urgenttttt What is the value of x? A right triangle has a vertical hypotenuse labeled 6. A 30 degree angle is marked at the top of the triangle. A second right triangle has a leg that is the same as the side opposite the 30 degree angle of the first triangle. On the second right triangle, the hypotenuse is labeled x and an angle is labeled 45 degrees. Enter your answer, as an exact value, in the box. x =

Answers

Answer 1

Answer:

x=30degrees

Step-by-step explanation:

the diagram, if drawn comes as a square. when divided to two triangles, both of them have one right angle each. if the hypotenuse is thirty d on one side, the opposite angle has to be 60d . since the total of all angles is 180d and one side is 90d and the other 60d, the other angle must me 30d

Answer 2

The length of Hypotenuse is 3√2 unit.

What is Trigonometry?

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Angle= 45 degrees

Hypotenuse = x

Using Trigonometry in Triangle 1

sin 30 = P/ 6

1/2 = P/6

P= 3 unit

Now, In triangle 2

cos 45 = 3/H

1/√2 = 3 / H

H= 3√2 unit

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Related Questions

What is the answer to 15a + 9 =

Answers

Answer:

  [tex]a=-\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]15a-9=0\\\\15a=-9\\\\a=-\frac{9}{15} \\\\a=-\frac{3}{5}[/tex]

Answer:

Step-by-step explanation:

Use distributive property

15a + 9 = 3*5*a + 3*3

           = 3 (5a + 3)

PLEASE HELP!! 85 POINTS!!

Answers

Answer:

20

Step-by-step explanation:

Angle EAC and angle GCJ are corresponding angles.

So angle EAC is equal to 70 degrees.

Angle KAE is a right angle, so it is 90 degrees.

Angles on a line add up to 180 degrees.

x + 90 + 70 = 180

x = 180 - 160

x = 20

Answer:

The measurement of ∠x is 20°

Step-by-step explanation:

From this problem, we are given a few pieces of information. First we know that DE is parallel to FG. We also know that KL is perpendicular to FG. Perpendicular means that the angles from KL and FG are going to form right angles.

So, knowing this, we can start off my saying that the measurement of ∠KAE is 90°.

We can also say that the measurement of ∠IAD is 70° because it is correspondent to ∠JCG and corresponding angles have the same measurements.

So, now we can find x. Set up equation.

70 + x + 90 = 180

Add 70 to 90.

x + 160 = 180

Subtract 160 on both sides.

x = 20

So, the value of x is 20°

What's the correct answer to both of these?

Answers

Answer:

See explanation.

Step-by-step explanation:

1) The correct answer is B.

2) The correct answer is D.

To find the answer, plug the equations into Desmos.

If this helped, please mark Brainliest :D

Write a coordinate proof. Prove quadrilateral KLMN, having vertices K(–5, –4), L(0, 8), M(7, 4), and N(8, –4) is not a parallelogram.

Answers

Answer:

From the calculation,

KL = 13

NM = √65

Hence KL ≠ NM

Therefore, the quadrilateral KLMN is not a Parallelogram.

Step-by-step explanation:

K(–5, –4), L(0, 8), M(7, 4), and N(8, –4)

Where we have vertices, (x1, y1) , (x2, y2)

We use the formula

√(x2 - x1)² + (y2 - y1)²

Side KL = K(–5, –4), L(0, 8)

√(x2 - x1)² + (y2 - y1)²

√(0 - (-5))² + (8 - (-4))²

√ 5² + 12²

√25 + 144

= √169

= 13

Side KN = K(–5, –4), N(8, –4)

√(x2 - x1)² + (y2 - y1)²

√(8 -(-5))² + (-4 - (-4))²

√13² + 0²

√169

=13

Side MN = M(7, 4), N(8, –4)

√(x2 - x1)² + (y2 - y1)²

√(8 -7)² + (-4 - 4)²

√1² + (-8)²

√1 + 64

√65

Side LM = L(0, 8), M(7, 4),

√(x2 - x1)² + (y2 - y1)²

√(7-0)² + (4 - 8)²

√(49)² +(-4)²

√ 49 + 16

√65

We were asked in the above question to prove that the quadrilateral with the given vertices is not a Parallelogram.

One of the characteristics of a Parallelogram is that the opposite sides are parallel and congruent to one another. This means that, the opposite sides are similar .

