Someone please help me!

The two triangles are both right triangles and are both formed by the

intersection of the lines AS and BD and are therefore similar.

Response:

(a) Yes, ΔABC is similar to ΔSDC according AA similarity postulate

(b) The distance from the ship to the shore is approximately 282.6 feet

(a) Yes, Gilligan can conclude that ΔABC and ΔSDC are similar by

Angle-Angle, AA, similarity postulate.

Reason:

Angle ∠SCD in ΔSDC and ∠ACB in ΔABC are vertically opposite angles,

and they are therefore congruent by vertical angles theorem.

∠SDC = 90° and ∠ABC = 90° therefore ∠SDC ≅ ∠ABC because all 90°

are congruent.

Therefore, two angles in ΔABC are congruent to two angles in ΔSDC,

therefore, ΔABC is similar to ΔSDC according to AA similarity postulate

(b) The ratio of corresponding sides in similar triangles are equal,

therefore;

[tex]\dfrac{BC}{DC} = \mathbf{\dfrac{AB}{SD}}[/tex]

Which gives;

[tex]\dfrac{23}{130} = \dfrac{50}{SD}[/tex]

[tex]SD = \dfrac{130}{23} \times 50 \approx 282.6[/tex]

Learn more about triangle similarity postulates here:

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Answer:

Slope = 3

y-intercept = 2

Step-by-step explanation:

Slope = 3

y-intercept = 2

Answer:

You can solve it yourself

Step-by-step explanation:

By using demos graphing calculator

Answer:

lala i dont really know aaa

Answer:

-4/13

Step-by-step explanation:

just using your calculator and you can get the answer.

Answer:

A.) The School Room: $1026

All Class: $955

B.) All Class is cheap by $31

Step-by-step explanation:

The School Room

All Class

Jack wants to buy 8 chairs and 4 desks

If he buy from The School Room then,

8(38) + 4(174) + 26

304 + 696 + 26 = $1026

If Jack buy furniture from The School Room then it costs $1026

If he buy from All Class then,

8(36) + 4(168) + 35

288 + 672 + 35 = $955

If Jack buy furniture from All Class then it costs $955

If we compare both shop then,

$1026 – $955 = $31

All Class will be cheap for Jack by $31

-TheUnknownScientist 72

Answer:

x > 15

Step-by-step explanation:

At least means that x will be greater than 15 so it is x > 15.

you can find some if you scroll down on the page we're on.

They should kinda look like questions in little boxes.

They'll be under the header "New Questions in Mathematics"

don't feel bad, it took me a while too, they kinda blend in & no one would scroll down that far. I hoped this help you or someone else

have a great day :D

Answer:

3.2

Step-by-step explanation:

3 1/5 = 3 + 1/5

Calculate 1/5:   1/5 * 20/20 = 20/100 = 0.2

3 + 0.2 = 3.2

Hope this helps :)

Have a great day!

Answer:

The answer is a.

Step-by-step explanation:

M < 7

Hope that helps!

Answer:

P=13

Step-by-step explanation:

Solution:

P=2(l+w)=2·(2.5+4)=13

Answer:

The angel of this elevation is 30.5°

Step-by-step explanation:

...

Answer:

10,000

Step-by-step explanation:

Check the picture below.

Answer:

Write inequality and for problem

equal to 10.

Rigid transformations do not change the size of a shape

The true statement is that figures A and B are congruent

From the question, we understand that the transformation is a rigid transformation

This means that the corresponding sides of figures A and B are congruent

Hence, the true statement is that figures A and B are congruent

Read more about transformations at:

https://brainly.com/question/4289712

Answer:

Cosine rule formula

[tex]a^{2} = b^{2} + c^{2} - 2bc \times \cos( a) [/tex]

*the small a in cos represents the angle

Conditions

You can only do Cosine rule if the angle is in between the 2 lengths

a^2=22^2+27^2-2(22)(27)×cos(105)

a^2=1520.477026 * so sqaure root to find a

a=38.99329462 *to 2 d.p.

a=38.99ft

8 is not an element of set A since all the elements must be greater than 8. 8 ∉ A is correct.

