Find the angle of x please!

Answer:

Step-by-step explanation:

Similarity statements are written with corresponding vertices in the same order. So, there are two tasks involved: (1) identifying corresponding vertices; (2) making sure they are written in the same order in the similarity statement.

Here, we could go to the trouble to identify all pairs of corresponding vertices. Then we could write our own similarity statements and see which answer choice corresponds. However, it is sufficient to do just enough work to allow elimination of bad answer choices.

Sometimes in figures like this, it is difficult to tell the short side of the right triangle from the long side. (This figure is pretty helpful.) However, it is always possible to identify the hypotenuse of each triangle. They are ...

  RT, RS, ST

What this means is that these letters should appear in the same spots in each part of the similarity statement.

  (a) RT are in the 1st and 3rd spots of the first triangle name. In the second triangle name, those spots are occupied by SU--not a hypotenuse. (rejected)

  (b) The 1st and 3rd spots of each statement are occupied by RT, RS, ST, so this is a viable candidate.

  (c) The 1st and 3rd spots of the first triangle name are occupied by ST, but those spots of the second triangle name are SU--not a hypotenuse. (rejected)

  (d) The 1st and 2nd spots of the first triangle name are occupied by RT, and those spots in the second triangle name are RS. However, those spots in the third triangle name are TU--not a hypotenuse (rejected).

The only viable choice for similarity statement is the second choice:

  ΔRST ~ ΔRUS ~ ΔSUT

__

We can find segment 'a' by writing a proportion between sides of the largest and medium-size triangles:

  hypotenuse/long side = (21 +a)/29 = 29/21

  21(21 +a) = 29² . . . . . multiply by 29·21

  441 +21a = 841 . . . . simplify

  21a = 400 . . . . . . . subtract 441

  a = 400/21 . . . . . . . . . . . divide by 21. (eliminates choices C and D)

At this point, we can solve for b in similar fashion. However, it is sufficient to use "triangle sense" to eliminate the remaining bad choice. We know the hypotenuse of any right triangle is the longest side. Here, that means ...

  b > 20 . . . . . (eliminates choice B)

The only viable answer choice is A:

  a = 400/21, b = 580/21

__

Additional comments

For multiple-choice questions, you can arrive at a solution just as effectively by eliminating bad choices as you can by working the problem in detail to develop the correct choice. Here, we try to use "common sense" to simplify the work as much as possible. This saves time, which is what you want when you're working a timed assignment.

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This geometry has several interesting features. If you start at the right angle and write side lengths in order clockwise, the two "inside triangles" have the order {longest side, hypotenuse, shortest side}. The overall outside triangle has the order {shortest side, hypotenuse, longest side}. That is, the order of the outside triangle vertices is counterclockwise for the same order of corresponding sides. Realizing/remembering this can immensely simplify the process of writing similarity statements for these triangles.

Another feature is one we demonstrated in the solution for 'a' in the second problem: the length of a segment touching the longest hypotenuse is the geometric mean of the lengths of the hypotenuse segments it touches. In the case in point: 29 = √((21)(21 +a)). We could also write the relationship: 20 = √((21)(a)), perhaps getting there more directly:  a=400/21. And finally, b = √((a(a+21)). These geometric mean relationships all derive from the proportions you can write using triangle similarity.

(The geometric mean of two numbers is the square root of their product. For n numbers, it is the n-th root of their product.)

Answer: 2x+5y=100 and x+y=38

Step-by-step explanation:

slope= -2 y-intercept =7

Step-by-step explanation:

y=-2x+7

m=-2 c=7

Answer:

length is 40 and breadth is 20

Step-by-step explanation:

120 =2( l + b )

120 = 2( 2x +x )

120= 2 x 3x

120 =6x

120/6 = x

20 = x

length=2x = 2 x 20 = 40

breadth= x = 20.

hope it helps u

Answer:

Mean/Average: 20

Median/Middle: 18

mode: there is no mode.

I am 100% sure it is correct.

Step-by-step explanation:

Brainliest please! It would really make my day.

