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

Explain how to solve the equation
.
b – 7 = 12

Answers

Answer:

19

Step-by-step explanation:

Add 7 onto 12 to find answer.

Answer:

b = 19

Step-by-step explanation:

b = 12 + 7

Simplify 12+7 to 19.

Solve for hhh: h-\left(-2.22\right)=-7.851h−(−2.22)=−7.851h, minus, left parenthesis, minus, 2, point, 22, right parenthesis, equals, minus, 7, point, 851 h =h=h, equals

Answers

The question isn't well formatted ; however, from what can be deduced from the question posted :

Answer:

- 10.071

Step-by-step explanation:

Given the expression :

Solve for hhh: h-\left(-2.22\right)=-7.851h−(−2.22)=−7.851h, minus, left parenthesis, minus, 2, point, 22, right parenthesis, equals, minus, 7, point, 851 h =h=h, equals

Expressing Mathematically :

h - (- 2.22) = - 7.851

Opening the bracket :

h + 2.22 = - 7.851

Subtract 2.22 from both sides :

h + 2.22 - 2.22 = - 7.851 - 2.22

h = - 10.071

multiply
12/18×10/18
lesson name fraction.
find me out this question for answer​

Answers

Here you go
Hope it’s helps

Pls help hella lost

Answers

L = -4,4
E = -2, -3
N = 2,1
I = 4,3
E = 1,3

I think of a number, double it and the result is 9. Evaluate the number that I first thought of

Answers

Answer:

4.5

Step-by-step explanation:

9/2 = 4.5

CAN SOMEONE HELP PLEASE

Answers

Answer:

72

The result is rational because it can be written as the ratio of two integers and its decimal expansion can terminate or repeat.

Answered by GAUTHMATH

If yk please help thank you

Answers

Answer: No real solution

Step-by-step explanation:

Resolve the expression [tex]\frac{(x-2)}{(x^{2} +1)(x-1)^{2} }[/tex] into the simplest partial fractions

Answers

The partial fraction expansion will look like

(x - 2)/((x ² + 1) (x - 1)²) = (ax + b)/(x ² + 1) + c/(x - 1) + d/(x - 1)²

Get everything in terms of a common denominator, and compare the numerators on both sides:

x - 2 = (ax + b) (x - 1)² + c (x ² + 1) (x - 1) + d (x ² + 1)

Expand the right side:

x - 2 = (ax + b) (x - 1)² + c (x ² + 1) (x - 1) + d (x ² + 1)

x - 2 = (a + c) x ³ + (-2a + b - c + d) x ² + (a - 2b + c) x + b - c + d

Match up the coefficients and solve the resulting system of equations:

a + c = 0

-2a + b - c + d = 0

a - 2b + c = 1

b - c + d = -2

==>   a = -1, b = -1/2, c = 1, d = -1/2

So the expansion into partial fractions is

(x - 2)/((x ² + 1) (x - 1)²) = (-x - 1/2)/(x ² + 1) + 1/(x - 1) - 1/(2 (x - 1)²)

… = -(2x + 1)/(2 (x ² + 1)) + 1/(x - 1) - 1/(2 (x - 1)²)

Find the area of the triangle with sides 40, 50, and 60.

a. 75 square units
b. 992.2 square units
c. 3000 square units
d. 114.6 square units

Answers

I think it’s B I don’t know that’s my guess

\HURRY PLZ
evaluate k divided (-11) for k=33

Answers

Answer:

-3

Step-by-step explanation:

k/-11

Let k =33

33/ -11

-3

Answer:

-3

Step-by-step explanation:

33/-11 = -3

NOTE

division and multiplication = negative

addition and subtraction are a pair.

I hope this helped!

Given the mean of a random variable, X, is 10 and P(X < 11) = 0.67. Find the standard deviation.

Answers

Answer:

Step-by-step explanation:

This is the problem we need to solve:

[tex]z=\frac{x_i-\bar{x}}{\sigma}[/tex] and we have everything but the z-score (which we find from a table) with our main unknown being the standard deviation.