For the Quadrilateral KLMN above to be a Parallelogram, this means

KL = NM

From the above calculation,

KL = 13

NM = √65

Hence KL ≠ NM

Therefore, the quadrilateral KLMN is not a Parallelogram.

Make 'P' the subject in the formula A = P(1+r)T

Answers

P=A/(1+r)T

Step-by-step explanation:

1) p(1+r)=A/T

2)P=A/(1+r)T

Answer:

P=A/(T+Tr)

Step-by-step explanation:

A = P(1+r)T

Multiply P and T

A=PT(1+r)

Clear the bracket by multiplying all bracketed terms by PT

A=PT+PTr

A=P(T+Tr)

Divide both sides by (T+Tr)

A/(T+Tr)=P(T+Tr)

P=A/(T+Tr)

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. Let m represent the number of magazines and b represent the number of books. Which equation models the situation?

Answers

Answer:

3.95m + 8.95b = 47.65

Step-by-step explanation:

m is the number of magazines, and b is the number of books.  If it costs $3.95 for each magazine, you will get 3.95m.  If it costs $8.95 for each book, you will get 8.95b.  Both of these values add up to the total, which is $47.65.

3.95m + 8.95b = 47.65

Answer:) 3.95m+8.59b=47.65

Step-by-step explanation:) edge 2023

Find the slope of the line that passes through:
(-2,-5) and (8, -11)

Answers

Answer:

Slope=  [tex]\frac{-3}{5}[/tex]

Step-by-step explanation:

(-2 , -5)  ; (8,-11)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-11-[-5]}{8-[-2]}\\\\=\frac{-11+5}{8+2}\\\\=\frac{-6}{10}\\\\=\frac{-3}{5}[/tex]

Which number is a perfect cube?
O9
O 18
0 27
O 36

Answers

Answer:

27

Step-by-step explanation:

9 is not a perfect cube.

18 is not a perfect cube.

27 is a perfect cube.

∛27 = 3

36 is not a perfect cube.

Answer:

27

Step-by-step explanation:

We want a number time itself times itself

27 = 3*3*3

27 = 3^3

A car travels at a speed of 41 meters/second using 756 joules of energy every second. Suppose we know that the car uses 52,700 joules of energy. Set up a calculation to find the number of meters the car travels with this amount of energy.

Answers

Answer:

Heres a screenshot with the answers I got from someone who commented:

Edit: Credits- saltern20333

Answer:

Step-by-step explanation:

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

Answers

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

A. (-6, 0)

B. (0, -6)

C. (0, 2)

D. (2, 0)

The graph of the question is attached.

Answer:

The point is (x, y) = (0, 2)

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

Step-by-step explanation:

From the given graph, the points A and B are

[tex](x_1, y_1) = (-2, 4) \\\\(x_2, y_2) = (2,-8) \\\\[/tex]

The slope of the equation is given by

[tex]m_1 = \frac{-8 - 4 }{2 -(-2)} \\\\ m_1 = \frac{-12 }{2+2} \\\\m_1 = \frac{-12 }{4} \\\\m_1 = -3 \\\\[/tex]

We know that the slopes of two perpendicular lines are negative reciprocals of each other.

[tex]m_2 = - \frac{1}{m_1}[/tex]

So the slope of the other line is

[tex]m_2 = \frac{1 }{3} \\\\[/tex]

Now we can find the equation of the line that is perpendicular to the line AB and passes through the point C.

From the graph, the coordinates of point C are

[tex](x_1, y_1) = (6, 4)[/tex]

The point-slope form is given by,

[tex]y - y_1 = m(x -x_1)[/tex]

Substitute the value of slope and the coordinates of point C

[tex]y - 4 = \frac{1 }{3} (x - 6)\\\\[/tex]

To get the y-intercept, substitute x = 0  

[tex]y - 4 = \frac{1 }{3} (0 - 6) \\\\y - 4 = \frac{-6 }{3}\\\\y - 4 = -2\\\\y = 4 -2 \\\\y = 2 \\\\[/tex]

So, the point is

[tex](x, y) = (0, 2)[/tex]

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

Answer:

C (0, 2)

Step-by-step explanation:

Please answer this question fast in two minutes

Answers

Answer:

lines NP and OP are intersecting

Step-by-step explanation:

they touch at point P

HELP PLZZZZZZZZZZZ!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

sohcahtoa for right triangles

Answer:

