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FromTheMoon [43]
4 years ago
11

Is ABC~LMN?If so, name which similarity postulate or theorem applies.

Mathematics
2 answers:
Hitman42 [59]4 years ago
7 0
The answer is variant A.
Because:
if the two angles of a triangle are congruent to two angles of the other triangle , this triangles are similar
Ray Of Light [21]4 years ago
7 0

Answer:

(A) Similar- AA

Step-by-step explanation:

Given: ΔABC is similar to ΔLMN

To find: Similarity postulate

Solution:

Two triangles are similar either by two angles or by one angle or two sides or by two angles and one side.

In this question it is given that two angles are equal, thus

In ΔABC and ΔLMN, we have

∠A=∠L=50° (Given)

∠B=∠M=75°(Given)

Thus, by AA similarity postulate,

ΔABC is similar to ΔLMN.

Hence, both the given triangles are similar by the option A postulate that is AA similarity postulate.

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A cylindrical soup can has a diameter of 3.6 in. and is 6.4 in. tall. Find the volume of the can.
arsen [322]
<h2>⚘Your Answer:------</h2>

<h3><u>Given</u><u> </u><u>Information</u><u>:</u></h3>

  • <u>Diameter of can</u>:- 3.6 cm
  • <u>Height of</u><u> </u><u>can</u><u>:</u><u>-</u> 6.4 cm

<h3><u>To</u><u> </u><u>Find</u><u> </u><u>Out</u><u>:</u></h3>

  • <u>Volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>Can</u><u>.</u>

<h3><u>Solution</u><u>:</u></h3>

Radius = (Diameter/2)

ㅤㅤㅤㅤ3.6 cm/2

ㅤㅤㅤㅤ1.8 cm

<u>So</u><u>,</u><u> </u><u>Radius</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>soup</u><u> </u><u>can</u><u> </u><u>is</u> 1.8 cm.

Volume øf cylinder = Volume øf can

Volume of cylinder = π r²h

(π = 22/7)

(r = radius = 1.8 cm)

(h = height = 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7×(1.8 cm)²× 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7× 3.24 cm² × 6.4 cm

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 22/7 × 20.736 cm³

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= (456.192/7) cm³

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ= 65.17 cm³

So, the Volume of the soup can is 65.17 cm³

ㅤㅤㅤㅤㅤㅤㅤㅤ⚘Thank You

7 0
3 years ago
I need help with this
9966 [12]

Answer:

$2.75

Step-by-step explanation:

You would divide the total (13.75) by the amount of crayons he got (5 packs) and you get your answer.

7 0
3 years ago
on a scale drawing, 5 metres is represented by 4 centimetres. write the scale as a ratio in it's simplest form.​
ryzh [129]

Answer:

<em>The scale factor is 1:125</em>

Step-by-step explanation:

<u>Scaling</u>

Objects can be represented in a reduced or augmented size by using scaling which consists of multiplying or dividing by a constant factor. We use scaling when representing geographic locations on a map.

On a scale drawing, a distance of 5 meters = 500 cm is represented by 4 centimeters. The scale factor is usually represented as a ratio of the smallest to the biggest magnitude:

\frac{4}{500}=\frac{1}{125}

The scale factor is 1:125

8 0
3 years ago
(1 point) Consider the function f(x)=−x3+2x2+2x+1 Find the average slope of this function on the interval (−2,6). equation edito
Whitepunk [10]

Answer:

Step-by-step explanation:

Given is a function

f(x)=-x^3+2x^2+2x+1

f(6) = -6^3+2(6^2)+2(6)+1\\=-131\\

f(-2) = -(-2)^3+2(-2)^2+2(-2)+1\\=13

Average slope of this function is change of f(x) in (-2,6)/change of x in (-2,6)

= \frac{-131-13}{8} \\=-18

By mean value theorem there exists a c such that f'(c) = -18

i.e. -3x^2+4x+2 =-8\\3x^2-4x-10 =0\\

Using quadratic formula

x = 2.61, -1.277

Out of these only 2.61 lies in the given interval

c = 2.61

7 0
4 years ago
What is -11/6 + m = -2/9
Helen [10]

Answer:

29/18

Step-by-step explanation:

-11/6 + m = -2/9

Add 11/6 to both sides.

+11/6  -11/6 + m = -2/9  +11/6

m=29/18

7 0
3 years ago
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