The measures of the angles of Triangular garden are in the ratio 2:5:5. What are the measures of the angles? Classify the triangle based on its sides

Answers

Answer 1

Answer:

We know that the sum of all the interior angles of a triangle is always equal to 180°.

And we know that the angles are in a ratio of:

2:5:5

So if we have an angle (unknown) θ, the angles of this triangle will be written as:

2*θ

5*θ

5*θ

Now remember that the sum of the 3 angles is equal to 180°, this leads to:

2*θ + 5*θ + 5*θ = 180°

Now we can solve this for θ

(2 + 5 + 5)*θ = 180°

12*θ = 180°

θ = 180°/12 = 15°

This means that the angles of this triangle are:

2*θ = 2*15° = 30°

5*θ = 5*15° = 75°

5*θ = 5*15° = 75°

Now we want to classify this triangle based on this, we have two equal angles, which implies that we must have two equal sides and another different side.

Then this is an isosceles triangle.


Related Questions

write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y=1/3x-7

Step-by-step explanation:

Which of the following are possible solutions for the inequality ??

Answers

-1/2 and -2 would be the answer

This would be because when you plug these number instead of x the answer is equal to or less than 13

Daniel has dinner at a restaurant and the cost of his meal is $28.00. Because of the service, he wants to leave a 20% tip. What is his total bill including tip?

Answers

Answer: answer is $33.60

Step-by-step explanation:

Sharon made $45 in interest by placing $500 in a savings account with simple interest for 1 year. What was the interest rate?

Answers

Answer: The interest rate was 9%.

Step-by-step explanation:

If principal amount P is invested at the rate of r percent with simple interest(I) for t years, the formula to find rate :

[tex]R=\dfrac{I\times100}{P\times t}[/tex]

As per given,

P = $ 500, I = $45, t = 1 year

Substitute values in formula , we get

[tex]R=\dfrac{45\times100}{500\times1}\\\\\Rightarrow R=9\%[/tex]

Hence,  The interest rate was 9%.

8x -5 = 4x+7



Need answers ASAP and how to do it pls

Answers

8x -5 = 4x+7

8x - 4x = 7 + 5

4x = 12

x = 3

Apply the Distributive Property to Simplify the Expression
9 (4 1/3)

Answers

9 (4 1/3)
Answer= 39

PLZ HELP WILL GIVE BRAINLY!!!!

Answers

It’s 2/1 because you go up 2 (rise) and go over one (run)
I think the best answer is 2/1 because u need to rise and then go over one and this is easy so bye111


Directions: Review the table shown here,
Input
1
Output
120
4
450
1
140
4
450
Which statement best explains why the data in the table above does not represent a
function?
A. Each input has only one output.
B. Each output has only one input.
C. One input has more
one output
D. One output has more than one output.

Answers

Answer:

rStep-by-step explanation:

d

3/8 - 1/4x =1/2 x - 3/4
please help solve for x and show work

Answers

Answer:

x=3/2 (or 1.5)

Step-by-step explanation:

Subtract 3/8 from both sides

Simplify

Subtract 1/2x from both sides

Simplify

Multiply both sides by 4

Simplify

Divide both sides by -3

5, 3, 2, 6, 5, 2,5
mean:
median:
mode:
range:

Answers

Answer:

mean: 4

median: 5

mode: 5

range: 4

if triangle def is similar to triangle jkl find kl

Answers

Answer:

KL=45

Step-by-step explanation:

find x: 9(2x+1)=81(3x+2)​

Answers

Answer:

Exact form: x =  -17\25

Decimal form: x = -0.68

find the size of angle X.

Answers

Circle adds up to 360

81+164=245

360-245= 115

Answer is :115

The size of angle x is 115.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

From the figure,

The whole complete angle is 360.

This means,

164 + 81 + x = 360

Solve for x.

164 + 81 + x = 360

245 + x = 360

x = 360 - 245

x = 115

Therefore,

The size of angle x is 115.

