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3 years ago

Select three ratios that are equivalent to 4:3 Choose 3 answers:

Mathematics

2 answers:

Keith_Richards [23]3 years ago

8 0

Answer:

Ratios that are equivalent are: 8:6, 20:15 and 32:24

Step-by-step explanation:

There are more, but those are some that I found :)

postnew [5]3 years ago

6 0

Ratios equivalent to 4:3 would be 8:6 16:12 and 24:18

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In triangle MNO shown below, segment NP is an altitude:

Effectus [21]

Answer: C. Definition of an Altitude

Step-by-step explanation:

Given: In triangle MNO shown below, segment NP is an altitude from the right angle.

Let ∠MNP=x

Then ∠PNO=90°-x

Therefore in triangle MNO,

∠MPN=∠NPO =90° [by definition of Altitude]

[Definition of altitude : A line which passes through a vertex of a triangle, and joins the opposite side forming right angles. ]

Now using angle sum property in ΔMNP

∠MNP+∠MPN+∠PMN=180°

⇒x+90°+∠PMN=180°

⇒∠PMN=180°-90°-x

⇒∠PMN=90°-x

Now, in ΔMNO and ΔPNO

∠PMN=∠PNO=90°-x

and ∠MPN=∠NPO =90° [by definition of altitude]

Therefore by AA similarity postulate, we have

ΔMNO ≈ ΔPNO

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3 years ago

Adrian built a structure out of 10 congruent cubes. If each cube has a volume of 8 cu. centimeters, what is the total

kobusy [5.1K]

Answer:

Option (b).

Step-by-step explanation:

It is given that Adrian built a structure out of 10 congruent cubes.

Volume of each cube = 8 cubic centimetres.

We need to find the total volume of the structure.

Total volume = No. of cubes × Volume of each cube

$V=10\times 8$

$V=80$

Therefore, the total volume of the structure is 80 cubic centimetres.

Hence, option (b) is correct.

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3 years ago

Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only) A right triangl

romanna [79]

Answer:

The angle is 52 degree.

Step-by-step explanation:

length of of side, L = 8

Hypotenuse, H = 13

According to the trigonometry,

$cos y = \frac{L}{H}\\\\cos y = \frac{8}{13}\\\\cos y = 0.62\\\\y = 52^0$

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I believe the answer is 47%.

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3 years ago

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