Answer:

Step-by-step explanation: 2x+6

Another factor will be x and ( x + 1 )² and the solution will be -1, 0, and 1/2.

In mathematics, every real-world issue may be transformed into an equation, sometimes in the form of a factor, which must then be expanded to get a solution.

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

Given,

p(x)=2x⁴ + 3x³ −x one factor is (2x−1)

To find another factor we divide p(x)=2x⁴ + 3x³ −x by (2x−1)

Then we got remainder as 0 and quotient ( x³ + 2x + 1 )

So,

(2x−1) ( x³ + 2x² + x ) = 0

(2x−1) (x) ( x² + 2x + 1) = 0

(2x−1) (x) (x + 1)² = 0

Now the solution to this

(2x−1) = 0 ⇒ x = 1/2

(2x−1) (x) ( x² + 2x + 1) = 0 ⇒ x = 0

And

(x + 1)² = 0 ⇒ x = -1

Hence, another factor will be x and ( x + 1 )² and the solution will be -1, 0, and 1/2.

For more information about the expansion

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Answer:

C. 500x + 0.6 = 600x + 0.5

Step-by-step explanation:

Answer:

No they are not equivalent.

Step-by-step explanation:

7x + 5 stays the same. You cannot combine them since they aren't like terms.

12x isnt 7x + 5. Therefore no they are not equivalent.

Answer:

260

Step-by-step explanation:

7 shelves containing 37 cans of pineapples each would give you 259 cans of pineapple. Then, round to the nearest ten would give you 260.

Answer:

?

Step-by-step explanation:

Answer:

is D

Step-by-step explanation:

correct on edge

Answer:

1800 in^3

Step-by-step explanation:

Multiply speed by time:

41 x 5.2 = 213.2 miles

The answer is the first choice.

Answer:

D = 41 (R) x 5.2 (T) = 213.2 miles

Step-by-step explanation:

Answer:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

[tex]x=\frac{y-1+\sqrt{134^2-2y+1} }{19y}[/tex]

[tex]x=\frac{y-1-\sqrt{134^2-2y+1} }{19y}[/tex]

Thanks!

Mark me brainliest!

Step-by-step explanation:

∠2 and ∠7 are alternate exterior angles so they are equal.

So you can create the equation

40x-48 = 20x+52   Subtract 20x from both sides. Add 48 to both sides.

20x = 100

x = 5

if you need  m∠2 Substtute 5 for x in 20x+52  

20(5) + 52 = 100 +52   m∠2= 152°

m∠7  40(5) - 48 =  200-48  m∠7= 152°

The value of the variable x is given as 8000.

Some of the rules of exponents are as follows,

The product of two exponents having the same power is equal to the power of their base multiplied.

The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.

The given exponential expressions are as below,

n⁴ = 20x

And, n³ = x

Then as per the rule of exponent, the following it can be written as,

n³ = x

⇒ n × n³ = n × x

⇒ n⁴ = nx

⇒ 20x = nx

⇒ n = 20

Then, x = 20³ = 8000

Hence, the value of x is found to be 8000.

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Step-by-step explanation:

this is only what i got from this question. it may be the only thing we need to do.. or not. but this step is correct for sure

You should be able to note that this is a parabola which opens downward. Taking the derivative and setting it to -0- will yield the max of the equation, That is

[tex]y=-\frac{1}{3} x^{2} +2x-4[/tex] ⇒ [tex]\frac{dy}{dx} =-\frac{2}{3} x+2=0[/tex] ⇒ [tex]x=3[/tex]

Step-by-step explanation:

what was the difficulty here ?

supplementary angles fill up to 180°.

complementary angles fill up to 90.

50° complement is 90-50 = 40°.

supplement is 180-50 = 130°.

bisected angle is 50/2 = 25°.

90-34=56° complement is 34°.

supplement is 180-56 = 124°.

bisected angle is 56/2 = 28°.

35×2=70° complement is 90-70 = 20°.

supplement is 180-70 = 110°.

bisected angle is 35°.

