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3 years ago

Use the Side-Splitter Theorem to find x, given that PQ||BC . The figure is not drawn to scale.

Mathematics

1 answer:

MrRa [10]3 years ago

8 0

Answer: x=12

Step-by-step explanation:

1. Accoding to the Side-Splitter Theorem, if a line interesect two sides of the triangle and it is parallel to the third side, then the other two sides are divided by the line proportionally.

2. Then, you can form the following proportion:

$\frac{PA}{BP}=\frac{QA}{CQ}$

3. Substitute values and solve for x:

$\frac{8}{x}=\frac{12}{18}\\18*8=12x\\x=12$

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2 years ago

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Alex777 [14]

Answer:

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2 years ago

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Elizabeth has a lot of jewelry. She has four times as many earrings as watches but half the number of necklaces as earrings. Eli

evablogger [386]

Given:
Total number of pieces: 117
watch = x
earrings = four times as many earring as watches = 4x
necklaces = half the number of necklaces as earrings = 1/2 * 4x = 2x
bracelets = necklaces = 2x

x + 4x + 2x + 2x = 117
9x = 117
x = 117/9
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watches: x = 13
earrings: 4x = 4(13) = 52
necklaces: 2x = 2(13) = 26
bracelets: 2x = 2(13) = 26

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2 years ago

I need help To find gradient and y-intercept...

suter [353]

Answer:

a) the gradient of the linear graph is: $\mathbf{\frac{-1}{3} }$

b) the y-intercept of linear graph is -1

Step-by-step explanation:

a) Find the gradient of the linear graph.

The formula used to find gradient is same as slope

$Gradient=\frac{Change \ in \ y \ coordinate}{Change \ in \ x \ coordinate}\\or\\Gradient=\frac{y_2-y_1}{x_2-x_1}$

Take any 2 points from the graph.

I will take: (-3,0) and (0,-1)

Putting values in formula and finding gradient

$Gradient=\frac{y_2-y_1}{x_2-x_1} \\Gradient=\frac{-1-0}{0-(-3)} \\Gradient=\frac{-1}{3}$

So, the gradient of the linear graph is: $\mathbf{\frac{-1}{3} }$

b) Find the y-intercept of linear graph

The y-intercept of linear graph is the value of y at the point where the line crosses the y axis.

So, in the given graph, that point is -1

So, the y-intercept of linear graph is -1

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2 years ago