If the probability that a random variable that is less than 11 is .67, we first have to find the z-score from the table that is closest to .67, and there are 2:

P(z < .43) = .66640 and P(z < .44) = .67003

We'll use z = .44

[tex].44=\frac{11-10}{\sigma}[/tex] and

[tex].44=\frac{1}{\sigma}[/tex] and

[tex]\sigma=\frac{1}{.44}[/tex] so

σ = 2.27 (check it; it works!)

cho tứ giác ABCD. Gọi M,N,P,Q là trung điểm của các cạnh AB, CD, AD, BC. Chứng minh rằng vecto MP = vecto QN, vecto MQ = vecto PN

Answers

Answer:

Step-by-step explanation:

Xét tam giác DAB có: P là trung điểm AD, M là trung điểm AB

=> MP là đường trung bình của tam giác DAB => MP//BD và MP=[tex]\frac{1}{2}[/tex]BD  (1)

Xét tam giác DBC có: N là trung điểm DC, Q là trung điểm BC

=> QN là đường trung bình của tam giác DBC => QN//BD và QN=[tex]\frac{1}{2}[/tex]BD  (2)

Từ (1) và (2) => vecto MP song song cùng chiều với vecto QN

và độ dài MP = độ dài QN = [tex]\frac{1}{2}[/tex]BD

=> vecto MP = vecto QN

Tương tự xét các tam giác DAC và tam giác ABC => vecto MQ = vecto PN

I need help with this does anybody know the answer

Answers

Answer:

X = 50; Y = 50

Answers are the same by following the correct order of operations.

Step-by-step explanation:

This problem deals with the correct order of operations. Multiplication is done before addition.

22 * 2 + 6 = X

44 + 6 = X

X = 50

6 + 22 * 2 = Y

6 + 44 = Y

Y = 50

The answers are the same despite the order in which the operations were written since by following the correct order of operations, you must do the multiplication first in each chase.

which steps should be used to graph the equation y-4=1/3 (x+2)

Answers

Answer:

y - 4 = 1/3 (x + 2)

3 y - 12 = x + 2

3y = x + 14

y = x / 3 + 14 / 3

Using y = m x + b    as the equation for a standard line

We see that equation represents a line with slope of 1/3

When x = 0  the y-intercept is 14 /3

a shipping boox has the dimentsions what is the volume of the box in cubic yards

Answers

Answer: 1/32

Step-by-step explanation:

hurry up pls!!! i need some help quick fast plssss!!!!

Answers

Answer:

45

Step-by-step explanation:

9 x 5 = 45

it's a multiplication question

What is the measure of

Answers

It’s A trust me I just did it

Which label on the cone below represents the center of the base?
D
B
Ο Α
OB

Answers

Answer:

C

Step-by-step explanation:

The center of the base is the center of the circle

The center of the circle is C

Which of the following is written as a rational function

Answers

I guess it’s letter B

The function written in the rational form is, C. F(x) = (x - 5)/3x

What are rational numbers?

Rational numbers are subsets of real numbers which can be written in the form of p/q, where q ≠ 0. As at q = 0 it is undefined.

Similarly, A rational expression is also written in the form of p/q, where p and q are algebraic expressions and q ≠ 0.

From the given options, F(x) is written in the form p/q,

Where, p = x - 5 and q = 3x.

Therefore, The rational function is, F(x) = (x - 5)/3x, where x ≠ 0.

As at x = 0 the function is undefined.

learn more about rational functions here :

https://brainly.com/question/27914791

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plz give me this ans by explaining​

Answers

Answer:

I don't know what to do so I just answered the volume of this tell me if I am wrong

Step-by-step explanation:

radius : 3.5 cm

volume : ?

now,

volume (v) : π × r (2)

: 22/7 × 3.5(2)

:22×3.5×3.5 by 7

therefore,

the volume is 38.5

The curve C has parametric equations x = t², y = (2 - t)^1/2, for 0 ≤ t ≤2.
Find d2y/dx2 in terms of t.
Can I have the full workings also please?

