All categories

2 years ago

The two triangleshaped gardens are congruent. Find all of the missing side lengths and angle measures. Show any necessary work

1 answer:

8 0

The two figures are in the file attached.

Congruency means that all the respcetive sides and angles are equals.

Then, the three angles are :

y = 38°

x = 90°

w = 180° - 90° - 38° = 52

The three sides are:

z= 10yd
v= 7.9yd
u=6.2yd

You have all the measures as a function of yd, but you do not have any information about yd, then it is not possible to find the real lenghts.

All you can tell is that the sides obey Pythagoream theorem:

u^2 + v^2 = z^2

But that is not enough to find one side, because you do not know any of them.

For example if you apply Pytagorean theorem you cand do"

(7.9yd)^2 + (6.2)^2 = (10yd)^2

but that cannot be solved for yd, because they are factors of all the terms in both sides, which mean that they cancel to obtain:

(7.9)^2 + (6.2)^2 = (10)^2, which is not any new information.

Also you can think about sine theorem, but it does not help, because you also need one side.

Then you only can tell the missing angles, as I have shown, but not the misssing lengths.

Download docx

You might be interested in

What does unit rate mean

satela [25.4K]

Answer:

Unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles, per hour, cost per item, earnings and per week

Step-by-step explanation:

6 0

3 years ago

Carlos has 24 balls of different colors: yellow, red, green, and blue. 17 balls are not red,10 balls are neither yellow nor blue

olga55 [171]

Answer:

10 green

Step-by-step explanation:

24 total balls. 17 Not red, so 24-17=7. 7 Red balls. That leaves 17 balls. 10 of them are neither yellow nor blue, and since the amount of red balls has been figured out, we do not need to account for them. 17 balls - 10 not yellow or blue equals 7 balls that can be yellow or blue. 17 balls left, minus the 7 yellow or blue balls equals 10.

6 0

2 years ago

Purchased a book rs 500 sold 20%profit find its actual profit and sel<br>ling price

umka2103 [35]

Answer:

Selling price=rs.600.

Profit of rs=100.

Step-by-step explanation:

C.P=500; profit%=20%

S.P.=100+profit%×C.P/100

S.P=120×500/100

=rs.600

S.P>C.P

Profit S.P-C.P

600-500=100

he gained for rs.100.

7 0

2 years ago

A business uses straight-line depreciation to determine the value y of an automobile over a 5-year period. Suppose the original

Elena-2011 [213]

For this problem. it is found that:

a) The automobile has depreciated 75% in 5 years.

b) The value of the automobile was reduced by $10,500 in five years.

c) The linear function is: s(t) = 14,500 - 2,100t.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = ax + b

In which:

a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the problem, we have that:

a) The automobile has depreciated 75% in 5 years, as 4000/14500 = 0.25, and 100% - 25% = 75%.

b) The value of the automobile was reduced by $10,500 in five years, as 14500 - 4000 = $10,500.

For the linear function, we have that:

The initial value is b = 14500.

The slope is of a = -10500/5 = -2100.

Hence the linear function is: s(t) = 14,500 - 2,100t.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

6 0

1 year ago

Iago is interested in money. He has a collection of bills in his pocket. He finds that he has two fewer $20 bills than he does $

Colt1911 [192]

Let x be the number of $10 bills in Iago pocket.

1. If he has twice as many $1 bills as $10 bills, then he has (2x) $1 bills.

2. He has two fewer $20 bills than he does $10 bills, then he has (x-2) $20 bills.

3. He has three more $5 bills than $10 bills, then he has (x+3) $5 bills.

In total he has $160 that is x·10+2x·1+(x-2)·20+(x+3)·5.

Equate these two expressions and solve the equation:

$x\cdot 10+2x\cdot 1+(x-2)\cdot 20+(x+3)\cdot 5=160,\\ \\10x+2x+20x-40+5x+15=160,\\ \\37x=160+25,\\ \\37x=185,\\ \\x=5.$

Thus, he has

5 bills for $10;
10 bills for $1;
3 bills for $20;
8 bills for $5.

3 0

2 years ago

The two triangle­shaped gardens are congruent. Find all of the missing side lengths and angle measures. Show any necessary work

The two triangleshaped gardens are congruent. Find all of the missing side lengths and angle measures. Show any necessary work