Learn more about expressions here:

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A girls typing an essay on her computer she typed 2/5 of a paper of an essay in 1/15 hour all this rate how long in hours would it take her to type a full page

Answers

I am not sure but I think it’s 2

I need the answer thank you

Answers

A membership(y) =40+2x so plug in 33 for x first
Y=40+2(33)
Y=40+66
Y=106 dollars

Next plug in 90 for y
90=40+2x
50=2x
25=x

Answer:

A. 106

B. 25

Step-by-step explanation:

A. 33 times 2 = 66

66 Plus the 40 for the membership

66 + 40 = 106

B. 90 - 40 = 50  (40 from the membership)

50 divided by 2 = 25

The diameter D of a sphere is 18.6 cm. Calculate the sphere's surface area A
Use the value 3.14 fors, and round your answer to the nearest tenth.

Answers

Answer:

1086.3 cm²

Step-by-step explanation:

surface are of sphere = πD²

SA = (3.14)(18.6 cm)^2

SA = 1086.3 cm²

pls give answer with formulas and steps 4/9 ÷ -5/7

Answers

9514 1404 393

Answer:

  -28/45

Step-by-step explanation:

Step 1, the sign

When the fractions have an odd number of minus signs (1, not 0 or 2), the result will be negative. This knowledge lets you ignore the sign while you do the rest of the arithmetic. The appropriate sign is applied to the final numbers.

Step 2, the formula

The ratio (a/b)÷(c/d) is (ad)/(bc). There are several ways you can get there:

⇒ "invert and multiply" or "swap dot"

  [tex]\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\,\cdot\,\dfrac{d}{c}=\dfrac{ad}{bc} \quad\text{division is multiplication by the reciprocal}[/tex]

⇒ "numerators of a common denominator"

  [tex]\dfrac{\left(\dfrac{a}{b}\right)}{\left(\dfrac{c}{d}\right)}=\dfrac{\left(\dfrac{ad}{bd}\right)}{\left(\dfrac{bc}{bd}\right)}=\dfrac{ad}{bc}[/tex]

⇒ "swapped denominators of a common numerator"

  [tex]\dfrac{\left(\dfrac{a}{b}\right)}{\left(\dfrac{c}{d}\right)}=\dfrac{\left(\dfrac{ac}{bc}\right)}{\left(\dfrac{ac}{ad}\right)}=\dfrac{ad}{bc}[/tex]

The use of common numerators or common denominators is most often seen when the numerator or denominator of one fraction is a multiple of that in the other fraction. Example: (2/3)÷(1/6) = (4/6)÷(1/6) = 4/1 = 4

Step 3, reduce the result

Any of these fractions is reduced by cancelling common factors from numerator and denominator. Your fractions here don't have any common factors, so there is nothing to cancel.

_____

Your product is ...

  (4/9) ÷ (-5/7) = -(4·7)/(9·5) = -28/45

Three bananas and two pears cost 95p.
Five bananas and three pears cost £1.51
Find the cost of ten bananas and ten pears.​

Answers

Answer:

Cost of ten bananas and ten pears is  £ 3.90

Step-by-step explanation:

As three bananas and two pears cost  95 p  and  five bananas and three pears cost  £  1.51  or  151  p ,

subtracting former from latter, we get

two bananas and one pear cost  151 p  −  95 p  =  56 p

and doubling four bananas and two pear cost  56 p × 2 = 112 p

Hence, one banana costs  112 p  −  95 p  =  17 p .

and two bananas cost  17 p  ×  2  =  34 p

and hence one pear costs  56 p  −  34 p  =  22 p

Hence cost of ten bananas and ten pears is  

10  ×  17 p  +  10  ×  22 p  =  170 p  +  220 p  =  390 p  =  £ 3.90

Hope it helps

Please mark me as the brainliest

Thank you

The length of a rectangular tabletop is 18 inches more than the width. The perimeter is 244. What is the width of the tabletop?

Answers

Answer:

52 in.

Step-by-step explanation:

Let the width = x.

The length is x + 18.

perimeter = 2(L + W)

244 = 2(x + x + 18)

122 = 2x + 18

2x = 104

x = 52

The width is 52 in.