No, because triangle XYZ is not a right triangle

Step-by-step explanation:

Since this is not a right triangle, we cannot use trig functions

1) Expand the following expressions
(a) 2(x + 6)​

Answers

Answer:

2x + (2 × 6)

since we are expanding, we represent 2 multiplying to every expression in the given parentheses

Answer:

2x+12

Step-by-step explanation:

2(x + 6)​

Distribute

2*x + 2*6

2x+12

Mr. Hughes has contributed $4000.00 per year for the last ten years into a RRSP account earning 9.00% compounded annually. Suppose he leaves the accumulated contributions for another five years in the RRSP at the same rate of interest. A) How much will Mr. Hughes have in total in his RRSP account? B) How much did Mr. Hughes contribute? C) How much will be interest?

Answers

Answer:

A) $93,504.818

B) $40,000

C) $53,504.818

Step-by-step explanation:

Yearly contribution ( periodic payment) = $4000

Period (p) = 10years

Additional period(y) = 5years

Annual interest(r) = 9% = 0.09

Future value (FV) =

periodic payment [(1 + r)^y - 1] / r

4000 [(1 + 0.09)^10 - 1 / 0.09]

4000[1.09^10 - 1 / 0.09]

4000[1.3673636 / 0.09]

4000(15.192929)

= 60771.716

If left for five more years:

FV = 60771.716(1 + r)^n

FV = 60771.716(1 + 0.09)^5

FV = 60771.716(1.09)^5

FV = 60771.716(1.5386239549)

FV = $93,504.818

B) MR. HUGHES CONTRIBUTION :

Periodic payment × p ; $4000 was deposited annually for 10 years.

$4000 × 10 = $40,000

C) Interest = Future value - contribution

$93,504.818 - $40,000

= $53,504.818

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Answers

Answer:

Hey there!

A proportional relationship would be a straight line, and this line clearly is not. Thus, this is not a proportional relationship.

Hope this helps :)

Answer:

no

Step-by-step explanation:

Without diving in the calculations you can notice that the line isn't straight so this is not a proprtional relationship

Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75°. What is the measure of angle CFD? 105° 125° 150° 165°

Answers

Answer:

105 degrees

Step-by-step explanation:

Angle DEF measures 75°.Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE.

the angles all together is 180 degrees

so 180 - 75 = 105 degrees

The measure of angle CFD is 105 degrees.

What is the angle sum property?

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Angle DEF = 75°.

Triangle DEF is isosceles, so Angle DEF Is-congruent-to Angle DFE.

Angle DFE + Angle CFD = 180  (angle on a straight line)

so 180 - 75 = 105 degrees

Thus, Angle CFD = 105 degree

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Translate into an algebraic expressions: b is decreased by 40% and decreased again by 40% . What is the result ?

Answers

Answer:

Result = 9b/25 or 36b/100

Step-by-step explanation:

The number is b

step 1

b is decreased by 40%

value of 40% of b = 40/100 *b = 4b/10

New value after this change = b - 40% decreased value of b = b -4b/10

= (10b-4b)/10 = 6b/10

Step 2 The new value obtained is again decreased by 40%

value of 40%  number found in step 1 =  40% of value found in step 1

value of 40%  number found in step 1 =  40/100 * 6b/10 = 24b/100

This value (24b/100) is subtracted from value found in step 1(6b/10) as given that  value obtained is decreased by 40%

new value found after 40% decrease = 6b/10 - 24b/100

new value found after 40% decrease = 60b/100 - 24b/100= 36b/100

new value found after 40% decrease =  36b/100 = 9b/25

Thus, the result of b is decreased by 40% and decreased again by 40% is 9b/25

*remember to always be nice!

Have an outstanding day

The final Result is 36x/25

What is Algebra?

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division.

Algebraic Expressions

An algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.

Given:

let the number be x

x is decreased by 40%

40% of x = 40/100 * x = 4x/10

After decreasing

= x- 4x/10

=6x/10

Again decreasing 40%

Then , the value will be

= 6x/10- 0.4*6x/10

=6x/10- 02.4x/10

= 3.6x/10

= 36x / 100

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Answers

Answer:-1

Step-by-step explanation:

Which of these is the statement of zero product rule?

Answers

Answer:A

Step-by-step explanation: if a•b=0 then either a=0 or b=0 or both

The statement of the zero product rule is if a•b=0 then either a=0 or b=0  or both.

