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SIZIF [17.4K]
3 years ago
13

Given CS=2x+1, SB=6x, CR=7.5, and RA=18. What must the value of x be in order to prove SR || BA? Justify your answer

Mathematics
1 answer:
Anna [14]3 years ago
5 0
The picture in the attached figure

we know that
In similar triangles. The ratio of the lengths of the sides CS and CB must be equal to the ratio of the lengths of sides CR and CA.   CS / CB = CR / CA
which can also be written as, 
CS / (CS + SB) = CR / (CR + RA)
CS*(CR+RA)=CR*(CS+RA)
CS=2x+1
SB=6x
CR=7.5
RA=18
(2x+1)*[7.5+18]=7.5*[2x+1+18]
(2x+1)*[25.5]=7.5*[2x+19]
(51x+25.5)=15x+142.5
51x-15x=142.5-25.5
36x=117
x=117/36
x=3.25

the answer is 
x=3.25

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Solve the following compound inequality. Graph the solutions.<br> x&lt;3 and x &gt; -3
ad-work [718]

Answer:

they are same

Step-by-step explanation:

3 0
4 years ago
The hypotenuse of a right triangle is 10cm long. One of the triangle's legs is three times the length of the other leg. Find the
vivado [14]

Answer:

The lengths of the three sides are 10 cm, 9.49 cm and 3.16 cm

Step-by-step explanation:

Let

c ------> the length of the hypotenuse of a right triangle

x -----> the length of one leg

y -----> the length of the other leg

we know that

c^{2}=x^{2}+y^{2} -----> equation A (Pythagoras Theorem)

c=10\ cm ----> equation B

x=3y -----> equation C

Substitute equation B and equation C in equation A and solve for y

10^{2}=(3y)^{2}+y^{2}

100=10y^{2}

y^{2}=10

y=\sqrt{10}\ cm

y=3.16\ cm

Find the value of x

x=3(\sqrt{10})=9.49\ cm

therefore

The lengths of the three sides are 10 cm, 9.49 cm and 3.16 cm

5 0
3 years ago
Read 2 more answers
The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes.
Mkey [24]

Answer:

Part A:  90; Part B:  24.

Step-by-step explanation:

The number of blueberry muffins is 40% of the total number of muffins.

Part A:  There are 36 blueberry muffins.  This is 40% of the unknown number of muffins, x; this gives us

36 = 0.4x

Divide both sides by 0.4:

36/0.4 = 0.4x/0.4

90 = x

There were 90 total muffins.

Part B:  40% of the total number of muffins, 60, gives us the unknown number of blueberry muffins:

0.4(60) = x

24 = x

There were 24 blueberry muffins.

3 0
3 years ago
What is the least common multiple of 6/30
Elan Coil [88]

Answer:

LCM of 6 and 30 is 30

4 0
3 years ago
What is 15% added to $185.30
Ilia_Sergeevich [38]

Answer:

$213.095

Step-by-step explanation:

15% of 185.30 = 185.30/100*15 = 27.795

So to find what is 15% added to 185.50, we use 185.30 + 27.795 = $213.095

Hope this help :3

5 0
4 years ago
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