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belka [17]
3 years ago
5

Solve for Y ABC = DEF

Mathematics
1 answer:
suter [353]3 years ago
4 0

Answer:

12

Step-by-step explanation:

△ABC ≅ △DEF means that these two triangles are congruent to each other. Congruent triangles also have corresponding sides and angles that are equal to each other!

This means that angle A corresponds to angle D; and thus, we can set up in equation for these two to solve for y.

First, let's try to decipher what exactly we are solving. Y is what we are multiplying by five to get 60°, or angle A (congruent angle).

Now, we just solve it!

60=5y

y=12

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Rewrite 30 + 36 using gcf and the distributive property
postnew [5]

Answer:

15+17

Step-by-step explanation:

6 0
3 years ago
Find the perimeter of the quadrilateral that has vertices at (8,13), (5,-18), (-6,-6), and (-2,-5).
kodGreya [7K]

Answer:

72.14 units

Step-by-step explanation:

Let A(8,13), B(5,-18),C(-6,-6) and D(-2,-5)

Apply the distance formula as;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Finding the lengths of the segments

For AB

AB=\sqrt{(5-8)^2+(-18-13)^2} =\sqrt{(-3^2)+(-31^2)} =\sqrt{970} =31.14

For BC

BC=\sqrt{(-6-5)^2+(-6--18)^2} =\sqrt{(-11^2)+12^2} =\sqrt{265} =16.28

For CD

CD=\sqrt{(-2--6)^2+(-5--6)^2} =\sqrt{4^2+1^2} =\sqrt{16+1} =\sqrt{17} =4.12

For DA

DA=\sqrt{(8--2)^2+(13--5)^2} =\sqrt{10^2+18^2} =\sqrt{424} =20.6

Finding the perimeter will be;

31.14+16.28+4.12+20.6=72.14 units

3 0
3 years ago
The first step in simplifying a rational expression is to.
tekilochka [14]

Answer: To determine the domain the set of all possible inputs of a function which allow the function to work.

Step-by-step explanation:

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2 years ago
A watercolor painting is 19 inches long by 10 inches wide. Ramon makes a border around the watercolor painting by making a mat t
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Step-by-step explanation:

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Read 2 more answers
A man receives Rs. 60 for the first week and Rs. 3 more each week than the preceeding week. How much does he earns by the 20th w
Fynjy0 [20]

Answer:

The man's income by the 20th week will be Rs. 1770

Step-by-step explanation:

Given that the income of man in first week is Rs. 60

It is also mentioned that the income increases every week then the previous one.

which means the weekly incomes will be like:

60,63,66,69.....

As the common difference of terms is same i.e. 3, it forms an arithmetic sequence.

Where

a_1 = 60\\d = 3

The general formula for arithmetic sequence is:

a_n = a_1+(n-1)d

Putting the values of d and a_1 we get

a_n = 60+(n-1)(3)\\a_n = 60+3n-3\\a_n = 57+3n

This is the general formula to find the income of any week. Now for 20th week,

n = 20

a_{20} = 57+(20)(3)\\a_{20} = 57+60\\a_{20} = 117

The income for 20th week is 117.

As we have to find the total income for 20 weeks

We will use the summation formula for arithmetic sequence.

S_n = \frac{n}{2}(a_1+a_{20}})

Putting the values

S_n = \frac{20}{2}(60+117}\\S_n = 10(177}\\S_n = 1770\ Rs.

Hence,

The man's income by the 20th week will be Rs. 1770

6 0
3 years ago
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