We have given that the statements

if a•b=0 then either a=0 or b=0 or both

if a•b=0 then a=0 or b=0.

if a•b=0 then either a=0 or b=0 but not both

if a•b=0 then a=0.

We have to find the statement of zero divisors,

What is the statement of zero divisors?

If R is a ring other than the zero ring, then 0 is a (two-sided) zero divisor, because any nonzero element x satisfies 0a = 0 = a0.

Then the zero product is defined as,

The zero product property states that if a⋅b=0 then either a or b equal zero

Therefore option A is correct.

if a•b=0 then either a=0 or b=0 or both.

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Which equation has no solution A.) 4(x+3)+2x=6(x+2) B.) 5+2(3+2x)=x+3(x+1) C.) 5(x+3)+x=4(x+3)+3 D.) 4+6(2+x)=2(3x+8)

Answers

Answer:

B. 5+2(3+2x)=x+3(x+1)

Step-by-step explanation:

Expand the brackets.

5 + 6 + 4x = x + 3x + 3

11 + 4x = 4x + 3

Add -4x and -11 on both sides.

4x - 4x = 3 - 11

0 = -8

There are no solutions.

Answer:

B

Step-by-step explanation:

I could explain this to you by using process of elimination but I think it would be easier to explain to you straight forward why answer choice B has no possible answers. First I did the equation out on a piece of paper:

5 + 2(3 + 2x) = x + 3(x + 1)

  5 + 6 +4x   = x + 3x +3

       11 + 4x   =   4x +3

Now we have 4x + 3 = 4x + 11. It is impossible for 4x to be added to two entirely different numbers and still produce the same outcome, so that is why B is the correct answer choice.

Which equation can be used to find the measure of angle BAC? A.) inverse tan (5/12) B.) inverse cos (5/13) C.) inverse sin (12/5) D.) inverse tan (12/13)

Answers

Answer:

B

Step-by-step explanation:

The angle that has tan 5 / 12 is ∠ABC so A is not the answer. The angle that has cos 5 / 13 is ∠BAC so B is the answer.

The company calculates that 500 g of titanium dioxide should produce 1.2 kg of titanium chloride. However, the company finds that 500 g of titanium dioxide only produces 900 g of titanium chloride. Calculate the percentage yield.

Answers

Answer:

75%

Step-by-step explanation:

Percent yield = experimental yield / theoretical yield * 100

= 900 / 1200 * 100   (remember that 1,000 g = 1 kg)

= 75

ABCD is a rectangle.
Use the diagram to answer the questions.
The length of AB is __
The length of BC is __
The length of AC is __

Answers

AB = 12
BC = 5
AC = 3

To find AC, we can use the pythagoras theorem, square root of 12 power of 2 + 5 power of 2 and we can get 12. Hope this help!

Answer:

12

5

13

Step-by-step explanation:

The length of a rectangle is 2 less than 3 times its width. If the area of the rectangle is 96cm², what is the length of the rectangle?

Answers

Answer: The length is 16 cm

Step-by-step explanation:

L= 3w -2   w × L = 96  substitute for L

w(3w -2) =96

3w² -2w = 96

3w² -2w - 96 = 0  factor this

(3w + 16)(w -6) = 0  Set the w-6 factor equal to 0 and solve for w (The 3w + 16 will yield a negative number; real rectangles can't have negative dimensions!)

w-6 = 0   so w = 6

Original equation for L  L =3w -2    substitute 6 for w

L = 3(6) - 2   = 18 -2

L = 16

rene is 6 years older than her younger sister after 10 years the sum of their ages will be 50 find their persent ages

Answers

Answer:

Rene = 18

Sister = 12

Step-by-step explanation:

Let

Rene's age be 6+x

Her sister's age be x

Given that:

6+x+10+x+10 = 50

To calculate their ages, we have to find out the value of x. To find the value of x, rearrange and solve the above equation:

6+x+10+x+10 = 50

26 + 2x = 50

2x = 50-26 = 24

x = 12

We said at the start that Rene's age was 6+x, so her age = 12+6 = 18

Rene's sister's age = x = 12

Hope this helps

Answer:

18 , 12

Step-by-step explanation:

R -Rene age

R-6= age of her sister

after 10 years Rene age=R+10

                        her sister age= R-6+10=R+4

so R+10+R+4=50

      2R+14=50

        -14      -14

       2R=36

       :2      :2

         R=18  ( Rene age)

