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Nana76 [90]
3 years ago
9

Two similar figures have sides in the ratio of 2:3. If a side of the smaller triangle has a length of 7, what is the length of t

he corresponding side of the other triangle?
a.4 2/3
b.10 1/2
c.14
d.21
Mathematics
1 answer:
skelet666 [1.2K]3 years ago
7 0
Lengths of corresponding sides of similar polygons are in proportion.

That means that 2 is to 3 as 7 is to x where x is the length of the side of the other

triangle.

2/3= 7/x

2x = 21

x = 21/2 = 10 1/2

Answer:  b)  10  1/2


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8 + 8a - 2a - 4<br> Pls help
PIT_PIT [208]

Answer:

that would 6a+4

Step-by-step explanation:

8a - 2a , 8 - 4

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2 years ago
Read 2 more answers
Geometry<br> Solve for x. Round to the nearest tenth of a degree, if necessary.
zvonat [6]

Answer:

  13. x = 52.8°

  14. 663.65 ft

  15. 30.7 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.

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<h3>13.</h3>

The sides adjacent and opposite the angle are marked. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(x°) = 2.5/1.9

The angle is found using the inverse tangent function:

  x° = arctan(2.5/1.9) ≈ 52.8°

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<h3>14.</h3>

Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.

  Tan = Opposite/Adjacent

  tan(11°) = (129 ft)/(distance to shore)

  distance to shore = (129 ft)/tan(11°)

  distance to shore ≈ 663.65 ft

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<h3>15.</h3>

In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.

  Sin = Opposite/Hypotenuse

  sin(71°) = (29 ft)/(ladder length) . . . . substitute given information

  ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length

  ladder length ≈ 30.7 ft

3 0
2 years ago
What is the value of (2/4)^-4?
Maru [420]

Answer:

16 b plus a is mathematically plus 185 so 15

6 0
2 years ago
How are the solutions to the inequality -2x ≥ 10 different from the solutions to -2x &gt; 10?
CaHeK987 [17]

Answer:

First lets find the solutions to each inequality.

-2x\geq \\10 and -2x>10 (divide both sides by -2 to solve)

x\leq-5 and x<-5

x\leq-5 tell us that x could be -5 or less.

x<-5 tells us that x could be -6 or less.

The first one is less than or equal to which tells you that there is a possibility that the number is shows is could be an answer

Hope this helps ;)

4 0
3 years ago
Please help me. I need to find what W is​
cluponka [151]

Answer:

9

Step-by-step explanation:

w+13-\frac{2w}{3}=16

w · \frac{3}{3} -\frac{2w}{3}+13=16

\frac{w}{3}+13=16

\frac{w}{3}=3

w=9

6 0
2 years ago
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