Answers

Answer:

y''=(4-3t)/[16 t^3 (2-t)^(3/2)]

Step-by-step explanation:

x = t², y = (2 - t)^1/2

dy/dx=dy/dt×dt/dx by chain rule

dy/dt=1/2 (2-t)^(1/2-1) × (-1)

dy/dt=-1/2 (2-t)^(-1/2)

dy/dt=-1/[2(2-t)^(1/2) ]

dx/dt=2t

dy/dx=-1/[2(2-t)^(1/2) ] × 1/[2t]

dy/dx=-1/[4t (2-t)^(1/2) ]

We need to find the second derivative now.

That is we calculate d/dt(dy/dx in terms of t) then divide by derivative of x in terms of t).

dy/dx=-1/[4t (2-t)^(1/2) ]

Let's find derivative of this with respect to t.

d/dt(dy/dx)=

[0[4t (2-t)^(1/2)]-(-1)(4(2-t)^(1/2)+-4t(1/2)(2-t)^(-1/2))]/ [4t (2-t)^(1/2) ]^2

Let's simplify

d/dt(dy/dx)=

[(4(2-t)^(1/2)+-4t(1/2)(2-t)^(-1/2))]/ [4t (2-t)^(1/2) ]^2

Continuing to simplify

Apply the power in the denominator

d/dt(dy/dx)=

[(4(2-t)^(1/2)+-4t(1/2)(2-t)^(-1/2))]/ [16t^2 (2-t) ]

Multiply by (2-t)^(1/2)/(2-t)^(1/2):

d/dt(dy/dx)=

[(4(2-t)+-4t(1/2)]/ [16t^2 (2-t)^(3/2)]

Distribute/multiply:

d/dt(dy/dx)=

[(8-4t+-2t)]/ [16t^2 (2-t)^(3/2)]

Combine like terms:

d/dt(dy/dx)=

[(8-6t)]/ [16t^2 (2-t)^(3/2)]

Reducing fraction by dividing top and bottom by 2:

d/dt(dy/dx)=

[(4-3t)]/ [8t^2 (2-t)^(3/2)]

Now finally the d^2 y/dx^2 in terms of t is

d/dt(dy/dx) ÷ dx/dt=

[(4-3t)]/ [8t^2 (2-t)^(3/2)] ÷ 2t

d/dt(dy/dx) ÷ dx/dt=

[(4-3t)]/ [8t^2 (2-t)^(3/2)] × 1/( 2t)

d/dt(dy/dx) ÷ dx/dt=

[(4-3t)]/ [16t^3 (2-t)^(3/2)]

Or!!!!!!

x = t², y = (2 - t)^1/2

Since t>0, then t=sqrt(x) or x^(1/2).

Make this substitution into the equation explicitly solved for y:

y = (2 - x^1/2)^1/2

Differentiate:

y' =(1/2) (2 - x^1/2)^(-1/2) × -1/2x^(-1/2)

y'=-1/4(2 - x^1/2)^(-1/2)x^(-1/2)

y'=-1/4(2x-x^3/2)^(-1/2)

Differentiate:

y''=1/8(2x-x^3/2)^(-3/2)×(2-3/2x^1/2)

y''=(2-3/2x^1/2)/[8 (2x-x^3/2)^(3/2)]

Replace x with t^2

y''=(2-3/2t)/[8 (2t^2-t^3)^(3/2)]

Multiply top and bottom by 2

y''=(4-3t)/[16 (2t^2-t^3)^(3/2)]

Factor out t^2 inside the 3/2 power factor:

y''=(4-3t)/[16 (t^2)^(3/2) (2-t)^(3/2)]

y''=(4-3t)/[16 t^3 (2-t)^(3/2)]

the ratio of corresponding side of similar triangles is 5:2, then find the ratio of their areas ​

Answers

Answer:

25:4

Step-by-step explanation:

The ratio of the sides is 5:2

The ratio of the areas is the scale factor squares

5^2 : 2^2

25:4

Your monthly finance charge is based on your interest rate and your balance, the higher your interest rate, the higher your finance charge will be.
True
False

Answers

Answer:

True

Step-by-step explanation:

If you don't pay by the deadline, interest rate will contribute to your finance charge.

