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nikitadnepr [17]
3 years ago
7

PPPPPPPPPPPPPPLLLLLLLLLLLLLLEEEEEEEEEEEEESSSSSSSSSSSSSSSAAAAAAAAAAAAASSSSSSSSSSSSSSSSSSSSEEEEEEEEEEE help me!

Mathematics
1 answer:
stiv31 [10]3 years ago
8 0

Answer:

a

Step-by-step explanation:

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Geometry question, need help!
Anna35 [415]

Answer:

x = 7.5

Step-by-step explanation:

We first labelled the diagram we get

DC = 8

AD = 10

CE = 6

BE = x

∴ AC =AD + DC = 18

∴ BC = BE + ED = x + 6

To Find :

BE = x =?

Solution:

Let DE || AC

In  Δ ABC and Δ DEC

∠A ≅ ∠D    …………..{corresponding angles ∵ DE || AB }

∠B ≅ ∠E      ..............{corresponding angles ∵ DE || AB }

∠C ≅ ∠C    ……….....{Reflexive Property}    

Δ ABC ~ Δ DEC ….{Angle-Angle-Angle  Similarity test}

If two triangles are similar then their sites are in proportion.

\frac{AB}{DE} =\frac{BC}{EC} =\frac{AC}{CD}\ \textrm{corresponding sides of similar triangles are in proportion}\\

On substituting the given values we get

∴ \frac{8}{18} = \frac{6}{6+x} \\\\8(6+x) = 6\times 18\\\\\textrm{using distributive property we get}\\48+8x=108\\8x=108-48\\x=\frac{60}{8}\\ \\x=7.5\\\\\therefore x =7.5

4 0
4 years ago
Suppose that an individual has a body fat percentage of
KonstantinChe [14]
Namely, how much is 18.3% from 188? well if we take 188 to be 100%, then

\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
188&100\\
x&18.3
\end{array}\implies \cfrac{188}{x}=\cfrac{100}{18.3}\implies \cfrac{188\cdot 18.3}{100}=x
8 0
3 years ago
A market sells 7 oranges for $2.45. How much will 8 oranges cost?
nordsb [41]

Answer:

$2.80

Step-by-step explanation:

Divide 2.45 by 7 to get the cost of 1 orange which is $0.35.  Multiply that cost by 8 to get the cost of 8 oranges and your final answer which is $2.80.

3 0
3 years ago
There are 90 girls and 60 boys in the sixth grade at middle school. Of these students, 9 girls and 3 boys write left handed. Wha
Georgia [21]

Answer:

0.08 or 8%

Step-by-step explanation:

to find probability, number of left handed/total

this would be (9+3)/(90+60), which simplifies to 12/150 = 0.08.

7 0
3 years ago
Precalculus PLEASE HELP ME right answers only check all please
Alex_Xolod [135]

Given :

cos(x)cos(\frac{\pi }{7}) + sin(x)sin(\frac{\pi }{7})=-\frac{\sqrt{2}}{2}

We know the identity

cos(x)cos(y) + sin(x)sin(y)=cos(x-y)

We use this property to simplify the left hand side

So  cos(x)cos(\frac{\pi }{7}) + sin(x)sin(\frac{\pi }{7})=cos(x - \frac{\pi }{7})

cos(x - \frac{\pi }{7}) =-\frac{\sqrt{2}}{2})

we know ,

when cos(x) =-\frac{\sqrt{2}}{2}) then

x = \frac{3\pi }{4} , \frac{5\pi }{4}

For  cos(x - \frac{\pi }{7}) =-\frac{\sqrt{2}}{2})

x - \frac{\pi }{7}= \frac{3\pi }{4} and x - \frac{\pi }{7}= \frac{5\pi }{4}

Add \frac{\pi }{7} on both sides

x= \frac{3\pi }{4} + \frac{\pi }{7} and x= \frac{5\pi }{4} +\frac{\pi }{7}

Finally we add 2npi for general solution

So options C  and D  are correct


6 0
3 years ago
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