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1 year ago

Figure A is a scale image of Figure B. What is the value of x?

Mathematics

1 answer:

Snezhnost [94]1 year ago

6 0

Answer:

x = 5.4

Step-by-step explanation:

since the figures are scaled factors of each other then they are similar.

the ratios of corresponding sides are therefore in proportion, that is

$\frac{x}{7.2}$ = $\frac{3}{4}$ ( cross- multiply )

4x = 21.6 ( divide both sides by 4 )

x = 5.4

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2 years ago

Use the figure to the right to find the value of PT. T is the midpoint of PQ.

Monica [59]

Answer:

$PQ = 42$

Step-by-step explanation:

Given

$PT = 3x + 3$

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Midpoint, T

Required

Determine PT

First, the value of x has to be calculated;

Since T is the midpoint, then:

$PT = TQ$

This implies

$3x + 3 = 5x - 9$

Solve for x

$3x - 5x = -3 - 9$

$-2x = -12$

$x = -12/-2$

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Length PQ can then be calculated using:

$PQ = PT + TQ$

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Collect Like Terms

$PQ = 3x+ 5x +3 -9$

$PQ = 8x -6$

Substitute 6 for x

$PQ = 8 * 6 - 6$

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$PQ = 42$

6 0

3 years ago

Based on the graph, what is the initial value of the linear relationship?

yuradex [85]

Answer:

The initial value of the linear relationship is $y=-2$

Step-by-step explanation:

we know that

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therefore

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Observing the graph

The y-intercept is the point $(0,-2)$

For $x=0$

The value of y is equal to $y=-2$

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3 years ago

Figure A is a scale image of Figure B. What is the value of x?​

Figure A is a scale image of Figure B. What is the value of x?