I think it would be true

WILL MARK BRAINLIEST!! Multiply. −1/2⋅3/4 a)−2/3 b) −3/8 c) 3/8 d)2/3

Answers

Answer:  B)  -3/8

Explanation:

When multiplying fractions, we multiply the numerators together, and the denominators are handled separately.

The numerators in this case are -1 and 3. They multiply to -3

The denominators multiply to 2*4 = 8

So that's how we end up with -3/8 as the final answer

This fraction cannot be reduced any further, because 3 and have 8 no factors (other than 1) in common.

Find the length of BC..

Answers

Answer:

45.1

Step-by-step explanation:

m<A = 51°

For angle A, BC is the opposite leg.

AB is the hypotenuse.

sin A = opp/hyp

sin 51° = BC/58

BC = 58 * sin 51°

BC = 45.1

Questions
Steve played a car race game. He gained some points, lost 27 points, and
finished with less than 400 points. Which of the following inequality
represents the given situation?
A.)X - 400 < 27
B.)x + 27 < 400
C.)X - 27 > 400
D.) X - 27 < 400

Answers

I think it’s c

Can I have brainliest ?

According to the information we can infer that the correct inequality that represents the given situation is D.) X - 27 < 400.

Which inequality does represent the given situation?

Let's break down the information provided: Steve gained some points, lost 27 points, and finished with less than 400 points. To represent the number of points Steve had initially, let's use 'X'.

After gaining some points, his total would be X + G, where G represents the gained points.After losing 27 points, his total would be X + G - 27.

Since he finished with less than 400 points, we can express this as X + G - 27 < 400.

Simplifying the equation, we get X - 27 < 400.

According to the above we can conclude that the correct inequality that represents the given situation is D.) X - 27 < 400.

Learn more about inequality in: https://brainly.com/question/20383699
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Convert this rational number to its decimal form and found to the nearest thousands?

Answers

Answer:

7 and 1 respectively

Step-by-step explanation:

1/7= 7 ) 1 (, the basic definition of division

find the area of the right triangle

Answers

Answer:

the area of right angle is 1.5×2.5=3.75

Answer:

1.5 units^2

Step-by-step explanation:

If we say that the missing side is x, we can use the pythatgorean theorem to find it.

1.5^2 + x^2 = 2.5^2  =>  2.25 + x^2 = 6.25  =>  x^2 = 4  =>  x=2

The area of a triangle is hieght * base * 1/2 => 1.5 * 2 * 1/2 = 1.5

Amazon hires you as their data analysist. You have to make a presentation
to their board of directors about which shipping method they should invest
an additional $10 million in. The data they provide you is below.

Please help due today

Answers

Answer:

standard= 21.333%

prime= 42.666%

expedited= 6.666%

locker= 29.333%

. A research study about test anxiety will measure the change in heartrate of the test-taker. The researcher randomly assigns participants into one of two groups, either the Test group or the No-test group (where the first group takes a timed test and the second group reads for the same amount of time). What is the operational definition of the independent variable

Answers

Answer:

Timed test.

Step-by-step explanation:

An operational definition gives exactly what the independent variable means and its mode of measurement. The Independent variable is the variable in a research or experimental study which causes a change in the the measured variable. Hence, the independent variable is the predictor variable. In the study above, the independent variable is the timed test which is used to observe changes in the heart rate of the test taker (test anxiety). The change innheartrate of the test taker is the dependent variable.

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