          18-6=12 ( her sister age)

Elle, Jonah and Mandy shared some game cards in the ratio 2:3:7. Each of
them would have received 152 game cards each if the game cards were
distributed equally. How many more game cards did Mandy receive than Elle? Please do a step by step explanation.​

Answers

Answer:

190 cards

Step-by-step explanation:

Elle, Jonah and Mandy shared the game cards in the ratio 2 : 3 : 7. The total ratio is:

2 + 3 + 7 = 12

If they were shared equally, they would each receive 152 cards, this means that the total number of cards they received is:

152 * 3 = 456 cards

Elle's share is therefore:

2 / 12 * 456 = 76 cards

Mandy's share is:

7 / 12 * 456 = 266 cards

Therefore, the number of cards that Many received more than Elle is:

266 - 76 = 190 cards

The vertices of are D(7, 3), E(4, -3), and F(10, -3). Write a paragraph proof to prove that is isosceles.

Answers

Answer:

See explanation

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x2 - x1)^2+(y2-y1)^2}[/tex]

Isosceles Triangle: 2 sides are the same

[tex]d = \sqrt{(4 - 7)^2+(-3-3)^2} = 3\sqrt{5}[/tex]

[tex]d = \sqrt{(10-4)^2+(-3+3)^2} = 6[/tex]

[tex]d = \sqrt{(10-7)^2+(-3-3)^2} = 3\sqrt{5}[/tex]

Since we have 2 distances between the vertices the same, we have an isosceles triangle.

Factored completely, the expression 2y^2 + 12y-54 is equivalent to

a. 2(y + 9)(y - 3)
b. 2(y - 3)(y-9)
c. (y+ 6)(2y - 9)
d. (2y + 6)(y-9)​

Answers

1. Factor out the 2: 2(y^2+6y-27)
2. What numbers multiply to -27 and combine to 6: 9 and -3.
3. 2(y-3)(y+9).

So the answer is A.
The answer would be a.

If the equation below is solved by graphing, which statement is true? log (6 x + 10) = log Subscript one-half x Answer choices: The curves intersect at approximately x = 0.46. The curves intersect at approximately x = 0.75. The curves intersect at approximately x = 1.11. The curves intersect at approximately x = 3.07.

Answers

Answer:

Option A -- 0.46

Step-by-step explanation:

The answer is the x-coordinate of the point of intersection, which is 0.46

The true statement about the equation when it's solved by graphing is A. The curves intersect at approximately x = 0.46.

How to solve the equation?

From the information given, the equation is given as log(6x + 10) = log 1/2x

In this case, we have both sides log function. Therefore, y1 = log(6x + 10) while y2 = log 1/2x.

By using graphing, it can be deduced that one will draw both graph on the same coordinate place.

From the graph, y1 and y2 simply intersect at point (0.46,1.12)

Therefore, the curve intersect at approximately x=0.46.

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Answers

Answer:

6. E

7. D

8. 5,-8,34

Step-by-step explanation:

A. Parallel to the y-axis and passes through the point (3,5)

For it to be parallel to the y-axis, what this means is that it has an x-intercept and no y intercept.

So what this means is that x = 3 is our line so E is correct

B. Perpendicular to the y-axis means it is parallel to the x-axis

It means is has no x intercept and thus its x value at any point in time is zero

So the equation is y = -5

or simply y + 5 = 0 which means D is correct

C. It is parallel to the line 5x -8y + 12 = 0

Thus: 8y = 5x + 12

dividing both sides by 8

y = 5x/8 + 12/8

y = 5x/8 + 3/2

y = 5x/8 + 1.5

Comparing this with the general equation of a straight line ;

y = mx + c

where m is that slope, this means that 5/8 is the slope of the line

Mathematically if two lines are parallel, they have equal slopes.

So we can say the slope of the other line too is 5/8

Now to find the equation of the other line, we can use the point-slope method

y-y1 = m(x-x1)

where (x1,y1) in this case is (-2,3)

So we have;

y-3 = m(x-(-2))

y-3 = 5/8 (x + 2)

8(y-3) = 5(x + 2)

8y -24 = 5x + 10

5x + 10 + 24 -8y = 0

5x -8y + 34 = 0

So A, B, C = 5, -8, 34

Other Questions
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