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IgorC [24]
3 years ago
15

Receive 99 points if answered correctly with steps!

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
6 0

Answer:

36 cm²

Step-by-step explanation:

1. ΔBEF & ΔADF are similar; 2. the height of ΔABE is 3height of ΔBEF; 3. area of ΔABE is 3 area of ΔBEF; 4. area of ΔABE= area of ΔACE; 5. area of ΔABC = 2 area of ΔACE; 6. Area of ABCD = 2 area of ΔABC = 12 area of BEF.

Alchen [17]3 years ago
3 0

36 cm²

Step-by-step explanation:

1. ΔBEF & ΔADF are similar; 2. the height of ΔABE is 3height of ΔBEF; 3. area of ΔABE is 3 area of ΔBEF; 4. area of ΔABE= area of ΔACE; 5. area of ΔABC = 2 area of ΔACE; 6. Area of ABCD = 2 area of ΔABC = 12 area of BEF.

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Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and cos ∠X = 2 and 5 tenths over 5 and 59 hundredths.
Maru [420]

Based on the above, the Triangle XYZ and ACB are known to be similar triangles since tanX = tanA = 5 over 2 and 5 tenths;

Hence:

  • AC = 2 x  XY
  • CB = 2  x YZ

<h3>What is the triangle about?</h3>

From the question given; Triangle XYZ is known to have been dilated by a scale factor of 2 to form a type of triangle known as triangle  ACB, So therefore, XYZ and ACB are known to be the same or similar triangles.

Since Angles Y and C are known to both measure 90 degrees, and angles A and X are said to be congruent. Therefore:

tanX = tanA = 5 over 2 and 5 tenths

AC = 2  x  XY

CB = 2  x  YZ

For part B:

cosX=Base/Hypotenuse

cos A=AC/AB

AC =  2.05

AB = 5.59

Therefore, Based on the above, the Triangle XYZ and ACB are known to be similar triangles since tanX = tanA = 5 over 2 and 5 tenths;

Hence:

  • AC = 2 x  XY
  • CB = 2  x YZ

Learn more about triangles from

brainly.com/question/27517432

#SPJ1

5 0
2 years ago
What is the area of the shape?
marshall27 [118]

Step-by-step explanation:

hello,

the shape is a right trapezium.

you use the following formula:

area of a trapezium = ½ × sum of parallel sides× height.

or simply,

a = ½ ( a + b ) h

where a and b are the parallel sides

and h is the height.

thus,

a = ½ × ( 4 + 6 )× 4

a = ½ ( 10 ) × 4

a = 5 × 4

a = 20

have a great day! au revoir !

6 0
2 years ago
Read 2 more answers
Which fraction has a value that's equal to 7/8
S_A_V [24]
There's a bunch of them like if you simplify you could get 3/4.I'll give you some more.

Examples:14/16 21/24 28/32 and 35/40.

My brain was getting tired to think...but there's more.

Hope this helps :D
7 0
4 years ago
Need answer ASAP thanks!
barxatty [35]

Answer:

assuming its an annual interest

Okay so 6 percent interest, the bank is paying you.
So with this it’s 6 percent of 1500 and add it to 1500.

You can always find 6 percent of 1500 and then add but here’s a short cut.
Your principle (beginning) balance is 1500.
That’s already 100 percent since thats yoru original value.
You then get added 6 percent interest.
We are jsut adding 6 percent to 100 percent so 106 percent.
Now we solve normally and you’d get the answer faster.

106 percent is 106/100 or 1 3/5 or 1.06

now we multiply
1500 * 1.06 = 1590

Your final balance would be 1590 after the 6 percent interest is added.

5 0
2 years ago
Simplify: 2log2(8x)
dem82 [27]
Answer is 0.124. I have to right more characters
3 0
3 years ago
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