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777dan777 [17]
3 years ago
7

The 1st graders at City Elementary were asked whether

Mathematics
1 answer:
prisoha [69]3 years ago
5 0

Answer: A girl in this group is most likely to prefer dogs

Step-by-step explanation:

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Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,
nlexa [21]

$ PS = \frac{4}{3} x

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$PT = x, \ PQ = 3x,  \ SR=\frac{8}{3}x

TQ=PQ-PT

TQ=3x -x=2x

<u>Triangle proportionality theorem,</u>

<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>

$\frac{PS}{SR} =\frac{PT}{TQ}

$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}

Do cross multiplication, we get

$ PS \times 2x=x \times \frac{8}{3} x

Divide by 2x on both sides, we get

$ PS = \frac{4}{3} x

4 0
3 years ago
How many solutions does the following equation have? <br><br>-6(x+7) = -4x -2​
Fed [463]
Solve for x first
-6x - 42 = -4x -2
-6x = -4x + 40
- 2x = 40
X = -20
The equation has one solution
3 0
2 years ago
Tell whether each question can be written in the form y = mx + b
Inessa [10]
Tell whether each question can be written in the form y = mx + b
y = 8 - x^2 NO
y = 4 + x YES
y = 3 - 2x YES
6 0
3 years ago
Which is greater 3 miles or 5,000 yards? How much greater?
Brilliant_brown [7]
5,000 yards is greater
3 0
3 years ago
Read 2 more answers
If LN=3+8x, find LN<br><br> L•——–8•——M——6x-1——–•N
ElenaW [278]

Answer:

Value of LN = 19 units

Step-by-step explanation:

Given:

LN = 3 + 8x

Find:

Value of LN

Computation:

We know that LM + MN = LN

So,

8 + 6x - 1 = LN

So,

3 + 8x = 8 + 6x - 1

3 + 8x = 7 + 6x

8x - 6x = 7 - 3

2x = 4

x = 2

So,

LN = 3 + 8x

LN = 3 + 8(2)

LN = 3 + 16

LN = 19

Value of LN = 19 units

8 0
3 years ago
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