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cluponka [151]
3 years ago
9

If these two shapes are similar, what is the measure of the missing length b?

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

Answer:

b = 54 cm

Step-by-step explanation:

We can use proportions if the shapes are similar

Take the same side lengths over each other.

81   cm            b cm

----------- = --------------

24  cm           16 cm


Using cross products

81 *16 = 24*b

Divide each side by 24

81*16/24 = 24b/24

54 =b

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oksian1 [2.3K]

Answer:

15/30

Step-by-step explanation:

To get from 10 to 30 you have to muliply by 3.

So you do that to the 5 too.

5 * 3 = 15

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torisob [31]
5.75 is the answer.
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3 years ago
Graph the equation on the coordinate plane.
abruzzese [7]

Solution :

Given, the equation y=-2x.

To graph the equation on the coordinate plane, we first need to derive the different points of the equation  y=-2x,

at\:\;x=0\Rightarrow y= -2(0)=0\\\\at\:\;x=1\Rightarrow y= -2(1)=-2\\\\at\:\;x=2\Rightarrow y= -2(2)=-4\\\\at\:\;x=3\Rightarrow y= -2(3)=-6\\\\at\:\;x=-1\Rightarrow y= -2(-1)=2\\\\at\:\;x=-2\Rightarrow y= -2(-2)=4\\\\at\:\;x=-3\Rightarrow y= -2(-3)=6

The graph plotted using these points is shown in the figure,

8 0
3 years ago
Evaluate x + y + z if x = 3, y = -5, and z = -2
Eduardwww [97]

x + y + z

  • Substitute the given values for x, y, and z.

(3) + (-5) + (-2)

  • Rewrite the equation.

3 - 5 - 2

  • Solve from left to right.

3 - 5 = -2

-2 - 2 = -4

<h3>Your answer is -4.</h3>
7 0
3 years ago
Does anyone know what b is?
sveticcg [70]

Answer: b = 17

Step-by-step explanation: The figure shows a triangle which upon closer observation is actually two triangles placed one inside the other. We have triangle QTR (the larger one) and triangle PTS (the smaller one).

The line PS is parallel to line QR, so in effect what we have here are two similar triangles. The ratios of similarity can be derived as

Line QT/line TR = line PT/line TS OR

Line QT/line QR = line PT/line PS.

With these ratios in mind we can now write the following expressions from the similar triangles;

QT = 2b + (2b - 17) and

TR = 16 + 8

TR = 24

Hence,

2b/16 = 2b + (2b - 17)/24

(That is, PT/TS = QT/TR)

2b/16 = (4b - 17)/24

By cross multiplication we now have,

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By expanding the brackets we now have

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Divide both sides of the equation by -16

b = 17

**Note** A negative number divided by another negative number yields a positive answer.

7 0
3 years ago
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