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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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Step-by-step explanation:

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3 years ago
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Jackson bought 555 ounces of raisins for \$4$4dollar sign, 4.
Fynjy0 [20]

Answer:

Part a) The raisins cost $0.8 per ounce

Part b) 1.25 ounces

Step-by-step explanation:

<u><em>The correct question is</em></u>

Jackson bought 5 ounces of raisins for $4 dollars.

a) How much do raisins cost per ounce?

b) How many ounces of raisins can be bought for $1?

Part a)  How much do raisins cost per ounce?

we know that

To find out the unit rate divide the total cost by the total weight

so

\frac{4}{5} =\$0.8\ per\ ounce

therefore

The raisins cost $0.8 per ounce

Part b) How many ounces of raisins can be bought for $1?

we know that

The raisins cost $0.8 per ounce

using proportion

Find out how many ounces of raisins can be bought for $1

Let

x -----> the ounces of raisins

\frac{1}{0.8}=\frac{x}{1}\\\\x= 1.25\ ounces

8 0
3 years ago
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If g(x)=3x-1 and if g(a)=7 what is the value of a?
Ierofanga [76]

Answer:

a = 8/3

Step-by-step explanation:

3a - 1 would equal 7

3a = 7 + 1

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6 0
3 years ago
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Step-by-step explanation:

7 0
2 years ago
You have a kite whose diagnoals are 8 m and 22 m. Find the area of the kite. Show all of your work.
Wittaler [7]
-----------------------------
Formula
-----------------------------
\text {Area of a kite = }  \dfrac{pq}{2}  \text { where p and q are the diagonals }

-----------------------------
Find Area
-----------------------------

\text {Area = }  \dfrac{8 \times 22}{2}

\text {Area = }  \dfrac{176}{2}

\text {Area = } 88 \  m^{2}

-----------------------------
Answer: Area = 88m²
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6 0
4 years ago
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