Answer:

length is 70 width 52

Step-by-step explanation:

Isabella is travelling in Brazil during the summer, She knows that a 15-minute phone call home to her family costs $45.85 and a 20-minute phone call costs $58.30 sabella only has $55.81 to spend on her phone call. How long can she talk to her family?​

Answers

19 minutes ..
Divides 45.85 by 15 you will get 3 same for the other cost- the divide 3 by 55.81 and you get 19

what is the gradient of the following shape​

Answers

You mind explaining it? Like the question

We have a side that is opposite our angle,
and we have the hypotenuse. Which ratio
will we use?

Answers

Answer:

Sine

Step-by-step explanation:

Using the acronym SOHCAHTOA, we can see that Sine (S) should be used.

SOH represents Sine, Opposite, Hypotenuse.

Since we are only given the opposite side and hypotenuse, the sine ratio should be used, which is opposite / hypotenuse

So, sine will be used.

Suzy is shopping at a book sale.The table show prices for paperback books.

Answers

Answer:

6,9

Step-by-step explanation:

Got it right on edg

The ordered pair which is also on the graph is (6, 9).

What is the number pattern?

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

Suzy is shopping at a book sale.

We can see from the table that when books( x) is 2 then the value of y is 3.

Similarly, x = 4 then y = 6

then we can say that the value of y is the addition of half of the value of x in itself.

So, according to the number pattern;

if we take x = 6

Then 6 + 3 = 9

y = 9

Thus, The ordered pair which is also on the graph is (6, 9).

Learn more about a number pattern:

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6. Alyssa is making a recipe that requires 2 cup of oil and 4 cups of milk. Which of the following combinations shows the same ratio of oil to milk?

Answers

Answer:

D. 6 cups of oil to 12 cups of milk.

Find all angles, 0°< A<360°, that satisfy the equation below, to the nearest tenth
of a degree (if necessary).
3 tan A+75 = 0

Answers

Answer:

143.3 degrees and 323.3 degrees

Step-by-step explanation:

Given the equation

3tanA +√5 = 0

3tanA = -√5

tanA =-√5/3

tanA = (-0.7454)

A = arctan(-0.7453)

A = -36.699

Since tan is negative in 2nd and 4th quadrant

A = 180 - 36.699

A = 143.3 degrees

In the fourth quadrant

A = 360 - 36.699

A = 323.3degrees

Hence the value of A that satisfies the equation are 143.3 degrees and 323.3 degrees

What is the m∠ACD, if m∠ABC = 37?

Answers

Step-by-step explanation:

angle ABC= angle ACB= 37° --------- because AB=AC

angle ACB+ angle ACD=180°

37+angle ACD=180

angle ACD=143°

Answer:

143 is the answer

Step-by-step explanation:

Kathryn and karina are neighbours and they are each planning rosebushes and butterfly plants in their yard. They bought their plants from the same store. Catherine spent $111 on four rosebushes and seven butterfly plants. Karina spent $132 on five rosebushes and eat butterfly plants. What is the cost of one rosebush and the cost of one butterfly plant?

A rosebush : $10, butterfly plant $7

B Rose bush: $9 ,butterfly plant $12

C rosebush; 12 , butterfly plant $9

D rose bush : $14, butterfly plant $7

Answers

Answer:

d a rosebush 14 butterfly plant 7

Step-by-step explanation:

don't believe me ask some body else okkkkkur

4. What expression represents the width of the room?

Answers

Answer:

35-4

Step-by-step explanation:

Answer:

Let x = represents the width

m.

Step-by-step explanation:

hope that helps -w-

40 people can ride the roller coaster every 15 minutes. How many people can ride the roller coaster every 3 hours?

Answers

Answer:

480

Step-by-step explanation:

Answer:

486 people can ride the roller coaster in 3 hours

Step-by-step explanation:

40÷15 = 2.7

2.7 × (60×3)

2.7×180= 486

A car drvies at a speed of 60 mph for 30 minutes. Calculate how far it travles

Answers

Answer:

30 miles

Step-by-step explanation:

Distance = speed x time

30 minutes can be considered as ½ an hour.

60 x ½=30miles

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