Given that ABCD is a rhombus, what is the value of x?
B
C.
(3x + 12)
D
A. 19.5
B. 78
C. 15.8
D. 26
E. 52
F. Cannot be determined

Given That ABCD Is A Rhombus, What Is The Value Of X?BC.(3x + 12)DA. 19.5B. 78C. 15.8D. 26E. 52F. Cannot

Answers

Answer 1

Answer:

Diagonals of a rhombus intersect at right angles

Therefore, [tex]\angle AOD=90[/tex]

[tex]Now,in\: \bigtriangleup AOD[/tex]

[tex]\angle OAD+\angle AOD+\angle ADO=180[/tex]

[tex]x+90+3x+12=180[/tex] [tex]\leftarrow [combing \: like\: terms][/tex]

[tex]4x+102=180\\-102 \: -102[/tex] [tex]\leftarrow [subtracting \:102 ][/tex]

[tex]\frac{4x}{4} =\frac{78}{4} \leftarrow [dividing \: by\: 4][/tex]

[tex]x=19.5[/tex] [tex]\Longleftarrow[/tex]

OAmalOHopeO


Related Questions

A researcher decides to find out whether giving students positive
reinforcement improves or impairs their grades. The researcher's sample
group consists of the following 8 students:
0 Jack
1 Tucker
2 Susie
3 Jill
4 Charianna
5 Trey
6 Ashton
7 Jordan
52197 66082 97867 49397 47924 78900 59414 64755 48733
Which of the following represents a 5-person group selected for the
treatment group using the first number in the line from a table of random
numbers above?
A. Charianna, Tucker, Jack, nobody, Ashton
B. Tucker, Susie, Trey, Ashton, Jordan
C. Trey, Susie, Tucker, Jordan, Ashton
D. Charianna, Tucker, Jack, Ashton, Trey

Answers

Answer:  C. Trey, Susie, Tucker, Jordan, Ashton

========================================================

Explanation:

The random sub-sequence 52197 66082 helps directly determine who we pick.

The digit 5 is first of that sequence, so we pick Trey first (as he's the 5th student). Then we pick student #2 next, who is Susie.

Up next is student #1, and that would be Tucker

Up next is student #9, but the list only goes high as 7. So we skip over 9

Jordan is next up since 7 is the next digit

Finally, the last selection is Ashton because 6 follows after.

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

In other words, the sequence 52197 6 will lead to these selections in the order provided.

5 = Trey2 = Susie1 = Tucker9 = skip, since it's not on the list7 = Jordan6 = Ashton

Side note: if we wanted a 6th student, then we'd have to skip over the next 6 since we cannot pick Ashton twice. The 6th selection would be Jack since he's student #0

The range of a sequence consists of________.

A. functions
B. terms in the sequences
C. negative numbers
D. natural numbers

Answers

Answer:

B. terms in sequences

Step-by-step explanation:

When graphed, a sequence is a scatter plot, a series of dots. (Do not connect the dots). The sum of the terms of a sequence is called a series.

OPTION B is correct.

The range of a sequence consists of terms in the sequences.

We have a statement the range of a sequence consists of.

We have to find which of the given options is a constituent of range of sequence.

What is a sequence?

A sequence is an arrangement of objects in a particular order. They are of two types - finite and infinite.

Range of a sequence is the set of elements that can be used to plot it graphically. These elements are in general the y - coordinate of the point, with the x coordinate being x = n = 1, 2, 3,4 .... and so on. An example of a range of sequence is Set S = {2, 1, 5, 7, 8}.

Hence, the range of sequence consists of terms of sequence.

To understand more about sequence, visit the link below -

brainly.com/question/21961097

#SPJ2

Find P(blue and even).



A. 3/5
B. 1/10
c. 7/10

Answers

Answer: A. 3/5

Step-by-step explanation:

Assuming that they are colorful blocks,

There are in total 10 blocksThere are in total 2 blue blocksThere are in total 5 even blocks

Blue blocks: 1, 2

Even blocks: 2, 4, 6, 8, 10

The net total of blue and even blocks:

2 + 5 = 7 blocks

However, as we can see from above, the number [2] is repeated in both cases, thus we shall subtract one of them from the total number.

7 - 1 = 6 blocks

We analyzed at the beginning where there are 10 blocks in total. Then, utilizing the probability formula below:

6/10 = 3/5

Hope this helps!! :)

Please let me know if you have any questions

A running track has two semi-circular ends with radius 27m and two straights of length 90.6m as shown.
Calculate the total distance around the track rounded to 1 DP.

Answers

Answer:

350.85

Step-by-step explanation:

90.6*2 = 181.2

27*2 = 54 (diameter)

54*pi = 169.646003294

169.646003294 + 181.2 = 350.846003294

350.846003294 = 350.85

Instructions: Find the missing side lengths. Leave your answers as radicals in simplest
form.

