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Ber [7]
1 year ago
12

In the figure, PQ is parallel to RS. The length of RP is 5cm; the length of PT is 30cm; the length of QT is 60cm. What is the le

ngth of SQ?○A.10cm○B.6cm○C.2cm○D.20cm

Mathematics
1 answer:
rjkz [21]1 year ago
3 0

The triangles PTQ and RTS are similar; so the ratios of corresponding sides are equal.

Let us denote the unknown length SQ as x.

We could make the following similarity relation;

\begin{gathered} \frac{30}{30+5}=\frac{60}{60+x} \\  \end{gathered}

Cross multiply to obtain;

\begin{gathered} 30(60+x)=60(35) \\ 1800+30x=2100 \\ \text{collect like terms} \\ 30x=2100-1800 \\ 30x=300 \\ \text{divide both sides by 30} \\ \frac{30x}{30}=\frac{300}{30} \end{gathered}

Therefore;

x=10\operatorname{cm}

Therefore, the answer is option A

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Setler [38]

Answer:

$9.57

Step-by-step explanation:

You have to do 4.35 divided by 5 to get how much 1 can cost. You will find out that 1 can cost $0.87. Next you will take how much one cost and mutiply it by 11.  When you do that you will get 9.57. That is how you will get $9.57 as your answer.  

5 0
3 years ago
What is 7x^2-8x-9=-3x rounded to the nearest hundredth
jonny [76]

Answer: 1.55, and -0.83

Step-by-step explanation:

5 0
3 years ago
Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters. How long, in
Oksanka [162]

Answer:

<u>0.765 meters</u> long were the sticks when laid end to end.

Step-by-step explanation:

Given:

Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters.

Now, to find the length in meters of the sticks when laid end to end.

The lengths of the sticks are:

1st stick - 45 millimeters.

2nd stick - 32 centimeters.

3rd stick - 4 decimeters.

So, we convert the units of sticks into meters by using conversion factor:

1st stick:

1 millimeter = 0.001 meter.

45 millimeters = 0.001 × 45

45 millimeters = 0.045 meter.

2nd stick:

1 centimeter = 0.01 meter.

32 centimeters = 0.01 × 32

32 centimeters = 0.32 meter.

3rd stick:

1 decimeter = 0.1 meter.

4 decimeters = 0.1 × 4

4 decimeters = 0.4 meter.

Now, adding all the three sticks length to get the the length in meters of the sticks when laid end to end:

0.045+0.32+0.4\\\\=0.765\ meters.

Therefore, 0.765 meters long were the sticks when laid end to end.

5 0
3 years ago
What is the distance around a triangle that has sides measuring 2 1/8, 3 1/2, and 2 1/2 feet?
Mashcka [7]
Perimeter = 2 1/8 + 3 1/2 + 2 1/2 = 7 (1 + 4 + 4)/8 = 7 9/8 = 8 1/8
3 0
3 years ago
Tim,Griff and Kay baked chocolate for Kay s birthday party.Tim baked 3 times as many as Kay.Griff baked half as many as Tim.Alto
lianna [129]
Answer: 48

------------------------------------------------------------------------------
Define the number of cakes they baked in term of x
------------------------------------------------------------------------------
Let the number of cakes Kay baked be x

Kay = x
Tim = 3x                ← Tim baked 3 times as many as Kay
Griff = 1.5x            ← Griff baked 1/2 as many as Tim

------------------------------------------------------------------------------
Construct the equation and solve for x
------------------------------------------------------------------------------
The total number of cakes baked was 88.

x + 3x + 1.5x = 88        ← Combine like terms
5.5 x = 88                     ← Divide by 5.5
÷5.5    ÷5.5
x = 16

------------------------------------------------------------------------------
Find the number of cakes each baked
------------------------------------------------------------------------------
Kay = x = 16
TIm = 3x = 16 x 3 = 48
Griff = 1.5x = 1.5(16) = 24

------------------------------------------------------------------------------
Answer: Tim baked 48 cakes.
------------------------------------------------------------------------------
3 0
3 years ago
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