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AfilCa [17]
3 years ago
13

Triangle ABC is similar to triangle LMN by the AA Similarity Postulate.

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
8 0
Well looking at the information in triangle ABC you know 

Angle B + Angle C = 180 - 144

so Angle B + Angle C = 36

since the triangles are similar let angle M = x   

then Angle C = 2x        and angle B = angle M but the similarity postulate

so form an equation 

2x + x = 36 

solve for x 

Hope it helps
notsponge [240]3 years ago
7 0

Answer:

Step-by-step explanation:

A=144

180-144=36

36 divided by 2= 18

144+18+18=180

M=18

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jekas [21]

Answer:

x = 41; B = 41°; A = 77°

Step-by-step explanation:

All of the angles add up to 180 so to solve for X you do (x) + (2x-5) + (62) = 180. Solve for X and you get 41. Lastly plut the answer back into the equation.

4 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Andrej [43]
1) Jason: Shop A - 11 units; Shop B - 12 units. Sales increase at 17% per week. So, 11 + 12 = 23.
 
f(x) = 23(1.17)ˣ

2) Daniel: Element A temp - 44(1.13)ˣ ; Element B temp - 17(1.13)ˣ. How much temp of Element A be more than the temp of Element B.

f(x) = 44(1.13)ˣ - 17(1.13)ˣ = 27(1.13)ˣ
f(x) = 27(1.13)ˣ

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5 0
4 years ago
Read 2 more answers
Suppose that an insect population’s density, in thousands per acre, during year n, can be modeled by the recursive formula: a1 =
vlabodo [156]

Answer:

The population alternates between increasing and decreasing

Step-by-step explanation:

<u><em>The options of the question are</em></u>

A) The population density decreases each year.

B) The population density increases each year.

C) The population density remains constant.

D) The population alternates between increasing and decreasing

we have

a_n=2.9(a_n_-_1)-0.2(a_n_-_1)^2

a_1=8

Find the value of a_2

For n=2

a_2=2.9(a_1)-0.2(a_1)^2

a_2=2.9(8)-0.2(8)^2=10.4

Find the value of a_3

For n=3

a_3=2.9(a_2)-0.2(a_2)^2

a_3=2.9(10.4)-0.2(10.4)^2=8.528

For n=4

a_4=2.9(a_3)-0.2(a_3)^2

a_4=2.9(8.528)-0.2(8.528)^2=10.1858

For n=5

a_5=2.9(a_4)-0.2(a_4)^2

a_5=2.9(10.1858)-0.2(10.1858)^2=8.7887

therefore

The population alternates between increasing and decreasing

7 0
3 years ago
Read 2 more answers
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DNA TAC ACC TTG GCG ACG ACT Write the mRNA strand then the Amino Acid sequence.
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