Answers

Answer:

x = 40

y= 20

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 20 sqrt(3)/ x

x sin 60 = 20 sqrt(3)

x = 20 sqrt(3)/ sin 60

x = 20 sqrt(3)/ sqrt(3)/2

x = 20 *2

x = 40

tan theta = opp /adj

tan 60 = 20 sqrt(3)/y

y = 20 sqrt(3)/ tan 60

y = 20 sqrt(3) / sqrt(3)

y = 20

This table shows the relationship of the total number of pieces of fruit to the number of bananas.
Why is StartFraction 6 Over 5 EndFraction not equivalent to Three-halves?

Answers

Given:

The table that shows the relationship of the total number of pieces of fruit to the number of bananas.

To find:

Why is [tex]\dfrac{6}{5}[/tex] not equivalent to [tex]\dfrac{3}{2}[/tex].

Solution:

If a, b, c are real numbers, then

[tex]\dfrac{a}{b}=\dfrac{a\times c}{b\times c}[/tex]

The given fraction is [tex]\dfrac{3}{2}[/tex]. It can be written as:

[tex]\dfrac{3\times 2}{2\times 2}=\dfrac{6}{4}[/tex]

The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be [tex]\dfrac{6}{4}[/tex], not [tex]\dfrac{6}{5}[/tex].

Therefore, the correct option is A.

26)
A pile of bricks has 93 bricks in the first row, 89 bricks in the second row, 85 bricks in the third row, and so on.
How many bricks are there in the 12th row?
OA) 49 bricks
OB) 69 bricks

Answers

Answer:

49 bricks

Step-by-step explanation:

because it's getting smaller my 4

Answer: 49

Explanation: it’s getting smaller by 4, they already gave us the first three, so now we multiply 4 by 9 and get 36 ( I multiplied 4 by 9 since that’s how many numbers were left to get to 12 from 3) and subtracted 36 by 85 then got 49. Hope this helps ^_^

find the common difference in the linear sequence sequence 69,53,47,30​

Answers

Initial request is certain

What action represents the "!" symbol on a TI 84 plus CE calculator for a Statistics problem??

Answers

Answer:

The "!" represents a factorial

Step-by-step explanation:

In math, a factorial when there is an ! followed by a number.

For example, 5! = 5 factorial.

To solve factorials, multiply every integer below the number before the factorial, including the number.

5! = 5 x 4 x 3 x 2 x 1 = 120.

Evaluate:
18 (5n - 4) = [?]

Answers

Answer:

90n-72=0

Step-by-step explanation:

18×5n-18×4=0

what is the measure of m?

Answers

Answer:

[tex]n^{2} +18^{2} =x^{2}[/tex]

[tex]6^{2} +x^{2} =m^{2}[/tex]

[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]

[tex]m^{2} =n^{2} +360[/tex]

[tex]n^{2} +36=m^{2}[/tex]

[tex]m=15[/tex]

OAmalOHopeO

help!! need to find the area

Answers

Answer:

10*5 +2(2*2)

50+8

58

Step-by-step explanation:

Answer:

58 units

Step-by-step explanation:

Find sin 0
A. 16/20
B. 12/16
C. 12/20
D. 16/12

Answers

Answer:

16/20

Step-by-step explanation:

Since this is a right triangle

sin theta = opp side / hypotenuse

sin theta = 16/20

Answer:

A.

[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ \\ { \tt{ \sin( \theta) = \frac{16}{20} }}[/tex]

please explain this to me.

Answers

Answer:

Equation of line:- y=2x-7

slope(m)=2

slope of parallel line (m)=2

∴ Equation of parallel line:- y=2x+b

it passes through the point (-3,6)

6=2(-3)+b   6+6=b

b=12

∴ y=2x+12

OAmalOHopeO

Which set of ordered pairs could be generated by an exponential function?
(negative 1, negative one-half), (0, 0), (1, one-half), (2, 1)
(–1, –1), (0, 0), (1, 1), (2, 8)
(negative 1, one-half), (0, 1), (1, 2), (2, 4)
(–1, 1), (0, 0), (1, 1), (2, 4)

Answers

Answer:

(–1, –1), (0, 0), (1, 1), (2, 8)   (y = x^2)

(–1, 1), (0, 0), (1, 1), (2, 4)   (y = x^3)

Answer:

C

Step-by-step explanation:

An acute angle of a right triangle measures 30°, and the length of the triangle's hypotenuse is 10 ft. Find the missing angle measure and side lengths.

Answers

Answer:

missing angle <60 and side lengths 5, 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

we understand from the given information that  the triangle in question is a special right triangle

and since this is a special triangle the side lengths follows :

the side length that sees <90 is represented by 2x

the side length that sees <60 is represented by x[tex]\sqrt{3}[/tex]

and the side length that sees <30 is represented by x

2x = 10 so x = 5 and  x[tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]

Q 14. Two friends Tina and Reeta simplified two different expressions during the revision
hour and explained toeach other their simplifications,
V2
Tina explains simplification of Torta by rationalising the denominator and Reeta
explains simplifications of (72 + V3) (12 - 13) by using identity,
i)
Vz
By rationalising the denominator of
Tina got
VSV
vz
a)
c) V5 – 13
b) V7(13-va)
d)
Vic+V5)
2
ii)
Reeta apply
a) (a+b)
identity to simplify(V2 + 13) (12 – 73).
b) (a-b)?
c) (x+a) (x+b) d) (a+b)(a-b)
iii)
(12 + V3) (72 - 73) =
a) 5 b) (74 + 6
c) 1
d) -1
iv)
All the rational and irrational numbers make up the collection of
numbers.
a) Whole numbers
b) Integers
b) c) Real Numbers
d) Irrational Numbers

Answers

I really don’t know the answer I’m sorry

“The length of a rectangle is two feet greater than twice its width. If the perimeter is 25 feet, find the width.” Which of the following translations is correct?