180-135=45° complement is 90-45 = 45°.

supplement is 135°.

bisected angle is 45/2 = 22.5° = 22°30'

The least value plotted on the line plot is 18.0, the greatest value plotted on the line plot is 22.0, and the height of inches that occurs the most often is 19.5 with 3 times.

In a set of data values, the mode is the value that appears the most frequently.

A.) The least value plotted on the plot is the minimum height of the plant Harold, therefore, the least value plotted on the line plot is 18.0.

B.) The greatest value plotted on the line plot is 22.0 is the maximum height of plant Harold, therefore, the greatest value plotted on the line plot is 22.0.

C.) The height of inches that occurs the most often is the mode of all the data points of the height of the plant that is given to us, therefore, the height of inches that occurs the most often is 19.5 with 3 times.

Hence, the least value plotted on the line plot is 18.0, the greatest value plotted on the line plot is 22.0, and the height of inches that occurs the most often is 19.5 with 3 times.

Learn more about Mode:

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Answer:

The line plot has 14 dots plotted on it.

The least value plotted on the line plot is 18.0

The greatest value plotted on the line plot is 22.0

The height of 19.5 inches occurs the most often

Step-by-step explanation:

hope this helps :)

Answer:

$45

Step-by-step explanation:

Given the following :

Amount deposited in first year = $150

Interest rate (r) = 2% = 0.02

First year:

Simple Interest = principal * rate * time

= $150 * 0.02 = $3

2nd year:

Principal = $150 * 2 = $300

($300 * 0.02) = $6

3rd year:

Principal = $150 * 3 = $450

($450 * 0.02) = $9

4th year:

Principal = $150 * 4 = $600

(600 * 0.02) = $12

5th year:

Principal = $150 * 5 = $750

($750 * 0.02) = $15

Total interest earned :

$(3 + 6 + 9 + 12 + 15)

= $45

Answer:

6 1/4

Step-by-step explanation:

5^2/2^2

25/4

6 1/4

Have an amazing day!!

Please rate and mark brainliest!!

Answer: 6:45AM

Step-by-step explanation:

Just add AM or PM

Answer: I am adding two positive integers so my answer will be positive

If its 35 + 35 they both are positive hence I am adding two positive integers so my answer will be positive.

Hope I helped

Answer:

I am adding two positive integers so my answer will be positive.

Step-by-step explanation:

Note that;

Positive + Positive = Positive

Positive + Negative = Negative

Negative + Negative = Positive

~Lenvy

Answer:

therefore he will pay $12,264

Answer:

$1,379.37

Step-by-step explanation:

to solve we do [tex]12000(1.022)^5[/tex] then subtract 12000.

Please rate and mark as brainlest. hope this helps!

Answer:

Small flat rate box

Step-by-step explanation:

Since she sells necklaces we can assume that the question is missing spaces and the actual dimensions are 1 3/4inch by 2 1/4 inch by 3/4 inch. This being the case she can use the Small flat rate box from the local post office for her necklaces. This is the smallest flat rate packaging available aside from envelopes, but since the artist needs a 3dimensional box the envelopes would not work. This small flat rate box has the following dimensions  8 11⁄16″ x 5 7⁄16″ x 1 3⁄4″ it also can hold up to 70lbs which far exceeds the weight of the necklaces.

Answer:

just subtract 38 from 72 and but the answer as x   x:38

Step-by-step explanation:

Answer:

If the temp is higher so is the amount of people on the beach

Step-by-step explanation:

Answer:

5 : 3

Step-by-step explanation:

100 paise = 1 rupee

Therefore, the ratio =>

2 rupees : 120 paise

2 : 1.2

10 : 6

5 : 3

Answer:

28.018

and that's the answer.

Step-by-step explanation:

0.018 + 31 - 3

31.018 - 3

which gives 28.018 as the final result

Answer:

a; 175 centimeters

Step-by-step explanation:

One meter is 100 centimeters

this means that 3.25 meters is essentially just 325 centimeters

if she wants to make 100 name tags she must do 100 times 5 to get how many centimeters of ribbons she needs

100 * 5 = 500

she only has 325 centimeters so you subtract 325 from 500

500 - 325 = 175