Given the following set of values

U = {x|x is a real number}

A = {x|x ∈ U and x + 2 > 10}

B = {x|x ∈ U and 2x > 10}

The equivalent elements of the sets are:

U = {real numbers}

A = {x > 8}
B = {x > 5}

From the set above, we can see that 8 is not an element of set A since all the elements must be greater than 8.

Learn more on sets here: https://brainly.com/question/13458417

It's C. 8 ∉ A; 8 ∈ B

Answer: 9

Step-by-step explanation:

Add 20, 12, and 32 together then divide by 7 because it says "One week" and a week is 7 days. So, it should be like 20 +12 + 32= 64

64 / (divided by) 7 = 9

The number of daily work hours, if in One week, Steph worked 20 hours, Marco worked 12 hours, and Destiny worked 32 hours, is 9.1 hours.

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

One week, Steph worked 20 hours, Marco worked 12 hours, and Destiny worked 32 hours,

Calculate the total time of work as shown below,

The total time = 20 + 12 + 32

The total time = 64 hours in a week

Calculate the daily work time as shown below,

Daily work time = 64 / 7

(1 week = 7 days)

Daily work time = 9.1 hours

To know more about division:

https://brainly.com/question/27566440

#SPJ2

The complete question is: One week, Steph worked 20 hours, Marco worked 12 hours, and Destiny worked 32 hours. Find the total work time in a day?

Answer:

well, pick any old x, like for example x = 0

find y

0 - y = 9

y = -9

so

(0 , - 9)

now pick another x, like x = 1

3 - y = 9

y = 3-9 = -6

so

( 1 , - 6 ) and on and on until bored

Step-by-step explanation:

Answer:

the answer is 4

Step-by-step explanation:

if you multiply 2 x 1 = 2 then multiply 2 x 2 = 4 add two two times

Applying the leg rule, the value of b in the triangles is: C. 3√13.

The leg rule states that where the altitude of a right triangle bisects its hypotenuse, then, hypotenuse/leg = leg/part, of the right triangle.

Given:

Hypotenuse = 4 + 9 = 13

Leg = b

part = 9

Thus:

13/b = b/9

Cross multiply

b² = 9 × 13

b = √(9 × 13)

b = 3√13

Thus, applying the leg rule, the value of b in the triangles is: C. 3√13.

Learn more about the leg rule on:

https://brainly.com/question/10612854

Answer:

60/63, 60 : 63

Step-by-step explanation:

63 - 3 = 60

60 is left over. The total amount is 63

Therefore 60/63

Answer:

Area= 615

Step-by-step explanation:

width x height= Area.
30x20.5

Answer:

Find the slope for each of the points in the table. If all the slopes equal each other, the table represents a linear function. If not, then it's the opposite.

Step-by-step explanation:

(You didn't post the full picture, but I'll try to make sense of your problem and answer anyways.)

A linear function, or a line, has a constant slope. This means that no matter where you are on the line, it was always be "rising" some y and "running" some x. It will never be fluctuating in slope or anything like that because it's a line, not a curve, not a zigzag, etc. Just a line.

How do we observe this in tables? Well, remember that the slope m can be found with the following formula:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

where (x1, y1) and (x2, y2) are two points on a line.

So, we can show that all these points have equal slopes to see if they form a line. For example, let's look at the table shown in the picture. We have five points, so let's find the slope for two of them at a time.

First, let's find the slope between (1, 5) and (2, 20).

[tex]m=\frac{20-5}{2-1} \\m=\frac{15}{1} \\m=15[/tex]

The slope between these two points is 15.

Now, let's find the slope between (2, 20) and (3, 45).

[tex]m=\frac{45-20}{3-2} \\m=\frac{25}{1} \\m=25[/tex]

And the slope is ... 25? This can't be right!

Well, it is. This means that these three points can't all form a line, and therefore, all of these points can't form a line. So, the table shown in the picture does not represent a linear function. Do this for the other tables in the question, and you got yourself your answer.