Answers

Answer:

b is the answer

Step-by-step explanation:

Which of the following is a characteristic of science?

Answers

Answer:d

Step-by-step explanation:

Answer:

D

explanation:

i got it right on the test

Find the equation of the line that passes through (1,6) and (3,10).
y=2x+4
y=-2x+4
y=-24-4
Oy-23-4

Answers

Answer:

m = (y2 - y1) / (x2 - x1) = (10 - 6) / (3 - 1) = 2    slope of line

y = m x + b standard form of straight line

y = 2 x + b      where b is the intercept at x = 0

b = y - 2 x

b = 6 - 2 = 4    from our first equation

Also, b = 10 - 6 = 4       check from second equation

y = 2 x + 4    is our equation

Check if y = 6 and x = 1 then

y = 2 * 1  + 4 = 6   verifying the first point given

Identify the equation of the circle that has its center at (9, 12) and passes through the origin.

Answers

Answer:

(x-9)^2 +(y-12)^2 = 225

Step-by-step explanation:

First find the length of the radius

If is the distance from the center to the point

d = sqrt( (x2-x1)^2 + (y2-y1)^2 )

   = sqrt( (0-9)^2 + (0-12)^2)

   = sqrt ( 81+144)

  = sqrt(225)

  = 15

The equation for a circle is

( x-h) ^2+ (y-k)^2 = r^2

(x-9)^2 +(y-12)^2 = 15^2

(x-9)^2 +(y-12)^2 = 225

need help with this!!

Answers

Answer:

{ 1,3,4,6,7}

Step-by-step explanation:

Do B∩C first

This is B intersect C which  means what they have in common

B∩C = {3,6,7}

Then A∪(B∩C)

A union   {3,6,7} which means join together ( combine with no duplicates) the two sets

{ 1,3,4,6,7}

Bob placed a 17- foot ramp against the side of a house so the ramp rested on a ledge that is 8 feet above the ground. How far was the base of the ramp from the house?

Answers

15ft

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

Now graph the points C(2, 8) and D(8, 7). (Try entering the coordinates through the input window.) Measure the lengths of and . Do the points C and D lie on the circle? How do you know? Take a screenshot showing the points and their distances from the center, and paste it below.

Answers

Answer:

this was from plato

Step-by-step explanation:

Answer:

Any point on the circle must be at a distance from the center equal to the length of the circle’s radius. In this example, the radius is 3.61 units, AC = 4.24, and AD = 3.61. Point D, which lies on the circle, has the same distance from the center as the length of the radius. Point C, which lies outside the circle, is at a different distance from the center than the length of the radius.

What could be the coefficient of x once the variable term is isolated on one side of the equation? Check all that apply.
3x - 6(5x + 3) = 9x + 6

1. Distribute: 3x - 30x - 18 = 9x + 6

2. Combine like terms: -27x - 18 = 9x + 6
–36
–27
–24
24
27
36

Answers

Answer:

-36,36

Step-by-step explanation:

3x - 6(5x + 3) = 9x + 6

 Distribute:

3x - 30x - 18 = 9x + 6

Combine like terms:

-27x - 18 = 9x + 6

There are two possible ways to isolate x

On the left

Subtract 9x from each side

-27x - 18 -9x = 9x-9x + 6

-36x -18 = 6

On the right

Add 27x from each side

-27x - 18 +27x = 9x+27x + 6

-18 =36x+ 6

Anybody knows the answers to the monomial functions ?

Answers

Step-by-step explanation:

A monomial function is an expression with only one term. ... For example, a polynomial function is the sum of many monomial functions; If there's only one term in a polynomial function, then it is a monomial function [2]. Monomial functions can take many forms: A monomial (a number by itself is a “monomial”).

What value of x will make the equation true?

(Square Root of 5) (square root of 5)=x

Answers

Answer:

(2.236067978)(2.236067978)

=5 ans.

If this is incorrect forgive me

I hope this will help you

stay safe

Which expression is equivalent to ((2x²) (3x) (4x)??
A.24x7
B.48x?
C.9677
D.576x12

Answers

Answer:

24x^4

Step-by-step explanation:

((2x²) (3x) (4x)

Add the exponents when multiplying

2*3*4 x^(2+1+1)

24x^4

Answer two questions about Equations A and B:
A. 3(x+2) = 18
B.
r + 2 = 6
1) How can we get Equation B from Equation A?

Answers

Step-by-step explanation:

3x+6=18

3x=18-6

3x=12

x=4

convert into power notation -1/81​

Answers

Answer:

-1/9^2 is the power notation for your questions

Step-by-step explanations

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