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Alex787 [66]
2 years ago
5

Find x and y for this triangle

Mathematics
1 answer:
Feliz [49]2 years ago
7 0

Answer:

x = 1.25

x = 1.75

Step-by-step explanation:

I marked the points of this triangle in the attached image so it's easier to explain.

ΔABC is similar to ΔADE, and all pairs of corresponding sides are proportional as a result.

\frac{DE}{BC}=\frac{AD}{AB}=\frac{AE}{AC}

The length of the sides BC and DE is given, so I'll start with that and set it equal to the proportion between AB and AD.

\frac{DE}{BC}=\frac{AD}{AB}\\\\\frac{10}{8}=\frac{x+5}{5}\\\\10\times5=(x+5)\times8\\50=8x+40\\10=8x\\x=1.25

Now, you can do the exact same thing for y:

\frac{DE}{BC}=\frac{AE}{AC}\\\\\frac{10}{8}=\frac{y+7}{7}\\\\10\times7=(y+7)\times8\\70=8y+56\\14=8y\\y=1.75

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I need help please reply quickly higher gcse question
nexus9112 [7]

Answer:

105 cm²

Step-by-step explanation:

The figure is composed of a rectangle and a triangle

area of rectangle = 15 × 6 = 90 cm²

area of triangle = \frac{1}{2} bh ( b is the base and h the height )

Here b = 15 - 9 = 6 and h = 11 - 6 = 5 , thus

area of triangle = \frac{1}{2} × 6 × 5 = 3 × 5 = 15 cm²

Total area = 90 + 15 = 105 cm²

5 0
3 years ago
Read 2 more answers
The watch at Macys is $400. The store is having a sale and everything is 30% off. What is the final price of the watch?
Ivahew [28]

Answer:

The price of the watch is 280$

Step-by-step explanation:

We know that the original price is 400 dollers, and its on sale for 30%.

So we do 30% of 400 = 120$

finally we do, 400$ - 120$ = 280$

so the final price of the watch is 280$

hope this helps

5 0
2 years ago
Your garden has a perimeter of 36 feet. what is the length of missing side.​
taurus [48]

Answer:

I think the answer is 3 for 1 length side. And in you need 12 for both length sides. So the total is 36 and one side is 12. Since it's a rectangle,you now know two side lengths since they are the same,just opposite from each other. So 12 + 12 = 24. You do 36 – 24 because you need to get the total number for length which is 12. 12 divided by 2 is 6 which is one length side. You can check by doing 6 + 6 + 12 + 12 and you get 36.

Hope this helped!

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8 0
3 years ago
Robert is building a deck in his backyard. Each piece of wood measures 42.5 inches. If he has 86 boards,how long are they altoge
BlackZzzverrR [31]
You multiply 86 by 42.5 because each board is 42.5 and there are 86 boards.
4 0
3 years ago
16/9(1.2b)=4.8(20/3)<br> solve
mart [117]

\frac{16}{9}(1.2b)=4.8( \frac{20}{3})

Multiply 4.8 into (20/3), and multiply 16/9 with (1.2b)

\frac{19.2b}{9} = \frac{96}{3}

\frac{19.2b}{9} = 32  Multiply 9 on both sides

19.2b = 32(9)

19.2b = 288          Divide 19.2 on both sides

b = 15

4 0
3 years ago
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