would equal 11.

11 times 23 equals 253

If m <1 = 115° and the m < 8 = 105°, what is the measure of angle 5?

Answers

Answer:

measure of angle 5 = 75 degrees

Step-by-step explanation:

given measure of angle 8 = 105 degrees,

angle 8 and angle 5 are in a linear pair so,

(the sum of angles in a linear pair is 180 degrees)

therefore, angle 8 + angle 5 = 180 degrees

therefore,. 105 + angle 5 = 180 degrees

angle 5 = 180 - 105

angle 5 = 75 degrees

a substance decays at a rate of 0.98% each year. if here is 3500 mg at the beginning, how much is remaining after 25 years?

Answers

Answer:

2642.5

Step-by-step explanation:

I'm like 10% sure that's the right answer so I wouldn't put it down on the work if I were you

Answer:

≈2736 mg

Step-by-step explanation:

0.98% = .0098

p = 3500(1 -0.0098)^25

p = 3500(0.9902)^25

p ≈ 2736

I NEED HELP 17 POINTS PLUS BRAINLIST PLEASE

Answers

Answer:

E

Step-by-step explanation:

Hope this helped!

The answer is E because I did it and got it right

ALGUEM ME AJUDAA PFVRRR

RAP: O grito da periferia, pg. 62, 8° ANO

2- Explique o significado de algumas expressões, recorrendo a seus conhecimentos ou procurando entende-las no contexto.

|. "Tem mina que não se assimila"
||. "Isso não é maneiro"
|||. "quando o bicho pega corre"

b.) De que variedade linguistica essas expressões fazem parte?

3- Muitos raps parecem relatar situações realmente vividas. como se fossem ralatos autobiograficos. "Juntos e misturado" dá ao publico essa impressão? Explique sua resposta.

4- Esse rap revela uma ideologia em relação a forma como as pessoas devem se relacionar em sociedade. O que ele defende?


Ajuda ae TvT

Answers

Answer:

apprehending the speeches about the periphery , both with regard to the social space ... of the periphery and identified as black, enabled me to study them , or even, ... as the expressions of hip hop (break, rap and graffiti) and marginal literature, ... resides about 62km from the evening, Zé Batidão is a mandatory stop for the ...

Step-by-step explanation:

I just Failed my Spanish final exam what do I do now?

Answers

Answer:u can advance or pray u god u ain’t getting whipped

Step-by-step explanation:

What is the coordinate points of (1/2,√3/2) when reflected to quadrant 3?

Answers

Answer:

(-√3/2., -1/2)

Step-by-step explanation:

This is a reflection in the line y = -x.

So x =  1/2 becomes y = -1/2

and y = √3/2  becomes x = -√3/2.

PLZZZ I WILL MARK BRAINLIEST !!!!

Answers

Answer:

Your answer is b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

how do you do this please

Answers

Answer:

X=4rad3

Y=4

Step-by-step explanation:

factorise this equation: 4x²-2x-5

Answers

Answer:

PEMDAS Answer:A

Step-by-step explanation:

parentheses exponents multiplication division addition and subtraction in order

© In a class full of men and women,4/9 of the class are women.
What is the ratio of men to women in its simplest form?

Answers

Answer:

4:9

Step-by-step explanation:

I really need help with this! Marking the best answer as brainliest!

Answers

Answer:

0, 3, -6, 7

Step-by-step explanation:

Is
X 0 5 10 15
Y 0 25 100 225
Proportional or non proportional?

Answers

Answer:

non proportional

Step-by-step explanation:

From the table;

0 = 0

25 = 5^2

100 = 10^2

Since the y values are the output and x is the input, hence;

y = x²

Since the equation is quadratic, hence the table is non proportional

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