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sweet [91]
3 years ago
12

Find the value of x will mark brainliest

Mathematics
1 answer:
Virty [35]3 years ago
8 0

Answer:

x = 5

Step-by-step explanation:

Since ∠P ≅ ∠P and  ∠PST≅ ∠PRQ (corresponding angles are congruent when the lines are parallel), ΔPST is similar to ΔPRQ by the AA postulate

Therefore, corresponding sides are in proportion.  

PS ↔ PR and ST ↔ RQ

\frac{PS}{PR} =  \frac{ST}{RQ} \\\frac{x + 7}{2x + 6}  =  \frac{6}{8}   Note:  PR = PS + SR = x + 7 + x - 1 = 2x + 6

8(x + 7) = 6(2x + 6)

8x+56 = 12x + 36

4x = 20

x = 5

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Whitepunk [10]
<h3>Answer:</h3>
  • 6 large prints
  • 12 small prints
<h3>Step-by-step explanation:</h3>

<em>Numerical Reasoning</em>

Consider a set of prints that consists of 2 small prints and one large print (that is, twice as many small prints as large). The value of that set will be ...

... 2×$20 +45 = $85

To have revenue of at least $510, the studio must sell ...

... $510/$85 = 6

sets of prints. That is, the studio needs to sell at least 6 large prints and 12 small ones.

_____

<em>With an equation</em>

Let x represent the number of large prints the studio needs to sell. Then 2x will represent the number of small prints. Total sales will be ...

... 20·2x +45·x ≥ 510

... 85x ≥ 510

... x ≥ 510/85

... x ≥ 6

The studio needs to sell at least 6 large prints and 12 small prints.

8 0
2 years ago
In ▵ABC, if m∠A=80 degree, then m∠c cannot be
Aloiza [94]

Answer:

95

Step-by-step explanation:

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7 0
3 years ago
What is the volume of the box pictured below?
SpyIntel [72]

Answer:

The volume of the box is 3/4 cubic meters.

Step-by-step explanation:

We know that volume = length * width * height. We have length, width, and height already, so all we have to do is multiply.

5/6 * 1 1/8 * 4/5. First we convert 1 1/8 from a mixed fraction, to give us 9/8, as 8/8 = 1.

5/6 * 9/8 * 4/5. 5 * 9 = 45, and 6 * 8 = 48. 45/48 reduces to 15/16.

15/16 * 4/5. 15 * 4 = 60, and 16 * 5 = 80. 60/80 reduces to 6/8, which reduces to 3/4.

8 0
3 years ago
Read 2 more answers
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ASHA 777 [7]

Answer:

x= 3

Step-by-step explanation:

Hope I get brainliest!

6 0
2 years ago
What is the mean of the data set? {21, 23, 25, 25, 26, 28, 28, 28, 31, 33} 26.8 27 27.8 28
Lerok [7]
In mathematics, mean average means to take the sum of all the numbers and divide the sum by the number of elements in the set.

Add up the numbers.

<span>21 + 23 + 25 + 25 + 26 + 28 + 28 + 28 + 31 + 33 = 268

Divide by the number of elements in the set. Which is 10.

268 / 10 = 26.8

So, the answer to this question is 26.8</span>
8 0
3 years ago
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