5 in
5 in
4.3 in
14 in
5 in




Can you help me find out the surface area

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:

10 inches

Step-by-step explanation:

did with a teacher

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'

9514 1404 393

Answer:

  x = -15

Step-by-step explanation:

It appears the drawing is showing two representations for the distance LK. Of course, they both have the same value.

  10 = LK = x+25

Subtracting 25 from the equation, we have ...

  -15 = x

(This value of x makes KJ = (2(-15)+27) = -3, a nonsense value.)

_____

Alternate (more sensible) interpretation

If the bottom line is intended to represent LJ, then we have ...

  10 +(2x+27) = (x +25) . . . . LK +KJ = LJ

  x +37 = 25 . . . . subtract x

  x = -12 . . . . . . .  subtract 37

With this value of x, the length of KJ is 2(-12)+27 = 3, and the overall length LJ is (-12)+25 = 13. This is consistent: LK=10, KJ = 3, LJ = 13.

Answer:

C. 500x + 0.6 = 600x + 0.5

Step-by-step explanation:

The Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\left(1+\dfrac{R}{n\times100}\right)^{nt}[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly.

Put this values in the above formula as,

[tex]A=8470\left(1+\dfrac{7.5}{12\times100}\right)^{12\times 4}\\A=11422.6348[/tex]

For the four years, the monthly payment is,

[tex]m=\dfrac{11422.6348}{4}\\m=237.97[/tex]

The monthly payment of unsubsidized loan is $237.97.

The monthly payment of subsidized loan is $202.80.

The difference between the unsubsidized and subsidized loan monthly payment is,

[tex]d=237.97-202.80\\d=35.17\\d\approx35.05[/tex]

Thus, the Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

Learn more about the compound interest here;

brainly.com/question/24274034

Answer:

( b1 + b2)h+ph

Step-by-step explanation:

get it

Answer:11.08in

Step-by-step explanation:

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

Answer: 16

Step-by-step explanation:

Answer:

i didnt get u what do u want that i should explain u

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:

x = 15; y = 17

Step-by-step explanation:

A line equals 180 degrees

7x + 7 and 4y form the full line

As such:

7x + 7 + 4y = 180

Another line formation is between 4y and 112

A line equals 180 degrees

4y + 112 = 180

180 = 180 so:

7x + 7 + 4y = 4y + 112

Isolate the variable x

Subtract 4y from both sides

7x + 7 + 4y - 4y = 4y - 4y + 112

7x + 7 = 112

Subtract both sides by 7

7x + 7 - 7 = 112 - 7

7x = 105

Divide both sides by 7

7x ÷ 7 ÷ = 105 ÷ 7

1x = 15

x = 15

If x = 15, plug this new information into the expression with both x and y variables

7(15) + 7 + 4y = 180

Pemdas says multiply first

105 + 7 + 4y = 180

Combine like terms

112 + 4y = 180

Subtract both sides by 112

112 - 112 + 4y = 180 - 112

4y = 68

Divide both sides by 4

4y ÷ 4 = 68 ÷ 4

1y = 17

y = 17

Check work:

7(15) + 7 + 4(17) = 180

Pemdas says multiply first

105 + 7 + 68 = 180

Combine like terms

112 + 68 = 180

180 = 180

This means the variable values are correct

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:

Let's put it like this.

a = 1

b = 2

c = 3

Now, multiply b and a.

a x c = 3

Convert this expression to its factored version, ac.

Next, multiply b and c.

b x c = 6

Turn b and c into factored form, bc.

↓ conclusion ↓

Since 6 is greater than 3, this statement is not true. The only way it will always be true is if you reversed the number sequence to be greatest to least, instead of least to greatest.

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

Step-by-step explanation:

Answer:

21/10

Step-by-step explanation:

you"ll have to take my word for it

The answer to this is 81.

Answer:

C. sin(A) = cos(C) and cos(A) = sin(C)

Step-by-step explanation:

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:

PEMDAS

2+2 is 4

8/2 is 4

4+4 is 8

Answer:

Step-by-step explanation:

Length = Area ÷ width

           = 23.8 ÷ 4.25

           = 5.6 ft

Answer:

-.095 is the correct answer

Step-by-step explanation:

look it up if you want-_-

Answer:

-0.75

Step-by-step explanation:

Step-by-step explanation:

Considering the area of the 2 right angled triangles

Area of two triangles

=2 [1/2 x base x height]

=base x height

=8 x 6

=48 ft2

Area of two big rectangles

=2 [length x width]

=2 [10 x 7]

=2 x 70

=140 ft2

Area of small rectangle (base of figure)

= length x width

=7 x 6

=42 ft2

Total surface area

=sum of all areas

= 42 + 140 + 48

=230 ft2

Answer:

9

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Answer:

9 :) (ape.x)

Step-by-step explanation:

Answer:

i dont understand explain

Step-by-step explanation:

Answer:

x = q- st/2

Step-by-step explanation:

Answer:

6.25

Step-by-step explanation: