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Murrr4er [49]
3 years ago
11

How do you work this out?

Mathematics
1 answer:
Katarina [22]3 years ago
5 0
Because ABCD is a rectangle, the length of CD is 12 cm.

We need to determine the length of DE.  If we can do that, then the sum of the lengths of CD and DE represents the unknown:  the length of CE.

To find the length of CE, we have to "solve" the upper triangle.

Here's an outline of what to do:

1.  Show that BC=AD and find the length.
2.  Note that angle CAD is 60 degrees.  Why?
3.  Note that angle EAD is 30 degrees.  Why?
4.  Find the length of ED
5.  Add ED and DC, that is, ED + 12 cm.  This is your answer.

Please ask questions if need be.
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Plz help the ones with question marks
3241004551 [841]

Answer:

1(5/16)=1.3125

7(5/16)=7.3125

26(5/16)=26.3125

Step-by-step explanation:

Given that 5/16=0.3125, the mixed fraction 1(5/16)=1+(5/16)=1+0.3125=1.3125

Also, 7(5/16)=7+(5/16)=7+0.3125=7.3125

Furthermore,

26(5/16)=26+(5/16)=26+0.3125=26.3125

In the same vein, given that 4/15=0.266

1(4/15)=1+(4/15)=1+0.266=1.266

17(4/15)=17+(4/15)=17+0.266=17.266

23(4/15)=23+(4/15)=23+0.266=23.266

7 0
3 years ago
Select all the expressions that are equivalent to 15n – 10.
Lilit [14]

Answer:

Step-by-step explanation:

the expression is equivalent with

5(3n-2)=15n-10

5 0
3 years ago
Please help i don't know what to do​
Alik [6]

Answer:

The answer is A .

Step-by-step explanation:

Hope it helps u , good luck ^.^

4 0
3 years ago
The sum of two numbers is 21. The larger number is 6 less than twice the smaller number. Find the two numbers.
never [62]
The sum of two numbers
 x + y = 21
x = smaller number
y = larger number

Larger Number = y = (2x -6)
Substitute  (2x - 6) for y
x + y = 21
x + (2x - 6) = 21
3x - 6 = 21
3x = 21 + 6
3x = 27
3x / 3 = 27 / 3
x =  9
Smaller number = x = 9
Find the larger number by inserting 9 into (2x - 6)
(2x - 6)
(2(9) - 6)
18 - 6
12

So 
x = 9
y =12

Check our answer by inserting x = 9 and y = 12 into  x + y = 21
x + y =21
9 + 12 = 21
21 = 21 
So since we have 21 = 21 we know our answer is correct. 
5 0
3 years ago
Part A
Westkost [7]

Definition: Vertical angles are the angles that are vertically opposite to each other when two lines intersect.

Vertical Angles Theorem: Vertical angles are congruent to each other.

Triangle Angle-Sum Theorem: The sum of the measures of the interior angles of a triangle is 180°.

The diagram shows triangle with to given angles. By the Triangle Angle-Sum Theorem you can find the measure of third angle. Angles x and y are vertical, then they are congruent.

Answer Part A: option A

By the Triangle Angle-Sum Theorem, x°+30°+70°=180°,

x°=80°

and

x°=y°=80°.

Answer part B: option B

7 0
3 years ago
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