Which of the following are true statements about 30 6090 triangle

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.

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.

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Answer: 7, 14, 21, 28

Step-by-step explanation:

Let first multiple = x

So, second multiple = x + 7

Third = x + 14

Fourth = x + 21

According to the question,

=>x + (x + 7)+ (x + 14) + (x + 21) = 70

=>4x + 42 = 70

=>4x = 28

=>x = 7

So, the multiples are 7(x), 14(x+7), 21(x+14), 28(x+21)

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

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°

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.

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

Answer:

lines NP and OP are intersecting

Step-by-step explanation:

they touch at point P

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

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.

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,

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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Answer:

slope is 2   y intercept 7

Step-by-step explanation:

The y intercept is the value when x =0

(0,7) means the y intercept is 7

We can find the slope using

m = (y2-y1)/(x2-x1)

m = ( 11-9)/(2-1)

   = 2/1

  = 2  

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]

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

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.

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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Answer:

240, 360, 800

Step-by-step explanation:

We can call the numbers 3x, 7x, and 10x and then we can write:

3x + 7x + 10x = 1600

20x = 1600

x = 80 so the numbers are 3 * 80 = 240, 7 * 80 = 560 and 10 * 80 = 800.

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.

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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Answer:

12

5

13

Step-by-step explanation:

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

Answer:

8 batches

Step-by-step explanation:

Take the total amount of cream and divide by the amount of cream per batch

6 ÷ 3/4

Copy dot flip

6 * 4/3

6/3 *4

2*4

8 batches

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

Answer:

126°

Step-by-step explanation:

Given that the yellow portion covers 35% of the circle, the degree formed by its edges can be calculated as follows:

The degree of a full circle = 360°

To find the degree formed by the edges of the yellow region, we would calculate 35% of 360°:

[tex] \frac{35}{100}*360 [/tex]

[tex] \frac{35*360}{100} [/tex]

[tex] \frac{12600}{100} [/tex]

[tex] \frac{126}{1} [/tex]

[tex] 126 [/tex]

126° is formed by the edges of the yellow region.

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

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.

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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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

Answer:

Giselle has spent more than 1/2 of her parking money.

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Percent yield = experimental yield / theoretical yield * 100

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

= 75

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

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)

What we do is simply replace every n with k+1. So (3n)^2 turns into (3(k+1))^2

We see that only choice A has the correct term mentioned on the left hand side, so this must be the answer.

The right hand side is treated the same way. We plug in n = k+1. Your teacher did a bit of algebraic manipulation to get what is shown for choice A.