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3 years ago

Pls solve #4. very important

Mathematics

1 answer:

Reil [10]3 years ago

8 0

Answer:

ΔABC~ΔDEC

<u>Ratios of corresponding sides are equal:</u>

DE/AB = DC/AC
DE/40 = 15/(15 +9)
DE = 40*15/24
DE = 25

ΔABD~ΔBCD

<u>Ratios:</u>

AD/BD = BD/DC
AD*DC = BD²
16*(20 - 16) = BD²
64 = BD²
8 = BD

<u>If ΔABC ~ ΔXYZ, the ratios below should be equal:</u>

AC/XZ = BC/YZ
10/15 = 18/24
2/3 = 3/4

Ratios are different so the triangles are <u>not</u> similar

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Answer:

120

Step-by-step explanation:

<2 = 120 degrees

<3 = <2 vertical angles

Assuming b is parallel to c

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3 years ago

Nifal earned 9$ for washing two cars .He recived $1 more for the second car.How much was he paid for washing each car?Which two

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Answer:

Nifal received $ 4 for washing the first car.

Nifal received $ 5 for washing the second car.

4 and 5 have a sum of 9.

Step-by-step explanation:

The problem can be rewritten as follows: Find the sum of two consecutive entire numbers equal to 9. That is:

$x + y = 9$

$y = x+1$

Then, by eliminating y:

$x + (x+1) = 9$

$2\cdot x + 1 = 9$

Now, let is clear $x$ :

$2\cdot x = 8$

$x = 4$

Nifal received $ 4 for washing the first car.

The earning for the second car is: ( $x = 4$ )

$y = x +1$

$y = 4 + 1$

$y = 5$

Nifal received $ 5 for washing the second car.

4 and 5 have a sum of 9.

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3 years ago

Two semicircles are attached to the sides of a rectangle as shown.

melomori [17]

Answer:

$157\ in^{2}$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of rectangle plus the area of two semicircles

<u>The area of rectangle is equal to</u>

$A=14*5=70\ in^{2}$

<u>The area of the small semicircle is equal to</u>

$A=\pi r^{2} /2$

$r=5/2=2.5\ in$ -----> radius is half the diameter

substitute

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$A=\pi r^{2} /2$

$r=14/2=7\ in$ -----> radius is half the diameter

substitute

$A=(3.14)(7^{2})/2=76.93\ in^{2}$

The area of the figure is equal to

$70+9.8125+76.93=156.7425=157\ in^{2}$

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